|
[QUOTE=Bdot;304244]Would it be useful to add a checksum in the result lines, just to make sure it's not modified before submittal but we (I) really have to deal with a bug? At first, that checksum would only be recorded, but later the server could also verify it ...[/QUOTE]
Yepp, would be useful! It would be easy to spot transmission errors and spot "stupid" people cheating. Because the code is GPL we must put the key (or whatever generates the checksum) into to code, too. So a "smart" cheater can create correct checksums for fake results. So a simple CRC32 is a good idea. Oliver |
Axelsson posted on the GPU272 thread. I've sent him a PM asking for more details and help to spot the error/bug.
|
I've been suspicious of the code, as I didn't find any factors after a couple of hundred candidates tested. When another guy found factors at the same bit level I finally got something to test against and when running mfakto I didn't find anything. I've been hunting for the bug a couple of days now but I wanted to be sure it was a bug in the code and not something I did....
... I've made a fool out of myself more than one time when I start posting on a new forum. :smile: I almost understand the code now so I had started writing on an error report this afternoon, but Bdot beat me to it. You don't need to worry about my exponents, when the bug is squashed I'll rerun any suspected exponents that I've reported. /Göran |
Short update: I can reproduce the bug and am debugging it right now. At first it seemed like it happens only when multiple bitlevels are done at once. But I've also seen the failure once with just 2^65 to 2^66.
|
Hi,
please sent me a list of the test cases which fail with mfakto. I want to test them with mfaktc (because mfakto is based on mfaktc). Bdot: if you have some details what/why it fails I would be happy if you tell me the details. Oliver |
[QUOTE=TheJudger;304295]Hi,
please sent me a list of the test cases which fail with mfakto. I want to test them with mfaktc (because mfakto is based on mfaktc). Bdot: if you have some details what/why it fails I would be happy if you tell me the details. Oliver[/QUOTE] The testcase boils down to Factor=N/A,601983997,65,66 Factor=N/A,601986001,65,66 which fails for two kernels with mfakto (barrett15_75 and mfakto_cl_71). I've added them to the selftest where they fail as well. The other kernels find the factor, so it must be something in these two kernels. LaurV has done the tests for mfaktc already, and did not find a problem. I plan to not go to bed today before I killed that bug. By then I hopefully can tell you all what is affected and what not. |
[QUOTE=Bdot;304301]The testcase boils down to
Factor=N/A,601983997,65,66 Factor=N/A,601986001,65,66 which fails for two kernels with mfakto (barrett15_75 and mfakto_cl_71). [/QUOTE] The kernels are all OK, it's the precomputing step (doing the exponentiation without modular reduction on the CPU). One step too much for these two kernels led to an overflow in the first modulus in the kernel. What are the conditions for the bug to happen? [LIST=1][*]the exponent in binary must start with 1000111 (which means 71*2[SUP]n[/SUP] < exp < 71*2[SUP]n[/SUP]+2[SUP]n[/SUP]). Interesting ranges include, for example, 37.224.449 .. 37.748.735, 74.448.897 .. 75.497.471, 595.591.169 .. 603.979.775 (the range where the two testcases came from).[*]mfakto must have chosen either barrett15_75 or mfakto_cl_71 for the test[*]the bitlevel(s) to be tested must be up to 2[SUP]71[/SUP] or lesser (tests for 2[SUP]71[/SUP]..2[SUP]72[/SUP] and 2[SUP]72[/SUP]..2[SUP]73[/SUP] are not affected).[*]barrett15_75 only: The lower the bitlevel, the higher the chance for the bug to occur. This kernel will likely not find any factors below 2[SUP]68[/SUP] in the ranges mentioned in (1).[*]mfakto_cl_71 only: the "miss" chance depends only on the bit-pattern of the factor - I did not evaluate them exactly as it would not add any value - the above ranges that were tested with this kernel should be rechecked.[/LIST]Tests with (1) AND (2) AND (3) should be redone. Question is, how can we find them? Tomorrow I will verify the above information - right now I'm quite tired ... I will provide a patch for mfakto within the next days - until then: keep away from the above ranges. I'm really sorry for this trouble ... |
[QUOTE=Bdot;304318]Tests with (1) AND (2) AND (3) should be redone. Question is, how can we find them?[/QUOTE]
If you give me the all of the ranges in question, I could quite easily spider them to find which candidates were TFed at the depths you've specified with mfakto using the two kernels in question. |
[QUOTE=chalsall;304349]If you give me the all of the ranges in question, I could quite easily spider them to find which candidates were TFed at the depths you've specified with mfakto using the two kernels in question.[/QUOTE]
Thanks. The complete list of ranges is: 1163264 - 1179648 2326528 - 2359296 4653056 - 4718592 9306112 - 9437184 18612224 - 18874368 37224448 - 37748736 74448896 - 75497472 148897792 - 150994944 297795584 - 301989888 595591168 - 603979776 1191182336 - 1207959552 2382364672 - 2415919104 Searching for barrett15_75 and mfakto_cl_71 with "to 2^71" or below is sufficient (these kernel names are unique to mfakto). I've analyzed the bug thoroughly, also with respect to the other kernels and their limits. I did not find any further way to make the precomputing overflow the modulus, so to the best I can tell: this is it. The problem is fixed and the fix being tested (I'll send it around to the testers later). |
[QUOTE=Bdot;304359]Searching for barrett15_75 and mfakto_cl_71 with "to 2^71" or below is sufficient (these kernel names are unique to mfakto).[/QUOTE]
OK, the spidering is still underway, but the preliminary results are encouraging. :smile: All of your specified ranges below 74,448,896 have been completed, and only the following match your specs: [CODE],History,no factor for M2328107 from 2^61 to 2^62 [mfakto 0.08-Win mfakto_cl_71] by "lycorn" on 2011-11-30 ,History,no factor for M2330837 from 2^61 to 2^62 [mfakto 0.08-Win mfakto_cl_71] by "lycorn" on 2011-11-30 ,History,no factor for M2346413 from 2^61 to 2^62 [mfakto 0.08-Win mfakto_cl_71] by "lycorn" on 2012-01-23 ,History,no factor for M2346413 from 2^62 to 2^63 [mfakto 0.08-Win mfakto_cl_71] by "lycorn" on 2012-01-23 ,History,no factor for M2346413 from 2^63 to 2^64 [mfakto 0.08-Win mfakto_cl_71] by "lycorn" on 2012-01-23 ,History,no factor for M2355799 from 2^61 to 2^62 [mfakto 0.08-Win mfakto_cl_71] by "lycorn" on 2012-01-23 ,History,no factor for M2355799 from 2^62 to 2^63 [mfakto 0.08-Win mfakto_cl_71] by "lycorn" on 2012-01-23 ,History,no factor for M2355799 from 2^63 to 2^64 [mfakto 0.08-Win mfakto_cl_71] by "lycorn" on 2012-01-23[/CODE] And just for confirmation, you're [B][I][U]not[/U][/I][/B] concerned about anything using kernel "mfakto_cl_barrett79" nor "mfakto_cl_barrett79_4". Correct? There are also a few matches for "mfakto_cl_71_4" up in the 601M range. I'll report on that (and any other Spidy finds) once the other (much larger) ranges complete. |
[QUOTE=chalsall;304377]OK, the spidering is still underway, but the preliminary results are encouraging. :smile:
All of your specified ranges below 74,448,896 have been completed, and only the following match your specs: [CODE],History,no factor for M2328107 from 2^61 to 2^62 [mfakto 0.08-Win mfakto_cl_71] by "lycorn" on 2011-11-30 ,History,no factor for M2330837 from 2^61 to 2^62 [mfakto 0.08-Win mfakto_cl_71] by "lycorn" on 2011-11-30 ,History,no factor for M2346413 from 2^61 to 2^62 [mfakto 0.08-Win mfakto_cl_71] by "lycorn" on 2012-01-23 ,History,no factor for M2346413 from 2^62 to 2^63 [mfakto 0.08-Win mfakto_cl_71] by "lycorn" on 2012-01-23 ,History,no factor for M2346413 from 2^63 to 2^64 [mfakto 0.08-Win mfakto_cl_71] by "lycorn" on 2012-01-23 ,History,no factor for M2355799 from 2^61 to 2^62 [mfakto 0.08-Win mfakto_cl_71] by "lycorn" on 2012-01-23 ,History,no factor for M2355799 from 2^62 to 2^63 [mfakto 0.08-Win mfakto_cl_71] by "lycorn" on 2012-01-23 ,History,no factor for M2355799 from 2^63 to 2^64 [mfakto 0.08-Win mfakto_cl_71] by "lycorn" on 2012-01-23[/CODE][/QUOTE] I'll redo them quickly (with the fixed mfakto AND mfaktc ;-) ) [QUOTE=chalsall;304377]And just for confirmation, you're [B][I][U]not[/U][/I][/B] concerned about anything using kernel "mfakto_cl_barrett79" nor "mfakto_cl_barrett79_4". Correct? There are also a few matches for "mfakto_cl_71_4" up in the 601M range. I'll report on that (and any other Spidy finds) once the other (much larger) ranges complete.[/QUOTE] That is correct, the barrett79 kernel is not affected. The trailing _<n> is just the vector size this kernel was used with, so all _<n> need to be included. Thanks a lot for your help, and also big thank you to dabaichi and Axelsson for finding and reporting the bug! |
The probability to trigger this bug is one in 128 and only with some distinct factoring depths... so what was the probability that I would run into it?
People that knows me know that with me in the mix the possibility to trigger the bug is close to unity! I like to experiment. I break every program I get close to. :tantrum: :grin: Thanks for fixing the code so fast! :tu: /Göran |
[QUOTE=Bdot;304385]I'll redo them quickly (with the fixed mfakto AND mfaktc ;-) )[/QUOTE]
OK. Spidy has found 691 up in the 601M range (all by Axelsson). Nothing else (yet) in the other ranges. How did you want to handle this Bdot? Would it help if I sed'ed them into "Factor=..." assignment lines, and PM them to you? Or did you want the raw results lines? |
It seems proper that I should rerun the results I reported. I already have an assignment list of the factors ready to feed to mfakto.
But maybe Bdot wants to double check it against mfaktc. /Göran |
[QUOTE=chalsall;304408]OK. Spidy has found 691 up in the 601M range (all by Axelsson). Nothing else (yet) in the other ranges.
How did you want to handle this Bdot? Would it help if I sed'ed them into "Factor=..." assignment lines, and PM them to you? Or did you want the raw results lines?[/QUOTE] [QUOTE=Axelsson;304413]It seems proper that I should rerun the results I reported. I already have an assignment list of the factors ready to feed to mfakto. But maybe Bdot wants to double check it against mfaktc. /Göran[/QUOTE] If you could PM a "Factor=..." list to me and Göran, that would be great! I could put a Quadro2000 on it right now. Göran, thanks a lot for helping me with this ... I'll send you the fixed binary soon - I'd like to run these test with both mfakto and mfaktc, just to be sure. |
Hi Chalsall
[QUOTE=chalsall;304408]OK. Spidy has found 691 up in the 601M range (all by Axelsson). Nothing else (yet) in the other ranges.[/QUOTE] I found 692 in my list. I've sent a list to Bdot already. If you can send me a raw list with numbers only then I can compare it with mine and see if there is any difference. /Göran |
[QUOTE=Axelsson;304419]I found 692 in my list.[/QUOTE]
Yes. 692 total, but one was done with "mfakto_cl_barrett72_4". I'm about to send you and Bdot links to the raw results lines, and a SED'ed worktodo.txt file. I'll leave it up to you two to work out what ranges you each want to do. |
Done!
I've re-run all the candidates I tested with mfakto 0.11 earlier and with the new 0.12 code I found 19 factors, two already known. I even think the new program is a bit faster than the old one. :smile: :tu: /Göran |
M67389239 has a factor: 1389239703570981962393
k = 2^2 * 7 * 11 * 233 * 143631601 = 10307578214164 |
I haven't done any low P-1 for a while, but couldn't resist. Very pleased to find a factor fairly quickly, although it means there will now be a long drought :grin:.
P-1 found a factor in stage #2, B1=6000000, B2=240000000. M838909 has a factor: 1453468273441466194761003847 28 decimal digits, 91 bits k = 3^2 x 181 x 23117 x 130469 x 176319691 |
M67389481 has a factor: 1543348085740945176727
k = 3^3 * 11 * 82757 * 465887 = 11450956906323 |
M344112403 has a factor: 1042173856480468315151
k = 5^2 * 31 * 103 * 18970157 = 1514292782525 |
M56309941:
P-1 found a factor in stage #1, B1=545000. UID: Jwb52z/Clay, M56309941 has a factor: 21878160101311995365897 It is 74.212 bits which is another one that was narrowly missed by previous work, I guess. |
This is just my lucky day
M56570351 P-1 found a factor in stage #1, B1=560000. UID: Jwb52z/Clay, M56570351 has a factor: 189058627460533229809313 It's 77.323 bits, so it's another factor that isn't hugely far beyond the previous factoring work. |
[QUOTE=Axelsson;304496]Done!
I've re-run all the candidates I tested with mfakto 0.11 earlier and with the new 0.12 code I found 19 factors, two already known. I even think the new program is a bit faster than the old one. :smile: :tu: /Göran[/QUOTE] Oh, and BTW, my mfaktc-run returned the same set of factors. This means all candidates for mfakto-missed factors have been rechecked. Thanks again to all involved in the cleanup. |
M890091977 has a factor: 1966225272665366346285896554164056540033-130.531 bits
splits as: M890091977 has a factor: 47183073503648976793-65.359 bits M890091977 has a factor: 41672259279873008681-65.176 bits k=2^2*3^2*17*467*92737 k=2^2*5*31*37*79*12917 Could've been found with ~B1=13k B2=95k or b1=b2=93k |
M344112799 has a factor q=321855887896651410431; log2(q)=68.125...
k = 5 * 19 * 29 * 31 * 5475797 = 467660442785; log2(k)=38.767... |
P-1 found a factor in stage #1, B1=560000.
UID: Jwb52z/Clay, M56726627 has a factor: 67204881864680452191371071 It's 85.797 bytes. |
P-1 found a factor in stage #2, B1=565000, B2=11158750.
UID: Jwb52z/Clay, M56907583 has a factor: 7878087690390529790977 This was narrowly missed by TF because the factor is only: 72.738 bits |
P-1 found a factor in stage #2, B1=565000, B2=11158750.
UID: Jwb52z/Clay, M56929319 has a factor: 26321049935496807610001 74.479 bits. |
[URL="http://mersenne-aries.sili.net/exponent.php?exponentdetails=11800211"]M11800211[/URL]
[CODE]P-1 found a factor in stage #2, B1=230000, B2=5520000. UID: PageFault/boxen_01, M11800211 has a factor: 62708105304961479817[/CODE] k = 2^2 * 3 * 179 * 829 * 1492159 stage 2 mem use: 1753 MB, E=6 |
M344113669 has a factor q=40251236194555781233; log2(q)=65.126...
k = 2^3 * 3 * 193 * 12626377 = 58485378264; log2(k)=35.767... |
P-1 found a factor in stage #2, B1=10000000, B2=200000000.
M839473 has a factor: 2149913898528633485037260447 28 decimal digits, 91 bits, k = 443 x 21817 x 3317257 x 39939853 P-1 found a factor in stage #2, B1=10000000, B2=200000000. M837817 has a factor: 3516958672618435719303337 25 decimal digits, 82 bits, k = 2^2 x 3 x 15217 x 584387 x 19668773 |
I found the 60500th composite for which at least a prime factor is known in the exponent range 1-999999:
P-1 found a factor in stage #2, B1=10000000, B2=200000000. M385057 has a factor: 3634487404879112186060209 k = 2[sup]3[/sup] × 3 × 7 × 677 × 1342849 × 30900323 |
M55242679 has a factor: 167197010536698925907216966132447
k = 11 × 1873 × 4441 × 31643 × 386537 × 1352209 107 bit factor -- Craig |
M902298569 has a factor q=3116261093828574870649; log2(q)=71.4
k = 2^2 * 3^2 * 6337 * 7569503 = 1726845858396; log2(k)=40.651... M902298589 has a factor q=634214876226852164287; log2(q)=69.104... k = 3 * 7 * 43 * 389196029 = 351444014187; log2(k)=38.355... M902298637 has a factor q=79709735651167576303; log2(q)=66.111... k = 3 * 37 * 397931293 = 44170373523; log2(k)=35.362... |
[Sat Jul 28 14:13:46 2012]
P-1 found a factor in stage #2, B1=80000, B2=1440000. UID: firejuggler, M6681947 has a factor: 33513375896009391634897543193162514862727063 144.588 bits, split into prime factor 10045484547776713447(a) and 3336163202145051173349329 (b) k(a) =3 × 43 × 4933 × 1181237 (63.123 bits) k(b)=2^3 × 7 × 17 × 149 × 379 × 7537 × 616103(81.465 bits) this is my first factor found above 100 bits |
P-1 found a factor in stage #2, B1=530000, B2=9805000.
UID: Jwb52z/Clay, M58084711 has a factor: 40109655999466569218743 75.086 bits. |
Found one of my first Brent-Suyama factor, only 75.126 bit:
P-1 found a factor in stage #2, B1=600000, B2=13650000, E=6. M45651311 has a factor: 41212405819746048243953 k = 451382500491016 = 2^3 × 733 × 2969 × 25926301 |
P-1 found a factor in stage #2, B1=540000, B2=10260000.
UID: Jwb52z/Clay, M58708547 has a factor: 77918947761148856781119 76.044 bits. |
P-1 found a factor in stage #2, B1=545000, B2=10218750.
UID: Jwb52z/Clay, M58904299 has a factor: 1054496884269077555419118839 89.769 bits I originally thought this was the largest factor I've ever found, since I haven't always posted them here, but I found 3 that were larger that I found quite a while ago. |
ECM:
M6878737 has a factor q=58812548956819998040297; log2(q)=75.639... k =2^2 * 3^2 * 20369 * 5829872981 = 4274952578999604; log2(k)=51.925... |
P-1 found a factor in stage #1, B1=545000.
UID: Jwb52z/Clay, M58935883 has a factor: 315972002069553587031076529 88.030 bits I do wonder, though, why I only got 1.7556 Ghz Days worth of credit for this when I normally get nearly 3.5 Ghz days for other numbers near this range. |
M902300053 has a factor q=1987665651930723554137; log2(q)=70.752...
k = 2^2 * 3 * 53 * 1731829921 = 1101443829756; log2(k)=40.003... M902300369 has a factor q=37939501053146450447; log2(q)=65.04... k = 13 * 107 * 15114137 = 21023764567; log2(k)=34.291... M902300401 has a factor q=128807058523170411143; log2(q)=66.804... k = 11 * 43 * 67 * 271 * 8311 = 71377037171; log2(k)=36.055... M902300639 has a factor q=517640212241638805191; log2(q)=68.811... k = 3 * 5 * 19122976307 = 286844644605; log2(k)=38.061... M902300969 has a factor q=376094937656320061743; log2(q)=68.35... k = 3^5 * 1319 * 650227 = 208408807359; log2(k)=37.601... M902301181 has a factor q=756479558972513921191; log2(q)=69.358... k = 3 * 5 * 449 * 3137 * 19841 = 419194596495; log2(k)=38.609... M902301319 has a factor q=1354365328060132713967; log2(q)=70.198... k = 3 * 250168707419 = 750506122257; log2(k)=39.449... M902301709 has a factor q=120046280782352706367; log2(q)=66.702... k = 3 * 13 * 1705698733 = 66522250587; log2(k)=35.953... M902304757 has a factor q=1717310095120704573953; log2(q)=70.541... k = 2^8 * 3717282053 = 951624205568; log2(k)=39.792... M902304779 has a factor q=125258420974280553191; log2(q)=66.763... k = 5 * 7^2 * 11 * 25755199 = 69410261305; log2(k)=36.014... M902305259 has a factor q=2834824802627341430783; log2(q)=71.264... k = 29 * 54168242081 = 1570879020349; log2(k)=40.515... M902305291 has a factor q=41291270227348738769; log2(q)=65.162... k = 2^3 * 1439 * 1987577 = 22880986424; log2(k)=34.413... M902305609 has a factor q=2024973381972647618423; log2(q)=70.778... k = 73 * 35117 * 437719 = 1122110602979; log2(k)=40.029... M902305637 has a factor q=1283032346396618935849; log2(q)=70.12... k = 2^2 * 3 * 211 * 461 * 609101 = 710974360452; log2(k)=39.371... M902305757 has a factor q=451751046950084878457; log2(q)=68.614... k = 2^2 * 881 * 7309 * 9719 = 250331466604; log2(k)=37.865... |
M8345191 has a factor: 252916073599425751447926860983 (97.675 bits)
(my largest prime factor so far) k=3 × 1061 × 1619 × 22877 × 80863 × 1589563 (73.682 bits) |
M902301821 has a factor q=546029122170329139599; log2(q)=68.888...
k = 48883 * 6189793 = 302575651219; log2(k)=38.139... M902302007 has a factor q=1248470126648483356279; log2(q)=70.081... k = 3^2 * 19 * 79 * 2663 * 19231 = 691824974877; log2(k)=39.332... M902306011 has a factor q=580496527190506669601; log2(q)=68.976... k = 2^4 * 5^2 * 11 * 13 * 43 * 130783 = 321673866800; log2(k)=38.227... M902306149 has a factor q=510127440725951257849; log2(q)=68.789... k = 2^2 * 3 * 587 * 40130579 = 282679798476; log2(k)=38.04... |
P-1 found a factor in stage #2, B1=550000, B2=10312500.
UID: Jwb52z/Clay, M59170483 has a factor: 693616630228551988296851873 89.164 bits |
M902302487 has a factor q=65397049479790834721; log2(q)=65.826...
k = 2^4 * 5 * 452987291 = 36238983280; log2(k)=35.077... M902302697 has a factor q=167030008789889213503; log2(q)=67.179... k = 3 * 71 * 971 * 447521 = 92557635783; log2(k)=36.43... M902303011 has a factor q=4207658080654651793977; log2(q)=71.834... k = 2^2 * 3^3 * 13^2 * 127746079 = 2331621433908; log2(k)=41.084... M902303341 has a factor q=1001628611985894100847; log2(q)=69.763... k = 11 * 83 * 281 * 349 * 6199 = 555039844403; log2(k)=39.014... M902303561 has a factor q=43571266414601383273; log2(q)=65.24... k = 2^2 * 3 * 2012038423 = 24144461076; log2(k)=34.491... M902306221 has a factor q=43485839968411567847; log2(q)=65.237... k = 7 * 761 * 4523569 = 24097052063; log2(k)=34.488... M902306663 has a factor q=46298326518436984921; log2(q)=65.328... k = 2^2 * 3^2 * 5 * 383 * 563 * 661 = 25655538420; log2(k)=34.579... M902306857 has a factor q=77630172282625069759; log2(q)=66.073... k = 3 * 7 * 71 * 223 * 129379 = 43017611847; log2(k)=35.324... M902307167 has a factor q=2658058694527822831841; log2(q)=71.171... k = 2^4 * 5 * 7 * 367 * 7166813 = 1472923407760; log2(k)=40.422... M902308079 has a factor q=69010173439558559231; log2(q)=65.903... k = 5 * 11 * 1409 * 493463 = 38240915185; log2(k)=35.154... M902308937 has a factor q=1297520830679314464631; log2(q)=70.136... k = 3^2 * 5 * 11 * 41 * 35427461 = 719000320995; log2(k)=39.387... M902309363 has a factor q=1834142419141688310673; log2(q)=70.636... k = 2^3 * 3 * 17 * 2491078609 = 1016360072472; log2(k)=39.887... |
M902304239 has a factor q=3013773054063715928489; log2(q)=71.352...
k = 2^2 * 7 * 59644378957 = 1670042610796; log2(k)=40.603... 59644378957/71.352 = 835917408.86... M902310169 has a factor q=275599175897036777783; log2(q)=67.901... k = 89 * 1715939851 = 152718646739; log2(k)=37.152... 1715939851/67.901 = 25271201.47... M902310221 has a factor q=600242903106780211463; log2(q)=69.024... k = 41 * 67 * 121082813 = 332614487311; log2(k)=38.275... 121082813/69.024 = 1754213.22... M902310223 has a factor q=92203252897354539641; log2(q)=66.321... k = 2^2 * 5 * 7 * 19 * 19207849 = 51092878340; log2(k)=35.572... 19207849/66.321 = 289619.41... M902310281 has a factor q=106080189254734506727; log2(q)=66.524... k = 3 * 19594181641 = 58782544923; log2(k)=35.775... 19594181641/66.524 = 294543046.74... |
M902311733 has a factor q=151612464915518733911; log2(q)=67.039...
k = 5 * 7 * 2400381461 = 84013351135; log2(k)=36.29... 2400381461/67.039 = 35805746.82... |
P-1 found a factor in stage #2, B1=12000000, B2=500000000.
[URL="http://www.mersenne.org/report_exponent/?exp_lo=296557&B1=Get+status"]M296557[/URL] has a factor: [URL="http://mersenne-aries.sili.net/exponent.php?exponentdetails=296557"]1295569169434409217774613690068123839[/URL] 37 decimal digits, [B]120 bits[/B] k = 7 x 59 x 149 x 503 x 1699 x 684857 x 4006463 x 15137833 A new largest for me! :w00t: :coffee: |
M902312419 has a factor q=4581895364772939163487; log2(q)=71.956...
k = 17 * 461 * 323972681 = 2538973900997; log2(k)=41.207... 323972681/71.956 = 4502372.02... M902313017 has a factor q=1017944655048115747591; log2(q)=69.786... k = 3 * 5 * 11 * 199 * 239 * 71879 = 564075124635; log2(k)=39.037... 71879/69.786 = 1029.99... |
M902313557 has a factor q=479123579286716032783; log2(q)=68.699...
k = 3^4 * 37 * 109 * 812731 = 265497273963; log2(k)=37.95... 812731/68.699 = 11830.32... M902313611 has a factor q=378568644700552546039; log2(q)=68.359... k = 3 * 31 * 2255662853 = 209776645329; log2(k)=37.61... 2255662853/68.359 = 32997306.18... M902314031 has a factor q=4640870897132005948927; log2(q)=71.975... k = 3 * 653 * 1312735847 = 2571649524273; log2(k)=41.226... 1312735847/71.975 = 18238775.23... M902314859 has a factor q=3670377569332346801479; log2(q)=71.636... k = 3 * 11 * 227 * 599 * 453269 = 2033867409321; log2(k)=40.887... 453269/71.636 = 6327.39... M902315371 has a factor q=1895628726863237620271; log2(q)=70.683... k = 5 * 1867 * 112525411 = 1050424711685; log2(k)=39.934... 112525411/70.683 = 1591972.77... |
M902316589 has a factor q=107001589643906155217; log2(q)=66.536...
k = 2^3 * 19 * 23 * 29 * 239 * 2447 = 59292708872; log2(k)=35.787... 2447/66.536 = 36.78... M902317027 has a factor q=184971942017222331313; log2(q)=67.326... k = 2^3 * 3^2 * 11 * 129417059 = 102498310728; log2(k)=36.577... 129417059/67.326 = 1922244.88... M902317799 has a factor q=827975159689921464217; log2(q)=69.488... k = 2^2 * 3 * 19 * 3469 * 580081 = 458804625492; log2(k)=38.739... 580081/69.488 = 8347.93... M902317811 has a factor q=217550653997273036351; log2(q)=67.56... k = 5^2 * 37537 * 128461 = 120551013925; log2(k)=36.811... 128461/67.56 = 1901.44... M902317879 has a factor q=990986520316685243161; log2(q)=69.747... k = 2^2 * 3 * 5 * 5087 * 1799141 = 549133816020; log2(k)=38.998... 1799141/69.747 = 25795.25... M902318423 has a factor q=1957532164216354373953; log2(q)=70.73... k = 2^5 * 3 * 127 * 88970111 = 1084723593312; log2(k)=39.98... 88970111/70.73 = 1257883.66... M902318453 has a factor q=3326299848278932315937; log2(q)=71.494... k = 2^4 * 23 * 2851 * 1756817 = 1843196178256; log2(k)=40.745... 1756817/71.494 = 24572.93... M902318849 has a factor q=1490557487300459619913; log2(q)=70.336... k = 2^2 * 3^2 * 13 * 269 * 6560857 = 825959409444; log2(k)=39.587... 6560857/70.336 = 93278.79... M902319359 has a factor q=779158076783080257569; log2(q)=69.4... k = 2^4 * 37 * 20899 * 34897 = 431752942576; log2(k)=38.651... 34897/69.4 = 502.84... |
P-1 found a factor in stage #1, B1=545000.
UID: Jwb52z/Clay, M58907483 has a factor: 21895977518918366260489 74.213 bits |
M902319661 has a factor q=941278786903786137727; log2(q)=69.673...
k = 3 * 107 * 1471 * 1104613 = 521588317083; log2(k)=38.924... 1104613/69.673 = 15854.25... M902319797 has a factor q=474003371879847093631; log2(q)=68.683... k = 3 * 5 * 23 * 397 * 1917703 = 262658191395; log2(k)=37.934... 1917703/68.683 = 27921.07... M902319997 has a factor q=152886475168503447913; log2(q)=67.051... k = 2^2 * 3 * 17 * 277 * 1499231 = 84718545348; log2(k)=36.302... 1499231/67.051 = 22359.56... M902330183 has a factor q=383814941159395230497; log2(q)=68.379... k = 2^4 * 11 * 1208408381 = 212679875056; log2(k)=37.63... 1208408381/68.379 = 17672214.88... M902330827 has a factor q=40155793610827964929; log2(q)=65.122... k = 2^8 * 3 * 317 * 91397 = 22251148032; log2(k)=34.373... 91397/65.122 = 1403.47... M902320789 has a factor q=416138630231732343431; log2(q)=68.496... k = 5 * 11 * 19 * 127 * 461 * 3769 = 230593506935; log2(k)=37.747... 3769/68.496 = 55.03... M902332213 has a factor q=673107315795238000519; log2(q)=69.189... k = 3^3 * 113 * 122249093 = 372981982743; log2(k)=38.44... 122249093/69.189 = 1766886.25... M902333039 has a factor q=892658938810827552313; log2(q)=69.597... k = 2^2 * 3 * 13 * 3170765359 = 494639396004; log2(k)=38.848... 3170765359/69.597 = 45558937.3... |
P-1 found a factor in stage #2, B1=545000, B2=10218750.
UID: Jwb52z/Clay, M59044813 has a factor: 18276253296770689169091850290413113 113.816 bits. I think this is my largest ever found factor. The other factors over 100 weren't past 104 bits, I think. |
114 bits
Awesome, congratulations. I'm still waiting for a 11X bit factor.
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Some interesting statistics including P-1 records can be found at [url]http://www.mersenne-aries.sili.net/stats.php?showuserstats=*[/url]
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I got a [URL="http://www.mersenne-aries.sili.net/exponent.php?exponentdetails=79427"]new hit[/URL] last night, the [B]lowest[/B] expo I ever succeed to factor (I think, and I am not talking about factoring 2^11-1 into 23 and 89, that I do quite frequently, to check if the factorization did not change since last time I checked :smile:, but I am talking about real hard-to-split expos and unknown factors!) and it brought my second largest factor ever (113 bits). It also was the "almost perfect" B1/B2 settings (it is not a BrSuy find, I had B2 set to 2*10^9).
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M902333129 has a factor q=111890102193526820641; log2(q)=66.601...
k = 2^4 * 3 * 5 * 258335167 = 62000440080; log2(k)=35.852... 258335167/66.601 = 3878848.17... M902333147 has a factor q=370413239888914408441; log2(q)=68.328... k = 2^2 * 3^3 * 5 * 380098219 = 205253038260; log2(k)=37.579... 380098219/68.328 = 5562847.13... M902333717 has a factor q=4638648500830779963617; log2(q)=71.974... k = 2^4 * 11 * 10723 * 1361963 = 2570361947824; log2(k)=41.225... 1361963/71.974 = 18922.99... M902333797 has a factor q=624518637782528299543; log2(q)=69.081... k = 3 * 17 * 6785439893 = 346057434543; log2(k)=38.332... 6785439893/69.081 = 98224401.69... M902334053 has a factor q=345764184132616288007; log2(q)=68.228... k = 11 * 17417666741 = 191594334151; log2(k)=37.479... 17417666741/68.228 = 255286198.35... M902334457 has a factor q=4403583541975604681801; log2(q)=71.899... k = 2^2 * 5^2 * 7 * 461 * 7561531 = 2440106053700; log2(k)=41.15... 7561531/71.899 = 105168.79... M902342039 has a factor q=229391484067723403623; log2(q)=67.636... k = 3 * 7 * 17 * 227 * 787 * 1993 = 127108942149; log2(k)=36.887... 1993/67.636 = 29.47... M902342557 has a factor q=1208358567274668645361; log2(q)=70.034... k = 2^3 * 3 * 5 * 7 * 17 * 46888483 = 669567537240; log2(k)=39.284... 46888483/70.034 = 669510.28... M902322307 has a factor q=98297416585013681143; log2(q)=66.414... k = 3^2 * 23 * 29 * 349 * 25999 = 54469126953; log2(k)=35.665... 25999/66.414 = 391.47... M902322389 has a factor q=3760921131596398309489; log2(q)=71.672... k = 2^3 * 3 * 13 * 2053 * 3253561 = 2084022948696; log2(k)=40.923... 3253561/71.672 = 45395.15... M902322461 has a factor q=4003911097418185697231; log2(q)=71.762... k = 5 * 43159 * 10281377 = 2218669749715; log2(k)=41.013... 10281377/71.762 = 143270.49... M902323013 has a factor q=363438011054145139969; log2(q)=68.3... k = 2^7 * 3 * 149 * 3519823 = 201390192768; log2(k)=37.551... 3519823/68.3 = 51534.74... M902323349 has a factor q=104993385423957954529; log2(q)=66.509... k = 2^4 * 3 * 11 * 61 * 839 * 2153 = 58179468336; log2(k)=35.76... 2153/66.509 = 32.37... M902323361 has a factor q=88173109301426250713; log2(q)=66.257... k = 2^2 * 13 * 939594823 = 48858930796; log2(k)=35.508... 939594823/66.257 = 14181064.99... M902323969 has a factor q=150482107732569848017; log2(q)=67.028... k = 2^3 * 3 * 823 * 4221641 = 83385853032; log2(k)=36.279... 4221641/67.028 = 62983.25... M902324053 has a factor q=2123972220853105796161; log2(q)=70.847... k = 2^5 * 3^2 * 5 * 13 * 62871013 = 1176945363360; log2(k)=40.098... 62871013/70.847 = 887419.55... M902324399 has a factor q=104282972940420102167; log2(q)=66.499... k = 13 * 4445057209 = 57785743717; log2(k)=35.75... 4445057209/66.499 = 66843970.72... M902325019 has a factor q=2620005059505116022689; log2(q)=71.15... k = 2^4 * 13 * 6979845347 = 1451807832176; log2(k)=40.401... 6979845347/71.15 = 98100426.52... M902325241 has a factor q=1102979775377288175343; log2(q)=69.902... k = 3 * 17 * 11984068181 = 611187477231; log2(k)=39.153... 11984068181/69.902 = 171440991.4... M902343329 has a factor q=114865350087547767497; log2(q)=66.639... k = 2^2 * 15912090553 = 63648362212; log2(k)=35.889... 15912090553/66.639 = 238780452.18... M902344591 has a factor q=212270984755135026983; log2(q)=67.524... k = 43 * 479 * 1283 * 4451 = 117621907901; log2(k)=36.775... 4451/67.524 = 65.92... M902335003 has a factor q=1649936035175624388463; log2(q)=70.483... k = 3 * 3.04753E+11 = 914259133077; log2(k)=39.734... 304753044359/70.483 = 4323780831.68... M902335151 has a factor q=1691563512900394103881; log2(q)=70.519... k = 2^2 * 3 * 5 * 7^2 * 13 * 24524477 = 937325510940; log2(k)=39.77... 24524477/70.519 = 347771.2... M902335201 has a factor q=4580258314885140745087; log2(q)=71.956... k = 3 * 8.46001E+11 = 2538002678943; log2(k)=41.207... 846000892981/71.956 = 11757197356.45... |
Why was this thread renamed?
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Found a smooth one in S1
[COLOR=black]P-1 found a factor in stage #1, B1=535000.[/COLOR]
[COLOR=black]M57185879 has a factor: 252575061844706872759614361 (27 digits, 87.[SIZE=2]707 bits)[/SIZE][/COLOR] [COLOR=black]k = 2208369148655622420[/COLOR] [B]2[SUP]2[/SUP] × 3 × 5 × 13[SUP]2[/SUP] × 19 × 149 × 1621 × 4871 × 9743[/B] |
[QUOTE=flashjh;309179][COLOR=black]P-1 found a factor in stage #1, B1=535000.[/COLOR]
[COLOR=black]M57185879 has a factor: 252575061844706872759614361 (27 digits, 87.[SIZE=2]707 bits)[/SIZE][/COLOR] [COLOR=black]k = 2208369148655622420[/COLOR] [B]2[SUP]2[/SUP] × 3 × 5 × 13[SUP]2[/SUP] × 19 × 149 × 1621 × 4871 × 9743[/B][/QUOTE] Lol, what a lot of wasted CPU time :razz: |
[url]http://mersenne-aries.sili.net/exponent.php?factordetails=131857961859014427452892424807[/url]
[Fri Aug 24 07:06:46 2012] P-1 found a factor in stage #1, B1=95000. UID: firejuggler, M8381311 has a factor: 131857961859014427452892424807 (96.735 bit) k=3^2 × 11 × 132 × 157 × 653 × 8971 × 11971 × 42703 that's really strange, because a P-1 with B1=35k and B2=271250 was done before |
[QUOTE=firejuggler;309197]that's really strange, because a P-1 with B1=35k and B2=271250 was done before[/QUOTE]
B2/B1=7.75 looks odd enough. :huh: |
can we suppose that such strange ratio are in fact, only B1 done?
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M998423 has a factor: 335121480072681895178941249
k=2^5*3^2*485201*535349*2243399 Found stage 1, with P-1 bounds B1=2,500,000 b2=50,000,000. |
Operation Billion Digits
[Sat Aug 25 14:19:11 2012]
UID: aketilander/OBD, M3321932491 has a factor: 28126803354429776910329417 [TF:84:85:mfaktc 0.19 barrett92_mul32] 84.540 bits k=[COLOR=black]4233500143460588[/COLOR] (2 x [SIZE=2]2 × 7 × 11 × 13 × 17 × 128837 × 482743)[/SIZE] My first factor in the project Operation Billion Digits. This is to the best of my knowledge the largest non composite factor found for Mersenne prime exponents less then 2^32 (4294967296) [B]using ordinary trial factoring[/B], see [URL]http://www.mersenne-aries.sili.net/stats.php?showuserstats=*[/URL] |
congratz aketilander. That"s a very large one. How long did it take?
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[QUOTE=firejuggler;309286]congratz aketilander. That"s a very large one. How long did it take?[/QUOTE]
Well, I started trial factoring M3321932491[SIZE=2][FONT=Verdana] on August 12 (at 22:20 local time here) from ^82 to ^86. The expo had finished the first two bits on August 24 (15:27 local time) and started factoring from ^84 to ^85. The factor was found on August 25 at 14:19. Presently only 15.8% of the interval ^84 to ^85 is finished so the factor was found very early in this interval.[/FONT][/SIZE] To completely trial factoring this expo from ^84 to ^85 will probably take around 14 days on that card. I may have lost an hour or so upgrading from Mfaktc 0.18 to 0.19 before beginning trial factoring from ^84. I continue trial factoring M3321932491 up to ^86 as planned from the beginning. |
[QUOTE=aketilander;309283][Sat Aug 25 14:19:11 2012]
UID: aketilander/OBD, M3321932491 has a factor: 28126803354429776910329417 [TF:84:85:mfaktc 0.19 barrett92_mul32] 84.540 bits k=[COLOR=black]4233500143460588[/COLOR] (2 x [SIZE=2]2 × 7 × 11 × 13 × 17 × 128837 × 482743)[/SIZE] My first factor in the project Operation Billion Digits. This is to the best of my knowledge the largest non composite factor found for Mersenne prime exponents less then 2^32 (4294967296) [B]using ordinary trial factoring[/B], see [URL]http://www.mersenne-aries.sili.net/stats.php?showuserstats=*[/URL][/QUOTE] :bow: |
[QUOTE=Jwb52z;309172]Why was this thread renamed?[/QUOTE]
Mike's gerbils probably got lose or something. |
Found some factors by TF that P-1 and ECM missed.
M1129153 has a factor: 4059448173685700567 [TF:61:62*:mfakto 0.13pre1-Win barrett15_75] k=110917 · 16206383 1129153 No factors below 2^61 P-1 B1=100000, B2=2000000 History 1 curves, B1=50000, B2=5000000 by "Chad Davis" on 2007-10-06 History 3 curves, B1=50000, B2=5000000 by "Sturle Sunde" on 2008-05-18 History 3 curves, B1=50000, B2=5000000 by "bayanne" on 2008-12-18 History no factor from 2^60 to 2^61 by "Sturle Sunde" on 2009-02-18 History 3 curves, B1=50000, B2=5000000 by "Lukasz Wrobel" on 2009-05-30 History 3 curves, B1=50000, B2=5000000 by "Lupo" on 2009-09-06 History 3 curves, B1=50000, B2=5000000 by "Lupo" on 2009-12-23 History 3 curves, B1=50000, B2=5000000 by "Charles A. Morris" on 2010-06-14 History 3 curves, B1=50000, B2=5000000 by "unconnected" on 2011-01-30 History 3 curves, B1=50000, B2=5000000 by "Andriy Makukha" on 2011-11-01 History 3 curves, B1=50000, B2=5000000 by "Lackó" on 2012-07-13 I know that the reason p-1 missed this one is that no factors of k is less than B1 and the second factor is bigger than B2 (not B2 powersmooth). Is that the reason ECM couldn't find it either? M1143719 has a factor: 2479139950847214497 [TF:61:62*:mfakto 0.13pre1-Win barrett15_75] k=2^4 · 41 · 1652143907 1143719 No factors below 2^61 P-1 B1=500000, B2=10000000 History 1 curves, B1=50000, B2=5000000 by "James Heinrich" on 2007-10-08 History 3 curves, B1=50000, B2=5000000 by "James Heinrich" on 2008-06-05 History 3 curves, B1=50000, B2=5000000 by "Sturle Sunde" on 2008-12-29 History no factor from 2^60 to 2^61 by "Sturle Sunde" on 2009-02-15 History 3 curves, B1=50000, B2=5000000 by "Geoff Wing" on 2009-06-01 History 3 curves, B1=50000, B2=5000000 by "Geoff Wing" on 2009-09-10 History 3 curves, B1=50000, B2=5000000 by "sannerud.com" on 2009-12-31 History 3 curves, B1=50000, B2=5000000 by "Charles A. Morris" on 2010-06-23 History 3 curves, B1=50000, B2=5000000 by "greensinoz" on 2011-02-12 History 3 curves, B1=50000, B2=5000000 by "Andriy Makukha" on 2011-11-06 History B1=500000, B2=10000000 by "markr" on 2012-01-31 History 3 curves, B1=50000, B2=5000000 by "soldake" on 2012-07-16 This one I have a harder time to understand.... oh, stupid of me, the last factor is bigger than B2 for P-1, didn't see that at first. This isn't smooth compared to B2 either. I think I'm getting a grip of the p-1 method now. You learn something new every day. :smile: But I can't see a reason to why ECM didn't find the factors. Is that just bad luck or does the composition of the factor have something to do with it? I'm trying to understand how the different factorisation algorithms works or when it fails. /Göran |
This may be the first time when I like (and laugh to) a title change...
(just for posterity, original title "found a factor? say it!", current title "found a factor? say it backwards... fast", hehe, this was inspired!) |
Largest k ?
Sorry, I posted my question in the wrong thread. My intention was to post it in this thread where possibly more will read it. Sorry for the inconvenience.
[QUOTE=aketilander;309283][Sat Aug 25 14:19:11 2012] UID: aketilander/OBD, M3321932491 has a factor: 28126803354429776910329417 [TF:84:85:mfaktc 0.19 barrett92_mul32] 84.540 bits k=[COLOR=black]4233500143460588[/COLOR] (2 x [SIZE=2]2 × 7 × 11 × 13 × 17 × 128837 × 482743)[/SIZE] My first factor in the project Operation Billion Digits. This is to the best of my knowledge the largest non composite factor found for Mersenne prime exponents less then 2^32 (4294967296) [B]using ordinary trial factoring[/B], see [URL]http://www.mersenne-aries.sili.net/stats.php?showuserstats=*[/URL][/QUOTE] None seems to oppose the claim that "This is to the best of my knowledge the largest non composite factor found for Mersenne prime exponents less then 2^32 (4294967296) [B]using ordinary trial factoring"[/B] On Will Edgingtons list there are a few larger factors for very [I]very[/I] large Mersenne prime exponent numbers with small k:s, so my question is: Is the factor (of Mersenne prime exponent numbers) I found the factor found [B]using ordinary trial factoring[/B] with the largest [B]k[/B]? (k=[COLOR=black]4233500143460588). It would be nice to know if it is so or not.[/COLOR] |
[QUOTE=Axelsson;309489]Is that the reason ECM couldn't find it either?
<snip> But I can't see a reason to why ECM didn't find the factors. Is that just bad luck or does the composition of the factor have something to do with it? [/QUOTE] ECM doesn't take advantage of the "composition of the factor", as you put it. It is a probabilistic algorithm that depends on the size of the factor to be found and the bounds used. Sometimes you find them on your first curve, and sometimes on the millionth. C'est la vie. |
[QUOTE=aketilander;309497]Is the factor (of Mersenne prime exponent numbers) I found the factor found [B]using ordinary trial factoring[/B] with the largest [B]k[/B]? (k=[COLOR=black]4233500143460588). It would be nice to know if it is so or not.[/COLOR][/QUOTE]
Well in the 10,000,000 region it must be found above ^76 And in the 50,000,000 region it must be found above ^78 And in the 332,190,000 region it must be found above ^81 |
M902326099 has a factor q=4289111289480658787353; log2(q)=71.861...
k = 2^2 * 3^3 * 4363 * 5043881 = 2376696902724; log2(k)=41.112... 5043881/71.861 = 70189.41... M902326157 has a factor q=1828584835204776493769; log2(q)=70.631... k = 2^2 * 7 * 11 * 383 * 8589583 = 1013261569012; log2(k)=39.882... 8589583/70.631 = 121612.08... M902326927 has a factor q=1564980648610469913943; log2(q)=70.407... k = 3 * 7 * 22067 * 1871339 = 867191591973; log2(k)=39.658... 1871339/70.407 = 26578.88... M902327333 has a factor q=1310377264225374352417; log2(q)=70.15... k = 2^4 * 3 * 15127285487 = 726109703376; log2(k)=39.401... 15127285487/70.15 = 215641988.41... M902327561 has a factor q=2755552028850444215471; log2(q)=71.223... k = 5 * 13 * 109 * 215513531 = 1526913367135; log2(k)=40.474... 215513531/71.223 = 3025897.97... M902327821 has a factor q=122878013604208845481; log2(q)=66.736... k = 2^2 * 3^2 * 5 * 41 * 9226213 = 68089451940; log2(k)=35.987... 9226213/66.736 = 138249.42... M902328491 has a factor q=326220721690685121697; log2(q)=68.144... k = 2^4 * 3 * 11 * 13217 * 25903 = 180766054128; log2(k)=37.395... 25903/68.144 = 380.12... M902329093 has a factor q=494342952496957182863; log2(q)=68.744... k = 19 * 641 * 787 * 28579 = 273926085467; log2(k)=37.995... 28579/68.744 = 415.73... M902329277 has a factor q=357419180923009101521; log2(q)=68.276... k = 2^3 * 5 * 13 * 17 * 827 * 27091 = 198053631880; log2(k)=37.527... 27091/68.276 = 396.79... M902329433 has a factor q=87821790763629874927; log2(q)=66.251... k = 3 * 13 * 43 * 29018443 = 48663928911; log2(k)=35.502... 29018443/66.251 = 438007.62... M902329919 has a factor q=41539158212019957871; log2(q)=65.171... k = 3 * 5 * 263 * 5834657 = 23017721865; log2(k)=34.422... 5834657/65.171 = 89528.43... M902330153 has a factor q=146826243592006749697; log2(q)=66.993... k = 2^8 * 3^2 * 19 * 1858541 = 81359490816; log2(k)=36.244... 1858541/66.993 = 27742.32... M902351057 has a factor q=4186824829391096247911; log2(q)=71.826... k = 5 * 4.63991E+11 = 2319953413315; log2(k)=41.077... 463990682663/71.826 = 6459926526.09... M902351189 has a factor q=256170582655028761007; log2(q)=67.796... k = 7^2 * 18269 * 158567 = 141946165627; log2(k)=37.047... 158567/67.796 = 2338.88... M902351239 has a factor q=39707391857052682337; log2(q)=65.106... k = 2^4 * 7 * 53 * 1013 * 3659 = 22002181712; log2(k)=34.357... 3659/65.106 = 56.2... M902345089 has a factor q=4009929163200837078857; log2(q)=71.764... k = 2^2 * 5.55487E+11 = 2221948793252; log2(k)=41.015... 555487198313/71.764 = 7740471522.11... M902345209 has a factor q=1428356517157700748823; log2(q)=70.275... k = 3 * 23 * 149 * 76983659 = 791468998179; log2(k)=39.526... 76983659/70.275 = 1095462.95... M902345579 has a factor q=1691796002901619101481; log2(q)=70.519... k = 2^2 * 3^3 * 5 * 7 * 23 * 10782649 = 937443504060; log2(k)=39.77... 10782649/70.519 = 152904.17... M902336329 has a factor q=1337349006426462641177; log2(q)=70.18... k = 2^2 * 1.85262E+11 = 741047968172; log2(k)=39.431... 185261992043/70.18 = 2639811798.85... M902336951 has a factor q=205023061207420701809; log2(q)=67.474... k = 2^3 * 14200838513 = 113606708104; log2(k)=36.725... 14200838513/67.474 = 210463860.35... M902346377 has a factor q=214960221828680395367; log2(q)=67.543... k = 13 * 15679 * 584377 = 119111810779; log2(k)=36.794... 584377/67.543 = 8651.93... M902346469 has a factor q=260183405924735158399; log2(q)=67.818... k = 3 * 13 * 131 * 28218919 = 144170457171; log2(k)=37.069... 28218919/67.818 = 416097.78... M902346793 has a factor q=921539453863412692663; log2(q)=69.643... k = 3 * 1.70212E+11 = 510634858467; log2(k)=38.894... 170211619489/69.643 = 2444059266.39... M902337077 has a factor q=233034200099006219807; log2(q)=67.659... k = 47 * 2747407037 = 129128130739; log2(k)=36.91... 2747407037/67.659 = 40606675.19... M902337197 has a factor q=41800029853842355729; log2(q)=65.18... k = 2^3 * 3 * 965087063 = 23162089512; log2(k)=34.431... 965087063/65.18 = 14806490.69... M902337391 has a factor q=281413706365588876039; log2(q)=67.931... k = 3^4 * 331 * 1103 * 5273 = 155935966509; log2(k)=37.182... 5273/67.931 = 77.62... M902337959 has a factor q=1726987110442740172193; log2(q)=70.549... k = 2^4 * 8699 * 6875441 = 956951380144; log2(k)=39.8... 6875441/70.549 = 97456.25... M902338123 has a factor q=647736436704420431761; log2(q)=69.134... k = 2^3 * 3 * 5 * 7 * 107 * 163 * 24499 = 358921129560; log2(k)=38.385... 24499/69.134 = 354.37... M902338259 has a factor q=157366763740078270361; log2(q)=67.093... k = 2^2 * 5 * 73 * 59725637 = 87199430020; log2(k)=36.344... 59725637/67.093 = 890191.78... M902338819 has a factor q=4165658460450735161857; log2(q)=71.819... k = 2^8 * 3 * 3005542009 = 2308256262912; log2(k)=41.07... 3005542009/71.819 = 41848842.35... M902338999 has a factor q=791860245098677979647; log2(q)=69.424... k = 3 * 53 * 61 * 179 * 252737 = 438782013177; log2(k)=38.675... 252737/69.424 = 3640.48... M902347333 has a factor q=4240464968575516703801; log2(q)=71.845... k = 2^2 * 5^2 * 23496855443 = 2349685544300; log2(k)=41.096... 23496855443/71.845 = 327049278.91... M902347583 has a factor q=47443490561032761961; log2(q)=65.363... k = 2^2 * 3^3 * 5 * 17 * 73 * 39229 = 26288922060; log2(k)=34.614... 39229/65.363 = 600.17... M902348087 has a factor q=46651978812638230513; log2(q)=65.339... k = 2^3 * 3 * 13 * 82853599 = 25850322888; log2(k)=34.589... 82853599/65.339 = 1268057.35... M902348099 has a factor q=678889858181051218769; log2(q)=69.202... k = 2^3 * 11 * 4274767957 = 376179580216; log2(k)=38.453... 4274767957/69.202 = 61772318.1... M902348179 has a factor q=206429881543762657903; log2(q)=67.484... k = 3 * 11 * 2237 * 1549489 = 114384827469; log2(k)=36.735... 1549489/67.484 = 22960.84... M902348339 has a factor q=608586152759460261713; log2(q)=69.044... k = 2^3 * 23 * 787 * 2328763 = 337223512504; log2(k)=38.295... 2328763/69.044 = 33728.68... M902348633 has a factor q=461211119136056729969; log2(q)=68.644... k = 2^3 * 11 * 29 * 100141649 = 255561488248; log2(k)=37.895... 100141649/68.644 = 1458855.09... M902348791 has a factor q=767009122054660161823; log2(q)=69.378... k = 3 * 17^3 * 28835539 = 425007009321; log2(k)=38.629... 28835539/69.378 = 415629.44... M902348987 has a factor q=3150769383238192869151; log2(q)=71.416... k = 3^4 * 5^2 * 1301 * 662689 = 1745870737725; log2(k)=40.667... 662689/71.416 = 9279.28... M902349157 has a factor q=259116163894064160247; log2(q)=67.812... k = 3 * 23 * 2080850131 = 143578659039; log2(k)=37.063... 2080850131/67.812 = 30685573.81... M902349187 has a factor q=51681045791274590143; log2(q)=65.486... k = 3^2 * 1013 * 3141049 = 28636943733; log2(k)=34.737... 3141049/65.486 = 47965.2... M902351311 has a factor q=1388034889194470181121; log2(q)=70.234... k = 2^7 * 3^2 * 5 * 383 * 348637 = 769121112960; log2(k)=39.484... 348637/70.234 = 4963.93... M902351563 has a factor q=144981874840099284503; log2(q)=66.974... k = 31 * 571 * 4538477 = 80335581377; log2(k)=36.225... 4538477/66.974 = 67764.76... M902351771 has a factor q=40983502865689454071; log2(q)=65.152... k = 3 * 5 * 7 * 11 * 13 * 17 * 43 * 2069 = 22709271585; log2(k)=34.403... 2069/65.152 = 31.76... M902351941 has a factor q=686146823249130057361; log2(q)=69.217... k = 2^3 * 3 * 5 * 7 * 13^2 * 113 * 137 * [b]173[/b] = 380199117480; log2(k)=38.468... 173/69.217 = [b]2.5[/b]... M902352109 has a factor q=103690058988531196151; log2(q)=66.491... k = 5^2 * 23 * 71 * 283 * 4973 = 57455431175; log2(k)=35.742... 4973/66.491 = 74.79... M902352359 has a factor q=491561012856391640599; log2(q)=68.736... k = 3 * 29 * 3130776203 = 272377529661; log2(k)=37.987... 3130776203/68.736 = 45547838.15... |
My first P-1 factor!
P-1 found a factor in stage #1, B1=1000000.
M[URL="http://www.mersenne.org/report_exponent/?exp_lo=7850839&exp_hi=10000&B1=Get+status"]7850839[/URL] has a factor: 1425818927179395048889 (70.2723 bits) [URL="http://mersenne-aries.sili.net/exponent.php?exponentdetails=7850839"]k[/URL] = 90806786840196 = 2*2*3*3*7*73*69767*70753 This is my first factor found using P-1! |
gratz! May many more come to you!
|
[QUOTE=dabaichi;309631]This is my first factor found using P-1![/QUOTE]
Congratulation! Yes, sometimes you do this work for a long, long time and you think that you will never find a factor or you think you are doing something wrong. I know the feeling when you finally find one! |
M902339743 has a factor q=1563016932255738899449; log2(q)=70.405...
k = 2^2 * 3^2 * 71 * 131 * 1381 * 1873 = 866091150468; log2(k)=39.656... 1873/70.405 = 26.6... M902340181 has a factor q=2209671504475295551711; log2(q)=70.904... k = 3 * 5 * 13711 * 5953427 = 1224411563955; log2(k)=40.155... 5953427/70.904 = 83964.61... M902365733 has a factor q=1516342732497591982889; log2(q)=70.361... k = 2^2 * 1847 * 113725511 = 840204075268; log2(k)=39.612... 113725511/70.361 = 1616314.59... M902366263 has a factor q=3175662986546161712017; log2(q)=71.428... k = 2^3 * 3 * 13 * 1549 * 1699 * 2143 = 1759630826616; log2(k)=40.678... 2143/71.428 = 30... M902367223 has a factor q=60070405778233533521; log2(q)=65.703... k = 2^3 * 5 * 832122503 = 33284900120; log2(k)=34.954... 832122503/65.703 = 12664908.8... M902367887 has a factor q=4311101494282981366439; log2(q)=71.869... k = 7523 * 317529119 = 2388771562237; log2(k)=41.119... 317529119/71.869 = 4418165.26... M902368067 has a factor q=368025214304398453897; log2(q)=68.318... k = 2^2 * 3 * 797 * 21321821 = 203921896044; log2(k)=37.569... 21321821/68.318 = 312096.68... M902368319 has a factor q=1295058496989240590639; log2(q)=70.134... k = 80657 * 8896793 = 717588633001; log2(k)=39.384... 8896793/70.134 = 126854.21... M902368711 has a factor q=79584620164149338023; log2(q)=66.109... k = 3 * 239 * 61502953 = 44097617301; log2(k)=35.36... 61502953/66.109 = 930326.48... M902368927 has a factor q=1272199788688798742911; log2(q)=70.108... k = 3 * 5 * 8669 * 5421019 = 704922205665; log2(k)=39.359... 5421019/70.108 = 77323.83... M902350727 has a factor q=352355303612242776217; log2(q)=68.256... k = 2^2 * 3 * 7 * 19 * 23 * 5318813 = 195242987604; log2(k)=37.506... 5318813/68.256 = 77924.48... M902380543 has a factor q=52786025707953809239; log2(q)=65.517... k = 3 * 11 * 23 * 53 * 727079 = 29248206933; log2(k)=34.768... 727079/65.517 = 11097.56... M902380669 has a factor q=65584545922275845327; log2(q)=65.83... k = 67 * 542384081 = 36339733427; log2(k)=35.081... 542384081/65.83 = 8239162.71... M902381209 has a factor q=2137944856524853530881; log2(q)=70.857... k = 2^7 * 5 * 11 * 41 * 373 * 11003 = 1184612908160; log2(k)=40.108... 11003/70.857 = 155.28... M902381537 has a factor q=339594226402613245487; log2(q)=68.202... [b]k = 188165544439 prime[/b]; log2(k)=37.453... 188165544439/68.202 = 2758944670.82... M902381569 has a factor q=3952086541581337256479; log2(q)=71.743... k = 3 * 151 * 6569 * 735883 = 2189808988431; log2(k)=40.994... 735883/71.743 = 10257.21... M902381653 has a factor q=100213282153690518167; log2(q)=66.442... k = 3137 * 4127 * 4289 = 55527105311; log2(k)=35.692... 4289/66.442 = 64.55... M902381749 has a factor q=130782084227622233761; log2(q)=66.826... k = 2^4 * 3 * 5 * 307 * 853 * 1153 = 72464943120; log2(k)=36.077... 1153/66.826 = 17.25... M902382749 has a factor q=156893710447772727193; log2(q)=67.088... k = 2^2 * 3^2 * 31 * 863 * 90263 = 86933017404; log2(k)=36.339... 90263/67.088 = 1345.44... M902382959 has a factor q=190637371710071524097; log2(q)=67.369... k = 2^7 * 953 * 865933 = 105629971072; log2(k)=36.62... 865933/67.369 = 12853.58... M902383231 has a factor q=1336049692892141870729; log2(q)=70.178... k = 2^2 * 41 * 4513960471 = 740289517244; log2(k)=39.429... 4513960471/70.178 = 64321588.97... M902383369 has a factor q=183210185071734357319; log2(q)=67.312... k = 3 * 269 * 125792573 = 101514606411; log2(k)=36.563... 125792573/67.312 = 1868798.62... M902352827 has a factor q=1273491172358561763311; log2(q)=70.109... k = 5 * 11 * 53 * 5393 * 44887 = 705650347765; log2(k)=39.36... 44887/70.109 = 640.25... M902353061 has a factor q=4623170434267961200769; log2(q)=71.969... k = 2^6 * 11 * 13 * 279909347 = 2561730343744; log2(k)=41.22... 279909347/71.969 = 3889304.38... M902353787 has a factor q=2285788054399066206697; log2(q)=70.953... k = 2^2 * 3 * 7 * 15078211531 = 1266569768604; log2(k)=40.204... 15078211531/70.953 = 212509852.03... M902353951 has a factor q=95933889281234048039; log2(q)=66.379... [b]k = 53157571469 prime[/b]; log2(k)=35.63... 53157571469/66.379 = 800819106.48... M902354267 has a factor q=141524579090906528263; log2(q)=66.94... k = 3 * 17 * 1537639843 = 78419631993; log2(k)=36.19... 1537639843/66.94 = 22970418.93... M902354311 has a factor q=122872369642721523353; log2(q)=66.736... k = 2^2 * 11 * 19 * 43 * 1893967 = 68084325716; log2(k)=35.987... 1893967/66.736 = 28379.99... M902354701 has a factor q=2324619805175238564919; log2(q)=70.977... k = 3^3 * 47706866117 = 1288085385159; log2(k)=40.228... 47706866117/70.977 = 672145429.04... |
[QUOTE=aketilander;309645]Congratulation! Yes, sometimes you do this work for a long, long time and you think that you will never find a factor or you think you are doing something wrong. I know the feeling when you finally find one![/QUOTE]
Thank you firejuggler and aketilander! |
M902355073 has a factor q=152999789478383333071; log2(q)=67.052...
k = 3^2 * 5 * 13 * 67 * 457 * 4733 = 84778040295; log2(k)=36.303... 4733/67.052 = 70.59... M902355089 has a factor q=137471721410682963169; log2(q)=66.898... k = 2^4 * 3 * 29 * 37 * 467 * 3167 = 76173849456; log2(k)=36.149... 3167/66.898 = 47.34... M902356921 has a factor q=324464834814780550729; log2(q)=68.137... k = 2^2 * 3 * 14982284507 = 179787414084; log2(k)=37.388... 14982284507/68.137 = 219884710.32... M902357347 has a factor q=61405385353866164353; log2(q)=65.735... k = 2^6 * 3 * 7^2 * 43 * 151 * 557 = 34024982208; log2(k)=34.986... 557/65.735 = 8.47... M902358073 has a factor q=187326681218705934281; log2(q)=67.344... k = 2^2 * 5 * 1381 * 3758089 = 103798418180; log2(k)=36.595... 3758089/67.344 = 55804.36... M902358157 has a factor q=2364253274081963312519; log2(q)=71.002... k = 107 * 12243378541 = 1310041503887; log2(k)=40.253... 12243378541/71.002 = 172437093.9... M902358227 has a factor q=627075296328986202497; log2(q)=69.087... k = 2^6 * 283 * 19184227 = 347464719424; log2(k)=38.338... 19184227/69.087 = 277682.15... M902383921 has a factor q=415861384645082410961; log2(q)=68.495... k = 2^3 * 5 * 5760593897 = 230423755880; log2(k)=37.745... 5760593897/68.495 = 84102400.13... M902384107 has a factor q=4368235801502132572561; log2(q)=71.888... k = 2^3 * 3 * 5 * 20169883717 = 2420386046040; log2(k)=41.138... 20169883717/71.888 = 280573721.86... M902384251 has a factor q=617005314014346421807; log2(q)=69.064... k = 3 * 431 * 264404521 = 341875045653; log2(k)=38.315... 264404521/69.064 = 3828398.6... M902384389 has a factor q=506227028167244328641; log2(q)=68.778... k = 2^5 * 5 * 131 * 13382353 = 280494118880; log2(k)=38.029... 13382353/68.778 = 194573.16... M902384489 has a factor q=3713386099208948370671; log2(q)=71.653... k = 5 * 7 * 11 * 17 * 97 * 3240911 = 2057540962015; log2(k)=40.904... 3240911/71.653 = 45230.64... M902384597 has a factor q=4461595678312787923169; log2(q)=71.918... k = 2^4 * 13^2 * 691 * 1323073 = 2472114269872; log2(k)=41.169... 1323073/71.918 = 18396.97... M902384779 has a factor q=3120057281581477925111; log2(q)=71.402... k = 5 * 47 * 9431 * 780037 = 1728784302545; log2(k)=40.653... 780037/71.402 = 10924.58... M902384929 has a factor q=1018721400819497586721; log2(q)=69.787... k = 2^4 * 3^2 * 5 * 599 * 1308803 = 564460557840; log2(k)=39.038... 1308803/69.787 = 18754.25... M902385061 has a factor q=4618616318710025286521; log2(q)=71.968... k = 2^2 * 5 * 23 * 33647 * 165343 = 2559116123660; log2(k)=41.219... 165343/71.968 = 2297.45... M902385457 has a factor q=468215806783143993881; log2(q)=68.666... k = 2^2 * 5 * 823 * 15761377 = 259432265420; log2(k)=37.917... 15761377/68.666 = 229536.85... M902385937 has a factor q=1255139414700911160719; log2(q)=70.088... k = 11 * 28513 * 2217349 = 695455992407; log2(k)=39.339... 2217349/70.088 = 31636.64... M902386913 has a factor q=355262042204653683079; log2(q)=68.267... k = 3^2 * 7 * 83 * 37645007 = 196845741603; log2(k)=37.518... 37645007/68.267 = 551437.84... M902387323 has a factor q=101720240007967687207; log2(q)=66.463... k = 3 * 18787246787 = 56361740361; log2(k)=35.714... 18787246787/66.463 = 282672265.58... M902387977 has a factor q=1595549743071297041519; log2(q)=70.435... k = 7 * 71 * 1778814511 = 884070811967; log2(k)=39.685... 1778814511/70.435 = 25254695.98... M902388427 has a factor q=58057736363775669967; log2(q)=65.654... k = 3 * 41729 * 256967 = 32168927829; log2(k)=34.905... 256967/65.654 = 3913.96... M902388863 has a factor q=312593518044889630321; log2(q)=68.083... k = 2^3 * 3 * 5 * 2621 * 550691 = 173203333320; log2(k)=37.334... 550691/68.083 = 8088.52... M902389151 has a factor q=2418831686693208937223; log2(q)=71.035... k = 3359 * 398998979 = 1340237570461; log2(k)=40.286... 398998979/71.035 = 5616935.02... M902389403 has a factor q=800488555087337135449; log2(q)=69.439... k = 2^2 * 3 * 11 * 13 * 258472213 = 443538317508; log2(k)=38.69... 258472213/69.439 = 3722291.69... M902389771 has a factor q=105991792951588278289; log2(q)=66.523... k = 2^3 * 3 * 23 * 41 * 907 * 2861 = 58728387864; log2(k)=35.773... 2861/66.523 = 43.01... M902389847 has a factor q=158162794776039267337; log2(q)=67.1... k = 2^2 * 3 * 421 * 17346697 = 87635513244; log2(k)=36.351... 17346697/67.1 = 258520.07... M902390101 has a factor q=99406938155914325191; log2(q)=66.43... k = 3 * 5 * 19 * 29 * 6664223 = 55079803095; log2(k)=35.681... 6664223/66.43 = 100319.48... M902390117 has a factor q=1780340417263434096913; log2(q)=70.593... k = 2^3 * 3 * 131 * 3089 * 101573 = 986458286568; log2(k)=39.843... 101573/70.593 = 1438.85... M902390227 has a factor q=350146134124253735017; log2(q)=68.247... k = 2^2 * 3 * 7 * 61 * 37863071 = 194010375804; log2(k)=37.497... 37863071/68.247 = 554794.66... M902390327 has a factor q=73432298153936442359; log2(q)=65.993... k = 11^2 * 2003 * 167879 = 40687658077; log2(k)=35.244... 167879/65.993 = 2543.89... M902390677 has a factor q=93522153364198949167; log2(q)=66.342... k = 3 * 7 * 2467576399 = 51819104379; log2(k)=35.593... 2467576399/66.342 = 37194784.59... M902369267 has a factor q=50045503414132108769; log2(q)=65.44... k = 2^4 * 17 * 67 * 1521623 = 27730057552; log2(k)=34.691... 1521623/65.44 = 23252.19... M902369803 has a factor q=1000700915135253374239; log2(q)=69.762... k = 3 * 7 * 307 * 8377 * 10267 = 554484930573; log2(k)=39.012... 10267/69.762 = 147.17... M902370283 has a factor q=726525129389871137441; log2(q)=69.3... k = 2^4 * 5 * 2663 * 1889621 = 402564857840; log2(k)=38.55... 1889621/69.3 = 27267.26... M902370323 has a factor q=1863067147437568071887; log2(q)=70.658... k = 31 * 33300596611 = 1032318494941; log2(k)=39.909... 33300596611/70.658 = 471292657.75... M902370797 has a factor q=2015788591414902347273; log2(q)=70.772... k = 2^2 * 81667 * 3419191 = 1116940285588; log2(k)=40.023... 3419191/70.772 = 48312.76... M902371451 has a factor q=2636421482621132256767; log2(q)=71.159... k = 8389 * 174136297 = 1460829395533; log2(k)=40.41... 174136297/71.159 = 2447143.68... M902371991 has a factor q=150734496445240093223; log2(q)=67.031... k = 181 * 461443441 = 83521262821; log2(k)=36.281... 461443441/67.031 = 6884030.39... M902372123 has a factor q=1742933690738588937191; log2(q)=70.562... k = 5 * 7 * 23 * 269 * 4459817 = 965751072265; log2(k)=39.813... 4459817/70.562 = 63204.23... M902373097 has a factor q=177355453892516588137; log2(q)=67.265... k = 2^2 * 3 * 7 * 19 * 163 * 503 * 751 = 98271687444; log2(k)=36.516... 751/67.265 = 11.16... M902373371 has a factor q=1789805281326685116313; log2(q)=70.6... k = 2^2 * 3 * 7 * 13 * 908169433 = 991721020836; log2(k)=39.851... 908169433/70.6 = 12863589.7... M902373377 has a factor q=59678408257556977033; log2(q)=65.694... k = 2^2 * 3 * 19 * 145032761 = 33067469508; log2(k)=34.945... 145032761/65.694 = 2207701.78... M902373401 has a factor q=2299468611890316794783; log2(q)=70.962... k = 41 * 97 * 320372783 = 1274122557991; log2(k)=40.213... 320372783/70.962 = 4514709.04... M902373431 has a factor q=95687383807011611129; log2(q)=66.375... k = 2^2 * 107 * 401 * 308923 = 53019836644; log2(k)=35.626... 308923/66.375 = 4654.21... M902373721 has a factor q=338769393731919680833; log2(q)=68.199... k = 2^5 * 3^2 * 29 * 37^2 * 16417 = 187710139296; log2(k)=37.45... 16417/68.199 = 240.72... M902373851 has a factor q=94060652892763620127; log2(q)=66.35... k = 3 * 7^2 * 31 * 1489 * 7681 = 52118450013; log2(k)=35.601... 7681/66.35 = 115.76... M902374007 has a factor q=418920580187969389711; log2(q)=68.505... k = 3 * 5 * 367 * 42165553 = 232121369265; log2(k)=37.756... 42165553/68.505 = 615510.59... M902374169 has a factor q=1219709431477666017881; log2(q)=70.047... k = 2^2 * 5 * 19 * 31 * 479 * 119773 = 675833525260; log2(k)=39.298... 119773/70.047 = 1709.89... M902374397 has a factor q=238632715463848519577; log2(q)=67.693... k = 2^2 * 7^2 * 18743 * 35993 = 132224892604; log2(k)=36.944... 35993/67.693 = 531.71... M902374531 has a factor q=2780393487251581427081; log2(q)=71.236... k = 2^2 * 5 * 43 * 101 * 167 * 106207 = 1540598383340; log2(k)=40.487... 106207/71.236 = 1490.92... M902374633 has a factor q=176697204212557431841; log2(q)=67.26... k = 2^4 * 3 * 5 * 23 * 73 * 229 * 1061 = 97906788240; log2(k)=36.511... 1061/67.26 = 15.77... M902374727 has a factor q=443838074482635657553; log2(q)=68.589... k = 2^3 * 3^2 * 7 * 13 * 31 * 1210799 = 245927806488; log2(k)=37.839... 1210799/68.589 = 17652.96... |
P-1 found a factor in stage #1, B1=525000.
UID: Jwb52z/Clay, M57384781 has a factor: 62079336409658185024663409 85.682 bits |
M902375641 has a factor q=7739624613054981743729; log2(q)=72.713...
k = 2^3 * 367 * 857 * 1704377 = 4288471597304; log2(k)=41.964... 1704377/72.713 = 23439.78... M902376019 has a factor q=69239247343989807943; log2(q)=65.908... k = 3^2 * 11 * 13 * 479 * 62233 = 38364964209; log2(k)=35.159... 62233/65.908 = 944.24... M902376539 has a factor q=453447564511859662721; log2(q)=68.619... k = 2^6 * 5 * 173 * 4538509 = 251251858240; log2(k)=37.87... 4538509/68.619 = 66140.7... M902376743 has a factor q=1326768043556506873337; log2(q)=70.168... k = 2^2 * 7 * 26255426767 = 735151949476; log2(k)=39.419... 26255426767/70.168 = 374179494.46... M902376851 has a factor q=9284130009575841235649; log2(q)=72.975... k = 2^5 * 7^2 * 3280780793 = 5144264283424; log2(k)=42.226... 3280780793/72.975 = 44957599.08... M902377997 has a factor q=430310865350061879751; log2(q)=68.544... k = 3^3 * 5^3 * 7 * 10092343 = 238431603375; log2(k)=37.795... 10092343/68.544 = 147238.9... M902378431 has a factor q=1858299574860261088889; log2(q)=70.654... k = 2^2 * 29 * 8876444389 = 1029667549124; log2(k)=39.905... 8876444389/70.654 = 125632581.16... M902358967 has a factor q=1454961774847853230447; log2(q)=70.301... k = 3 * 887 * 302968429 = 806198989569; log2(k)=39.552... 302968429/70.301 = 4309589.18... M902359027 has a factor q=451169759648616629441; log2(q)=68.612... k = 2^5 * 5 * 1562466221 = 249994595360; log2(k)=37.863... 1562466221/68.612 = 22772492... M902359103 has a factor q=2701140371410273288127; log2(q)=71.194... k = 23 * 65074361927 = 1496710324321; log2(k)=40.445... 65074361927/71.194 = 914042783.48... M902359379 has a factor q=602049815663561914001; log2(q)=69.028... k = 2^3 * 5^3 * 11 * 113 * 349 * 769 = 333597583000; log2(k)=38.279... 769/69.028 = 11.14... M902359751 has a factor q=82785822008087177191; log2(q)=66.166... k = 3^2 * 5 * 859 * 1186699 = 45871849845; log2(k)=35.417... 1186699/66.166 = 17935.18... M902359987 has a factor q=4012684115629007888831; log2(q)=71.765... k = 5 * 19 * 23404617211 = 2223438635045; log2(k)=41.016... 23404617211/71.765 = 326128575.36... M902360399 has a factor q=42681993523470879841; log2(q)=65.21... k = 2^4 * 3^4 * 5 * 79 * 46199 = 23650192080; log2(k)=34.461... 46199/65.21 = 708.46... M902361787 has a factor q=321316992041646832057; log2(q)=68.123... k = 2^2 * 3^2 * 7 * 2713 * 260419 = 178042220244; log2(k)=37.373... 260419/68.123 = 3822.78... M902361827 has a factor q=3458379840852104821057; log2(q)=71.551... k = 2^5 * 3 * 19961388509 = 1916293296864; log2(k)=40.801... 19961388509/71.551 = 278981265.24... |
M902378549 has a factor q=42401726773730851489; log2(q)=65.201...
k = 2^4 * 3 * 13 * 167 * 225457 = 23494423056; log2(k)=34.452... 225457/65.201 = 3457.88... M902378933 has a factor q=147070240782828357473; log2(q)=66.995... k = 2^4 * 67^2 * 1134583 = 81490289392; log2(k)=36.246... 1134583/66.995 = 16935.34... M902378957 has a factor q=228771908822409208127; log2(q)=67.632... k = 13 * 38039 * 256337 = 126760440859; log2(k)=36.883... 256337/67.632 = 3790.17... M902379971 has a factor q=107805376539495303863; log2(q)=66.547... k = 827 * 72229643 = 59733914761; log2(k)=35.798... 72229643/66.547 = 1085392.93... M902380049 has a factor q=141404797628763528071; log2(q)=66.938... k = 5 * 19 * 79 * 251 * 41593 = 78351021715; log2(k)=36.189... 41593/66.938 = 621.37... M902390893 has a factor q=130986226596961149863; log2(q)=66.828... k = 7 * 43 * 241120667 = 72577320767; log2(k)=36.079... 241120667/66.828 = 3608078.46... M902391319 has a factor q=123428255439727841023; log2(q)=66.742... k = 3^3 * 7 * 167 * 2166763 = 68389540569; log2(k)=35.993... 2166763/66.742 = 32464.76... M902391437 has a factor q=537096834349952516791; log2(q)=68.864... k = 3 * 5 * 43 * 191 * 2415653 = 297596371335; log2(k)=38.115... 2415653/68.864 = 35078.6... M902391571 has a factor q=173230046961790416599; log2(q)=67.231... k = 7 * 11 * 13 * 95887969 = 95983856969; log2(k)=36.482... 95887969/67.231 = 1426246.36... M902392399 has a factor q=1201009988655203700097; log2(q)=70.025... k = 2^6 * 3^2 * 337 * 739 * 4639 = 665458834752; log2(k)=39.276... 4639/70.025 = 66.25... M902392409 has a factor q=1458669125971973130191; log2(q)=70.305... k = 5 * 61 * 2649912431 = 808223291455; log2(k)=39.556... 2649912431/70.305 = 37691663.91... M902393153 has a factor q=586080596404577028679; log2(q)=68.99... k = 3 * 7^2 * 11 * 257 * 781427 = 324736836963; log2(k)=38.24... 781427/68.99 = 11326.67... M902393623 has a factor q=43117620941037667537; log2(q)=65.225... k = 2^3 * 3^2 * 331815203 = 23890694616; log2(k)=34.476... 331815203/65.225 = 5087239.6... M902394371 has a factor q=459068389784345897449; log2(q)=68.637... k = 2^2 * 3 * 17 * 151 * 263 * 31397 = 254361288444; log2(k)=37.888... 31397/68.637 = 457.44... M902394529 has a factor q=971676657425780346577; log2(q)=69.719... k = 2^3 * 3 * 61 * 257 * 1430939 = 538387936872; log2(k)=38.97... 1430939/69.719 = 20524.38... M902395129 has a factor q=125853248078208898441; log2(q)=66.77... k = 2^2 * 3 * 5 * 1162214903 = 69732894180; log2(k)=36.021... 1162214903/66.77 = 17406243.87... M902363453 has a factor q=2502048441766166228041; log2(q)=71.084... k = 2^2 * 3 * 5 * 7 * 367 * 1033 * 8707 = 1386386180340; log2(k)=40.334... 8707/71.084 = 122.49... M902364217 has a factor q=162208760092238275631; log2(q)=67.136... k = 5 * 1693 * 3019 * 3517 = 89879871695; log2(k)=36.387... 3517/67.136 = 52.39... M902364311 has a factor q=193379935498688009959; log2(q)=67.39... k = 3 * 35717269463 = 107151808389; log2(k)=36.641... 35717269463/67.39 = 530008450.26... M902364599 has a factor q=754876169415019511143; log2(q)=69.355... k = 3 * 17 * 37 * 2341 * 94687 = 418276697829; log2(k)=38.606... 94687/69.355 = 1365.25... M902364731 has a factor q=85130163222367085561; log2(q)=66.206... k = 2^2 * 5 * 317 * 751 * 9907 = 47170595380; log2(k)=35.457... 9907/66.206 = 149.64... M902365091 has a factor q=2842647034362478970969; log2(q)=71.268... k = 2^2 * 11^2 * 8263 * 393847 = 1575109156324; log2(k)=40.519... 393847/71.268 = 5526.28... M902365103 has a factor q=1077209072496700110551; log2(q)=69.868... k = 5^2 * 11 * 23 * 94368529 = 596880945925; log2(k)=39.119... 94368529/69.868 = 1350668.82... M902365553 has a factor q=106657353158172093553; log2(q)=66.532... k = 2^3 * 3 * 11 * 43 * 79 * 65899 = 59098750392; log2(k)=35.782... 65899/66.532 = 990.49... |
Pardon my ignorance on the subject, but is this thread for reporting [I]a[/I] factor (say, your first factor, or the first factor after a long drought, or a specifically large factor, or maybe k is prime) or [I]every[/I] factor? If [I]every[/I] factor, then who needs GIMPS?
Just asking! Do carry on click'n'pasting factors for exponents under 999,999,999 which are all obviously in the database. Mike will buy some more disks. |
my intent when i made this thread was [I]a[/I] factor whatever its originality is.
|
[QUOTE=Batalov;310303]Pardon my ignorance on the subject, but is this thread for reporting [I]a[/I] factor (say, your first factor, or the first factor after a long drought, or a specifically large factor, or maybe k is prime) or [I]every[/I] factor? If [I]every[/I] factor, then who needs GIMPS?
Just asking! Do carry on click'n'pasting factors for exponents under 999,999,999 which are all obviously in the database. Mike will buy some more disks.[/QUOTE]Um, every factor isn't in the database because not every number has been worked on yet. This is just a thread for reporting factors you find, but that doesn't make the GIMPS project pointless. Think of it as a vanity thread. |
[QUOTE=Jwb52z;310317]Think of it as a vanity thread.[/QUOTE]That's the description! :-)
|
[QUOTE=Batalov;310303]Pardon my ignorance on the subject, but is this thread for reporting [I]a[/I] factor (say, your first factor, or the first factor after a long drought, or a specifically large factor, or maybe k is prime) or [I]every[/I] factor? If [I]every[/I] factor, then who needs GIMPS?
Just asking! Do carry on click'n'pasting factors for exponents under 999,999,999 which are all obviously in the database. Mike will buy some more disks.[/QUOTE] GIMPS does not list who found the factor, after it scrolls off of the recently cleared log. |
Ah! An interesting reason. :-)
Who do you think found ~2,000,000 factors in the same range? And who do you think couldn't give a flying hoot whether their name was attached to such factors or not? Factors don't have names, man. Maybe some primes have, but factors? A dime a million. |
Factors posted in this thread have names. But you are right. Posts about factors are boring. I better go post something about abortions. LOL
|
M35003321 has a factor: 166649218817722320487
k = 3 * 19 * 41762758819 M35005571 has a factor: 163355253462652796879 k = 173 * 13487139233 M35009911 has a factor: 159695433889858689679 k = 3 * 3 * 3 * 84471018787 M35012203 has a factor: 273822569105750422337 k = 2 * 2 * 2 * 2 * 2 * 19 * 6431558557 M35014489 has a factor: 184983574728391725911 k = 5 * 13 * 40638907363 M35018791 has a factor: 188863195532896168217 k = 2 * 2 * 103 * 6545140499 M35021729 has a factor: 292853612364458044817 k = 2 * 2 * 2 * 7 * 13931 * 5359357 M35022061 has a factor: 189168729713502578687 k = 2700708129563 M35024567 has a factor: 180191735258651760313 k = 2 * 2 * 3 * 3 * 88339 * 808867 M35028541 has a factor: 258149885738111515927 k = 3 * 3 * 137 * 2988524471 M35033533 has a factor: 223311916700551365073 k = 2 * 2 * 2 * 3 * 44927 * 2955829 M35038123 has a factor: 268184839867763577937 k = 2 * 2 * 2 * 3 * 761 * 209540269 M35045459 has a factor: 162547447606157478937 k = 2 * 2 * 3 * 193257857371 M35046821 has a factor: 221239401074320723903 k = 3 * 3 * 31 * 11313048389 M35050621 has a factor: 273373226891710210841 k = 2 * 2 * 5 * 131 * 1488431921 M35053973 has a factor: 162314829021988515343 k = 3 * 771737671609 M35063023 has a factor: 235557516745969202041 k = 2 * 2 * 3 * 5 * 83 * 674509813 M35075279 has a factor: 225696548195269240393 k = 2 * 2 * 3 * 3 * 3 * 47 * 587 * 1079777 M35076001 has a factor: 215772934689591628087 k = 3 * 3 * 3 * 241 * 472689649 M35437343 has a factor: 166974500305181625473 k = 2 * 2 * 2 * 2 * 2 * 2 * 13 * 2831624611 M35502373 has a factor: 152060535675866624153 k = 2 * 2 * 4349 * 123106147 M35508983 has a factor: 160236623787855213433 k = 2 * 2 * 3 * 14831 * 12677741 M35528203 has a factor: 192755400894384654449 k = 2 * 2 * 2 * 29 * 11692714169 M35532649 has a factor: 204691625403833728519 k = 3 * 2917 * 329143141 M35539597 has a factor: 172263158381976044177 k = 2 * 2 * 2 * 617 * 490992389 M35547679 has a factor: 252155177271079292689 k = 2 * 2 * 2 * 3 * 248441 * 594829 M35549047 has a factor: 190925607219897380911 k = 3 * 5 * 179025527951 M35569091 has a factor: 158006722867706413297 k = 2 * 2 * 2 * 3 * 3 * 30848944349 M35586961 has a factor: 278209062604371653849 k = 2 * 2 * 17 * 57483269563 M35587393 has a factor: 232085190422378894303 k = 13 * 250829092139 M35649727 has a factor: 149161279507562462423 k = 2092039575893 M35653991 has a factor: 218268189656507052169 k = 2 * 2 * 3 * 131 * 1947151567 M35656303 has a factor: 156399331510596086831 k = 5 * 438630251461 M35660347 has a factor: 211125770818473765983 k = 7 * 13 * 37 * 853 * 1030703 M35661931 has a factor: 265395288025888143943 k = 3 * 7 * 13 * 13629995417 M35674073 has a factor: 261772355361877711543 k = 3 * 3 * 492619 * 827537 M35675551 has a factor: 229725905993597102647 k = 3 * 49459 * 21699149 M35787749 has a factor: 179391161542640778847 k = 3 * 3 * 3 * 3 * 3 * 10314077489 M35814599 has a factor: 194895122146544636353 k = 2 * 2 * 2 * 2 * 2 * 3 * 3 * 3 * 6329 * 497579 M35834707 has a factor: 160631409927732531169 k = 2 * 2 * 2 * 2 * 3 * 19 * 97 * 25335533 M35840663 has a factor: 182320469011926116593 k = 2 * 2 * 2 * 3 * 7 * 7 * 109 * 19842463 M35861237 has a factor: 213164559676476653543 k = 11 * 31 * 6899 * 1263337 M35929559 has a factor: 278493934718400065297 k = 2 * 2 * 2 * 1187 * 408124957 M35939327 has a factor: 186542684935301498399 k = 7 * 370749221191 M35944619 has a factor: 294559255123264159177 k = 2 * 2 * 3 * 617 * 553404113 M35972327 has a factor: 180787828857090808849 k = 2 * 2 * 2 * 3 * 11 * 9518460983 M35976181 has a factor: 274782241128971705009 k = 2 * 2 * 2 * 11 * 43397122493 M35987711 has a factor: 160523337608766657809 k = 2 * 2 * 2 * 97 * 2874036239 M35987813 has a factor: 235038923817894126769 k = 2 * 2 * 2 * 3 * 19 * 7161260903 M35997679 has a factor: 224200564517866782959 k = 7 * 7 * 421 * 150957269 M36005797 has a factor: 215878556168279761657 k = 2 * 2 * 3 * 249819212177 M36018781 has a factor: 159612514523234750359 k = 3 * 3 * 246187174351 M36024917 has a factor: 150709352005931474527 k = 3 * 33049 * 21097337 M36026209 has a factor: 196899808212309018071 k = 5 * 79 * 97 * 71322721 M36031811 has a factor: 286096698158222751089 k = 2 * 2 * 2 * 193 * 2571280541 M36037553 has a factor: 163486569928586039999 k = 101 * 2843 * 7899481 M36046823 has a factor: 150792452126522743919 k = 2091619171633 M36051107 has a factor: 163543655896587986441 k = 2 * 2 * 5 * 23 * 23 * 214387487 M36053411 has a factor: 201414304868854559593 k = 2 * 2 * 3 * 11 * 21161187023 M36081359 has a factor: 249391118386330422127 k = 3 * 24683 * 46671193 M36113081 has a factor: 181852936986540174889 k = 2 * 2 * 3 * 13 * 643 * 25100953 M36117799 has a factor: 222323687122130864617 k = 2 * 2 * 3 * 256479830441 M36120697 has a factor: 200705368294248921401 k = 2 * 2 * 5 * 5 * 11 * 59 * 42808319 M36133949 has a factor: 172042246253161138159 k = 3 * 3 * 264513091819 M36193657 has a factor: 157555494379738286687 k = 19 * 23 * 67 * 74338681 M36267071 has a factor: 213964085506993144913 k = 2 * 2 * 2 * 131 * 3863 * 728639 M36315901 has a factor: 172431578407899553087 k = 3 * 17 * 46550013193 M36333217 has a factor: 156413524560914595367 k = 3 * 3 * 7 * 34166453773 M36355961 has a factor: 179902014309506306647 k = 3 * 3 * 3 * 91636108409 M36367249 has a factor: 245967119669603507839 k = 3 * 13 * 14057 * 6168497 M36423991 has a factor: 187036764091469564929 k = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 3 * 1671545639 M36426583 has a factor: 172746712686411854719 k = 3 * 7 * 13 * 41 * 211843361 M36432083 has a factor: 253607930103610193383 k = 3 * 3 * 3 * 92927 * 1387213 M36443893 has a factor: 150463512732217655497 k = 2 * 2 * 3 * 172026436103 M36471371 has a factor: 218545930177842126511 k = 3 * 3 * 3 * 3 * 5 * 7 * 1056835943 M36490501 has a factor: 292659314646637367713 k = 2 * 2 * 2 * 2 * 3 * 3 * 83 * 139 * 2413777 M36527347 has a factor: 273150580007856340607 k = 17 * 37 * 59 * 83 * 1213873 M36542479 has a factor: 251170462225533681487 k = 3 * 3 * 3 * 17 * 53 * 141270671 M36575951 has a factor: 284850810870621685561 k = 2 * 2 * 3 * 3 * 5 * 13 * 1664086817 M36596561 has a factor: 184195406725012684831 k = 3 * 5 * 167771143601 M36615077 has a factor: 179539207019455531943 k = 19 * 73 * 1767636229 M36624967 has a factor: 266121486601426921559 k = 3633061111037 M36641333 has a factor: 155032216317901173151 k = 3 * 3 * 3 * 5 * 5 * 89 M36643469 has a factor: 148508477453735901431 k = 5 * 107 * 227 * 16685723 M36659053 has a factor: 230566347572732354399 k = 8641 * 363932363 M36663199 has a factor: 279528661134251289353 k = 2 * 2 * 60029 * 15876139 M36686917 has a factor: 273892874389622897489 k = 2 * 2 * 2 * 466605156529 M36697127 has a factor: 252762682022420806903 k = 3 * 17 * 15073 * 4480031 M36699907 has a factor: 223981443139121313473 k = 2 * 2 * 2 * 2 * 2 * 1163 * 81995003 M36712681 has a factor: 155596639479533329703 k = 59 * 35917169569 M36853321 has a factor: 208223587210244797271 k = 5 * 43 * 163 * 80611543 M36860071 has a factor: 275636729631956418041 k = 2 * 2 * 5 * 7 * 1451 * 18405833 M36902953 has a factor: 151452790188074246303 k = 29 * 70760055523 M36960949 has a factor: 174676433908718542961 k = 2 * 2 * 2 * 5 * 59074658063 M36989929 has a factor: 157507627971091824527 k = 45139 * 47166773 M36995759 has a factor: 159884030261710244423 k = 41 * 52703480069 M37017763 has a factor: 193650028149451028791 k = 3 * 5 * 174375770311 M37018801 has a factor: 192079441480991389223 k = 137 * 12923 * 1465361 M37019531 has a factor: 253772424007971733247 k = 179 * 3169 * 6042383 M37048811 has a factor: 242591926188707217847 k = 3 * 3 * 17 * 21398367481 M37066013 has a factor: 217113651280951685489 k = 2 * 2 * 2 * 19 * 12647 * 1523527 M37074893 has a factor: 236102048775833324057 k = 2 * 2 * 7 * 101 * 1125927557 M37077871 has a factor: 158179946407898308793 k = 2 * 2 * 199 * 2679745631 M37081277 has a factor: 166709371133088512857 k = 2 * 2 * 3 * 3 * 3 * 17 * 29 * 42218681 M37084423 has a factor: 261775152994108197407 k = 587 * 6012689803 M37090133 has a factor: 151500339412525089559 k = 3 * 3 * 11 * 13 * 509 * 3117661 M37091581 has a factor: 207365917984054775369 k = 2 * 2 * 223 * 3133770467 M37094089 has a factor: 263610369040196063209 k = 2 * 2 * 3 * 229 * 1293037307 Damn those limits! I had so many more meaningful things to say! |
M37110191 has a factor: 294149558232233761159
k = 3 * 3 * 440354567941 M37115557 has a factor: 173252784102344427847 k = 3 * 5717 * 136083289 M37135411 has a factor: 170486936725748528537 k = 2 * 2 * 7 * 19 * 107 * 40325287 M37190249 has a factor: 293686536648047220983 k = 61 * 761 * 85057079 M37196941 has a factor: 159120638272884956183 k = 79 * 113 * 239598313 M37207393 has a factor: 190989247799713916071 k = 3 * 3 * 5 * 7 * 283 * 28790731 M37228447 has a factor: 274846789617163667207 k = 43 * 53 * 1619725531 M37266781 has a factor: 152648507008070611249 k = 2 * 2 * 2 * 3 * 29 * 2942601449 M37282111 has a factor: 179757260588803659161 k = 2 * 2 * 5 * 7 * 7 * 2459970361 M37282409 has a factor: 201596484606639121529 k = 2 * 2 * 43 * 15718841893 M37288057 has a factor: 249066880611328042321 k = 2 * 2 * 2 * 3 * 5 * 2677 * 10396487 M37296907 has a factor: 151576037595152741047 k = 3 * 7 * 96762803309 M37297349 has a factor: 154114326197503099913 k = 2 * 2 * 11 * 46955057351 M37302173 has a factor: 154207784017575262943 k = 11 * 11 * 1327 * 12873181 M37308547 has a factor: 188689110412357606889 k = 2 * 2 * 19 * 16301 * 2041177 M37330919 has a factor: 168806761396504283303 k = 131 * 277 * 62307467 M37340321 has a factor: 172197493000220899487 k = 11 * 137 * 1530049669 M37351877 has a factor: 260515798856032925609 k = 2 * 2 * 13 * 83 * 807997847 M37355621 has a factor: 217692976155323079497 k = 2 * 2 * 18043 * 40372879 M37377559 has a factor: 173319011084994502463 k = 7 * 7 * 131 * 361191811 M37394327 has a factor: 170811158018652301919 k = 2283918066217 M37426201 has a factor: 214615358295786432527 k = 17 * 191 * 883024529 M37435553 has a factor: 233245516468596520439 k = 11 * 59 * 4800145027 M37437593 has a factor: 170812688351871490849 k = 2 * 2 * 2 * 2 * 3 * 3 * 7 * 7 * 11 * 31 * 948133 M37439249 has a factor: 200405865739220939953 k = 2 * 2 * 2 * 3 * 3 * 3 * 7 * 11 * 160919557 M37471697 has a factor: 198914057004031342321 k = 2 * 2 * 2 * 3 * 5 * 17 * 1301073857 M37530439 has a factor: 181659685207120035889 k = 2 * 2 * 2 * 3 * 7 * 37 * 47 * 8283923 M37565221 has a factor: 252641694816140165089 k = 2 * 2 * 2 * 2 * 3 * 7 * 67 * 149373997 M37578833 has a factor: 191473778996391019487 k = 2547628062271 M37581961 has a factor: 152701896365352887207 k = 2031584998523 M37582451 has a factor: 245080470347893281953 k = 2 * 2 * 2 * 2 * 647 * 314970113 M37589371 has a factor: 219346432441743564689 k = 2 * 2 * 2 * 364708205083 M37604233 has a factor: 147815934527338204873 k = 2 * 2 * 3 * 163784680091 M37646963 has a factor: 287662468773508202359 k = 3 * 3 * 29 * 14638034053 M37657127 has a factor: 214455821650720692409 k = 2 * 2 * 3 * 3 * 29 * 2727471133 M37664239 has a factor: 204495148777909322617 k = 2 * 2 * 3 * 226226028331 M37667831 has a factor: 155496558538467648847 k = 3 * 3 * 229338867337 M37672109 has a factor: 150033932348016771863 k = 2707 * 735616237 M37679377 has a factor: 293350410789741182321 k = 2 * 2 * 2 * 5 * 17 * 61 * 193 * 486247 M37680217 has a factor: 176567304123567240881 k = 2 * 2 * 2 * 5 * 58574272583 M37686923 has a factor: 251192584356992636473 k = 2 * 2 * 3 * 3 * 3 * 3 * 163 * 63103511 M37690841 has a factor: 183352922329075826993 k = 2 * 2 * 2 * 7 * 43434415901 M37691327 has a factor: 225865322069337805577 k = 2 * 2 * 17 * 23189 * 1900147 M37699469 has a factor: 272926860063845830079 k = 317 * 11418834743 M37700581 has a factor: 217599362222336740033 k = 2 * 2 * 2 * 2 * 2 * 3 * 18539 * 1621519 M37732111 has a factor: 260571272022990577217 k = 2 * 2 * 2 * 2 * 2 * 107903481079 M37735787 has a factor: 148890085117248595033 k = 2 * 2 * 3 * 3 * 11 * 4981810283 M37745479 has a factor: 164228898740813564447 k = 23 * 61 * 1550589979 M37751513 has a factor: 207561519032538481457 k = 2 * 2 * 2 * 1601 * 214635307 M37767419 has a factor: 293261183823321135329 k = 2 * 2 * 2 * 2 * 17 * 14273759573 M46390237 has a factor: 3069606172495819581439 k = 3 * 11 * 263 * 2953 * 1290901 M48284017 has a factor: 2924320479941686666327 k = 3 * 107 * 94337973659 M50017949 has a factor: 1793387613726572168783 k = 4673849 * 3835691 M50323211 has a factor: 3028031774184018963721 k = 2 * 2 * 3 * 5 * 501430604621 M50939129 has a factor: 1465594116696270496631 k = 5 * 41 * 41 * 1711569287 M52539379 has a factor: 788541626413006268359 k = 3 * 126227 * 19816921 M54963743 has a factor: 1166072160272005896401 k = 2 * 2 * 2 * 5 * 5 * 283 * 187414289 M551112533 has a factor: 274931939516806475887 k = 3 * 23 * 193 * 277 * 67619 M551112889 has a factor: 207396084038979045953 k = 2 * 2 * 2 * 2 * 2 * 7 * 37 * 22702843 M55568467 has a factor: 884078728329241273079 k = 593 * 13414603369 M55686251 has a factor: 3548054759971735062169 k = 2 * 2 * 3 * 7 * 17 * 22309206853 M561113011 has a factor: 1562349964740933874463 k = 11 * 41 * 3086892071 M57432913 has a factor: 848443051334532540583 k = 3 * 3 * 37 * 59 * 375954781 M58195679 has a factor: 594698417085922952399 k = 61 * 443 * 189078647 M58196351 has a factor: 766566095609102596537 k = 2 * 2 * 3 * 23 * 29 * 822842617 M58658189 has a factor: 1108235848839626043529 k = 2 * 2 * 3 * 59 * 101 * 132104897 M58759079 has a factor: 984303170917928779601 k = 2 * 2 * 2 * 5 * 5 * 41878769531 M59169203 has a factor: 4720951098368342551319 k = 11 * 17 * 79 * 5881 * 459181 M59252959 has a factor: 3273287506268737172249 k = 2 * 2 * 11 * 197 * 3186582827 M59259769 has a factor: 1339058703556210237481 k = 2 * 2 * 5 * 11 * 40039 * 1282637 M59259929 has a factor: 2528603410235915812049 k = 2 * 2 * 2 * 109 * 24466571273 M60163403 has a factor: 1998868895721565092833 k = 2 * 2 * 2 * 2 * 167 * 739 * 8412809 M60170053 has a factor: 2233205860275700045103 k = 149 * 25577 * 4869479 M60175813 has a factor: 2229557868416759226529 k = 2 * 2 * 2 * 2 * 3 * 7 * 7 * 13 * 17 * 47 * 193 * 3929 M60952777 has a factor: 3080204892479441206681 k = 2 * 2 * 3 * 5 * 421119026357 M61024813 has a factor: 872591350919155266199 k = 3 * 673 * 1511 * 2343547 M61241561 has a factor: 2118283078737228213119 k = 7 * 11 * 83 * 2706069409 M61261469 has a factor: 1809223104368726198249 k = 2 * 2 * 23 * 17747 * 9044029 M61263779 has a factor: 2305099265883779477527 k = 3 * 6270968217299 M61265003 has a factor: 1492869685479523699903 k = 3 * 47 * 181 * 229 * 359 * 5807 M61341053 has a factor: 1070753253196520426033 k = 2 * 2 * 2 * 149 * 457 * 457 * 35059 M61344791 has a factor: 4118071585807126838393 k = 2 * 2 * 157 * 53447397277 M61347899 has a factor: 1572488778516252755761 k = 2 * 2 * 2 * 3 * 3 * 5 * 7 * 103 * 199 * 281 * 883 M61350931 has a factor: 1054787667879957230183 k = 197 * 43636274413 M61354099 has a factor: 2473332426925451452609 k = 2 * 2 * 2 * 2 * 2 * 3 * 13 * 13721 * 1177087 M61379477 has a factor: 2071668988309289051279 k = 17 * 992700554171 M61379609 has a factor: 1737731362637995990327 k = 3 * 3 * 3 * 17 * 4639 * 6648007 M61379719 has a factor: 1431343861124690876087 k = 17 * 47 * 14592923603 M61379743 has a factor: 1089392490518111686343 k = 223337 * 39734581 M61396679 has a factor: 750729848684767969583 k = 6113765930929 M61404677 has a factor: 1456822240637590126567 k = 3 * 3 * 7 * 2521 * 74689873 M61405907 has a factor: 1058203160948577555529 k = 2 * 2 * 3 * 31 * 23162528591 M61407581 has a factor: 2113545741165176018599 k = 3 * 3 * 1912128859831 M61410143 has a factor: 4202176236608935070033 k = 2 * 2 * 2 * 51133 * 83639783 M61415443 has a factor: 989541588418458465113 k = 2 * 2 * 2014032505673 M61418207 has a factor: 2429948643976004124199 k = 3 * 89 * 953 * 77743807 M61446289 has a factor: 2340214834986197101063 k = 3 * 3 * 13 * 83 * 199 * 9854011 M61458409 has a factor: 2133222936631679279369 k = 2 * 2 * 4338753173369 M61480297 has a factor: 723898782091992750823 k = 3 * 3 * 654138007907 M61492687 has a factor: 1288992446554227061393 k = 2 * 2 * 2 * 3 * 3 * 80149 * 1816211 M62020753 has a factor: 1303121863089001038719 k = 23 * 100913 * 4526297 M62020939 has a factor: 1826837897438471005007 k = 14727589801877 M62021737 has a factor: 1463317920049828600057 k = 2 * 2 * 3 * 13 * 67271 * 1124119 M62024407 has a factor: 2693892547749506737057 k = 2 * 2 * 2 * 2 * 3 * 2557 * 176935789 M62024777 has a factor: 4602033190909325507969 k = 2 * 2 * 2 * 2 * 2 * 2 * 17 * 29 * 1175784271 M62026033 has a factor: 1694368592301956022961 k = 2 * 2 * 2 * 3 * 5 * 1039 * 109548667 M62035453 has a factor: 1191932514096918817471 k = 3 * 5 * 13 * 13 * 41 * 92431477 |
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