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-   -   Found a factor? Post it here. (https://www.mersenneforum.org/showthread.php?t=13977)

 tha 2020-06-02 06:53

P-1 found a factor in stage #2, B1=500000, B2=20000000, E=12.
M15048053 has a factor: 779549271886429668067009697 (P-1, B1=500000, B2=[B]20000000[/B], E=12)

2[SUP]5[/SUP]×
13×
127×
281×
174893×
15048053×
[B]19952047[/B]
+1

90 bit (89.33)

 masser 2020-06-02 18:02

that's a nice one. :whistle:

 Jwb52z 2020-06-16 22:51

P-1 found a factor in stage #2, B1=760000, B2=13680000.
UID: Jwb52z/Clay, M99367627 has a factor: 111236745363658693048154513 (P-1, B1=760000, B2=13680000),

86.524 bits.

 Jwb52z 2020-06-28 19:43

P-1 found a factor in stage #2, B1=760000, B2=13680000.
UID: Jwb52z/Clay, M99402031 has a factor: 960298973528588868089863 (P-1, B1=760000, B2=13680000),

79.668 bits.

 masser 2020-07-01 16:36

P-1 found a factor in stage #2, B1=6000000, B2=160000000, E=12.
M14005993 has a factor: 417809407686661544489263 (P-1, B1=6000000, B2=160000000, E=12)

417809 407686 661544 489262 = 2 × 3^2 × 97 × 68813 × 14 005993 × 248 284483

 petrw1 2020-07-08 06:07

141.4 bits

[QUOTE]exponent factor digits bits* k min B1 min B2
40579559
3592039036873131451370283138714871190421073
43
141.366
44259217268392831121825192071639704
2^3 × 3^3 × 11 × 113 × 379 × 2579 × 5857 × 52567 × 596341 × 918555097
596,341
918,555,097[/QUOTE]

I used B1=1000000, B2=20000000
Result had E=12. Brent Suyama helped, I believe

 James Heinrich 2020-07-08 13:02

Impressive, that's #20 on the [url=https://www.mersenne.ca/pm1user/1]all-time biggest P-1 list[/url].

 petrw1 2020-07-08 14:31

[QUOTE=James Heinrich;550022]Impressive, that's #20 on the [url=https://www.mersenne.ca/pm1user/1]all-time biggest P-1 list[/url].[/QUOTE]

I also have the 4th. :)

 James Heinrich 2020-07-08 15:12

[QUOTE=petrw1;550031]I also have the 4th. :)[/QUOTE]And 35, 36, 81... But I got #117, so there! :flex:

Maybe I should extend that page to show beyond 100 so I feel special again... :down:

 Jwb52z 2020-07-08 19:33

P-1 found a factor in stage #1, B1=760000.
UID: Jwb52z/Clay, M99621787 has a factor: 39763146304338863464275129264073 (P-1, B1=760000),

104.971 bits.

 storm5510 2020-07-09 15:34

UID: storm5510/7700_Kaby_Lake, M7755521 has a factor: 105137409539055148931876353 (P-1, B1=370000, B2=8140000, E=6)

86.442 bits.

This is not a record here, or for me. However, it is the first I have found of any significance is a really long time.

 Jwb52z 2020-07-11 03:57

P-1 found a factor in stage #2, B1=760000, B2=13680000.
UID: Jwb52z/Clay, M99633031 has a factor: 97905827678596252126675363231 (P-1, B1=760000, B2=13680000),

96.305 bits.

 storm5510 2020-07-12 12:56

From [I]gpuOwl[/I]:

{"status":"F", "exponent":"7765781", "...":"PM1", "B1":"370000", "B2":"8140000", "...", "factors":["140468706376328182650630225863",...}
96.826 bits.

{"status":"F", "exponent":"7766881", "...":"PM1", "B1":"370000", "B2":"8140000", "...", "factors":["14786058658810602089190892018393"...}
103.544 bits.

I shortened these a little for readability.

 Uncwilly 2020-07-20 21:41

332283361 Factored
297034017173995954820063
77 bits
The exponent has previously had a total about 60% of a first time check run (3 different users). What a waste of cycles when a factor was so close. I have done 7 different single bit factoring runs on this exponent (2009, 2012, 2014, 2014, 2015, 2017, 2020)

 kruoli 2020-07-21 08:30

If the exponent would have received proper P-1'ing with stage 2, the same factor would long have been found, even barely with the lower GPU72 bounds.

 storm5510 2020-07-21 17:47

Some I have found in recent days:

[QUOTE]{"status":"F", "exponent":"7772591", "..."factors":["217829919898848456896764649"], "..."}
27 digits. 87.493 bits.

{"status":"F", "exponent":"7773749", "..."factors":["755815062954005295953743"], "..."}
24 digits. 79.322 bits.

{"status":"F", "exponent":"10037099", "..."factors":["75804608324741176071997207"], "..."}
26 digits. 85.970 bits.

{"status":"F", "exponent":"10039303", "..."factors":["10264737979425392203143761"], "..."}
26 digits. 83.086 bits.

{"status":"F", "exponent":"7783463", "..."factors":["1348646481756687012246977831"], "..."}
28 digits. 90.124 bits.

{"status":"F", "exponent":"8028799", "..."factors":["817275039261758312823819887"], "..."}
27 digits. 89.401 bits.

{"status":"F", "exponent":"8030609", "..."factors":["190035152807530410451188527"], "..."}
27 digits. 87.296 bits.[/QUOTE]JSON makes these a bit tedious to prepare.

 James Heinrich 2020-07-21 18:41

[QUOTE=storm5510;551210]JSON makes these a bit tedious to prepare.[/QUOTE]Does this make it simpler? Now with sortable columns for exponent/bits/date.
[url]https://www.mersenne.ca/pm1user/63934/date[/url]

You can copy-paste with BBcode already provided:[quote][M]M8030609[/M] has a 87.296 bit factor: [url=https://www.mersenne.ca/M8030609]190035152807530410451188527[/url]
[M]M8028799[/M] has a 89.401 bit factor: [url=https://www.mersenne.ca/M8028799]817275039261758312823819887[/url]
[M]M8020049[/M] has a 73.671 bit factor: [url=https://www.mersenne.ca/M8020049]15041194718010883036649[/url]
[M]M7783463[/M] has a 90.124 bit factor: [url=https://www.mersenne.ca/M7783463]1348646481756687012246977831[/url]
[M]M10039303[/M] has a 83.086 bit factor: [url=https://www.mersenne.ca/M10039303]10264737979425392203143761[/url]
[M]M10037099[/M] has a 85.971 bit factor: [url=https://www.mersenne.ca/M10037099]75804608324741176071997207[/url]
[M]M7773749[/M] has a 79.322 bit factor: [url=https://www.mersenne.ca/M7773749]755815062954005295953743[/url]
[M]M7772591[/M] has a 87.493 bit factor: [url=https://www.mersenne.ca/M7772591]217829919898848456896764649[/url][/quote]

 masser 2020-07-22 03:52

That's snazzy!

 Uncwilly 2020-07-22 04:30

[STRIKE]Oliver[/STRIKE]Ryan must be too [STRIKE]modest[/STRIKE]busy to mention this one:
3307 has (another factor)
[C]3413215452475967590824666626325289455333796024133147903[/C] 181.1 bits Found on [STRIKE]April 17[/STRIKE]July 19.

The kicker is that the remaining cofactor is......
a PRP prime.
Here it is in all of its 895 digits of glory
[code]4353524133827611408574208775478589622111831317341613312984483361937010301205675662770047321087657048773241272664969392649718635926074520045281026910770712314524181933285227032125890659729016386069176693616914507334697422980860732777622339397522425721336605336658097363439448188753603624197638404803872825913098432275237874692169933508441748813480413682045289248409103532867732796807798694178375216208599640289769681995273685523060799468166287838493578146083048523489321729004640944722830982540726315520246334782951056660779801812979132998107387817802450037638989678012221564659671646755919013676548232993387587588481088712201127163199334146273445861473198777280904858096693010663932570520300269384917851688798854877340668001753453962945664051594771519075317923436346650061743281400127677733596528217642970792987250908618113230982353461817488308071861173968794875263418257665630917664743895435713[/code]
Dario's ECM site confirms it.

 kruoli 2020-07-22 08:40

[QUOTE=Uncwilly;551258]Oliver must be too modest to mention this one: 3307 has (another factor).[/QUOTE]

That's because Ryan found it, I only appear in another result line (if you were thinking about me). :razz:

 storm5510 2020-07-22 13:49

[QUOTE=James Heinrich;551218]Does this make it simpler? Now with sortable columns for exponent/bits/date.
[URL]https://www.mersenne.ca/pm1user/63934/date[/URL]

You can copy-paste with BBcode already provided:[/QUOTE]

Wow! That is a lot simpler. Some of the older programs, like [I]CUDAPm1[/I] and [I]CUDALucas[/I] could migrate to JSON. On the other hand is [I]gpuOwl[/I]. It does those jobs and generates JSON. Perhaps there is no point in update the older ones after-all. [I]mfaktc[/I] would be a good candidate though. Just some ideas...

 Uncwilly 2020-07-22 13:55

[QUOTE=kruoli;551266]That's because Ryan found it, I only appear in another result line (if you were thinking about me). :razz:[/QUOTE]:doh!::doh!:
Need more sleep.
:picard:
Yes, it was Ryan.

 James Heinrich 2020-07-22 15:23

[QUOTE=storm5510;551279]Wow! That is a lot simpler. ... JSON[/QUOTE]There is now a general-purpose JSON factor results line to BBcode converter:
[url]https://www.mersenne.ca/json2bbcode.php[/url]

 Viliam Furik 2020-07-24 19:54

My biggest factor yet.

[M]M10464319[/M] has a 100.251 bit factor: [url=https://www.mersenne.ca/M10464319]1508190451550803761680015597777[/url]

I had this assigned for PRP-CF. When I found the factor, I quickly assigned it back, because for some reason, when a new factor is found, AID changes on server, resulting in unassignment in Prime95. When I tried further, I found nothing. But apparently I was too slow with re-assigning because another user got it assigned before me. :cry:

If I hadn't done another P-1, I would still have it assigned to me... That's what I get for being greedy on factors.

 storm5510 2020-07-24 20:59

[QUOTE=Viliam Furik;551474][M]M10464319[/M] has a 100.251 bit factor: [URL="https://www.mersenne.ca/M10464319"]1508190451550803761680015597777[/URL]

I had this assigned for PRP-CF. When I found the factor, I quickly assigned it back, because for some reason, when a new factor is found, AID changes on server, resulting in unassignment in Prime95. When I tried further, I found nothing. But apparently I was too slow with re-assigning because another user got it assigned before me. :cry:

If I hadn't done another P-1, I would still have it assigned to me... That's what I get for being greedy on factors.[/QUOTE]

31 digits, if I counted correctly. My largest ever is 39. I found it running an ECM. I find more larger factors with P-1 than any other test.

 Jwb52z 2020-07-29 03:47

P-1 found a factor in stage #2, B1=765000, B2=13770000.
UID: Jwb52z/Clay, M99722053 has a factor: 10512338016344446590255974311 (P-1, B1=765000, B2=13770000),

93.086 bits.

 Uncwilly 2020-07-29 05:28

I will match you:
107,841,991 has a factor 12730778224029936496678206809
93.4 bits

 storm5510 2020-07-29 23:16

[M]M7819481[/M] has a 82.157-bit factor: [URL="https://www.mersenne.ca/M7819481"]5390575845470371528047137[/URL] (P-1,B1=375000,B2=8250000)

[B]James Heinrich[/B] made these really easy to trim down.

 Jwb52z 2020-07-31 00:51

P-1 found a factor in stage #2, B1=725000, B2=12506250.
UID: Jwb52z/Clay, M99840353 has a factor: 5932727665521459357484273 (P-1, B1=725000, B2=12506250),

82.295 bits.

 masser 2020-08-01 13:59

M14085161 has a factor: 32832537809579740360129 (ECM curve 3, B1=51000, B2=5000000)

P-1 = 32832 537809 579740 360128 = 2^6 × 3 × 7 × 11 × 13 × 6599 × 1 837931 × 14 085161

Not that interesting at first glance. However, it appears that an earlier P-1 effort (from December 2001) should have found this factor: [URL="https://www.mersenne.org/report_exponent/?exp_lo=14085161&full=1"]M14085161[/URL]

 Jwb52z 2020-08-03 05:46

P-1 found a factor in stage #1, B1=765000.
UID: Jwb52z/Clay, M99768083 has a factor: 384441743608822713047911 (P-1, B1=765000),

78.347 bits.

 storm5510 2020-08-03 18:08

This was for GPUto72. I rarely get anything this size from [I]mfaktc[/I].

[QUOTE]M109296301 has a factor: 10598526822311362603927 [TF:73:74:mfaktc 0.21 barrett76_mul32_gs][/QUOTE]"Inane." I thought this was a typo which should have been "insane." Not the case. Google said, "Silly, Stupid."

 Uncwilly 2020-08-03 18:54

[QUOTE=storm5510;552450]"Inane." I thought this was a typo which should have been "insane." Not the case. Google said, "Silly, Stupid."[/QUOTE]
FYI the previous thread titles are as follows:
[CODE]found a factor? say it
found a factor? say it backwards... fast
found a factor? say it backwards then fast for a week
found a factor? say it backwards for a week
found a factor? pay it back
found a factor? play it again, Sam
found a factor? pat yourself on the back
found a factor? Get a cowpat on your back
found a factor? Don't have a cow, man!
found a factor? Join the club...
found a factor? Man the lifeboat...
found a factor? Person the lifeboat...
found a factor? Draw a star on starboard...
found a factor? Draw a straw and hope it's a long one
found a factor? Draw a strawman and hope it's a long one
found a factor? Draw a lawman and hope it's a strong one
found a factor? Talk to a layman and hope it's a patient one
found a factor? Talk to a caiman and hope it's a patient one
found a factor? Go to a caiman and have a good break! You deserve it
found a factor? Go to Caimans and have a good break! You deserve it
found a factor? Go to Caymans and have a good break! You deserve it
found a factor? Go to Caymans and break a leg! You deserve it
found a factor? Turn it in at the lost property office
found a factor? Turn it in at the lost prosperity office
found a factor? Turn it in for the world to admire
found a factor? Turn it in to become instantly famous!
fondled a factor? Turn it in to become instantly famous!
fondled a factor? Turn yourself in to become instantly famous!
fondled a factor? Turn yourself in to become insanely famous!
fondled a factor? Turn yourself in to become inanely famous!
fond of a factor? Turn yourself in to become inanely famous!
fond of a factor? Turn yourself in to become insane.
[/CODE]

 storm5510 2020-08-04 00:47

[QUOTE=Uncwilly;552460]FYI the previous thread titles are as follows:...[/QUOTE]

Wow! I had no idea there had been so many. I remember "instantly famous!" None before. :smile:

 Jan S 2020-08-05 19:10

[URL="https://www.mersenne.org/report_exponent/?exp_lo=53297821&full=1"]53297821[/URL]

P-1 found a factor: 369952925606532942373603199517480717271799 in stage 2.
B1=5 000 000, B2=200 000 000

138.086 bits

 kruoli 2020-08-05 19:55

Congratulations! :smile: That's place 33 in the [URL="http://www.mersenne.ca/pm1user/1"]all-time-biggest-Mersenne-number-factor-list[/URL] using P-1.

 Jwb52z 2020-08-08 04:19

P-1 found a factor in stage #2, B1=725000, B2=12506250.
UID: Jwb52z/Clay, M99867301 has a factor: 1258963263490729826198657 (P-1, B1=725000, B2=12506250),

80.059 bits.

 Jwb52z 2020-08-20 16:21

UID: Jwb52z/Clay, M99786779 has a factor: 5811971107148547657342833 (P-1, B1=765000)

82.265 bits.

 axn 2020-08-20 17:01

[CODE]P-1 found a factor in stage #2, B1=30000000, B2=600000000, E=12.
UID: axn/R5, M3640333 has a factor: 75280105019644427503116372295759257424213063 (P-1, B1=30000000, B2=600000000, E=12)
[/CODE]
44 digits / 146 bits. Should be in Top 20. This needed a B-S assist.

 petrw1 2020-08-20 17:02

Ends in a 7 digit Palindrome

41130281 Factor: 33095143150868303223223

 kruoli 2020-08-21 08:19

[QUOTE=axn;554389]44 digits / 146 bits.[/QUOTE]

Nice, congratulations! :party:

 James Heinrich 2020-08-21 14:38

[QUOTE=axn;554389]44 digits / 146 bits. Should be in Top 20. This needed a B-S assist.[/QUOTE]Indeed, it's [url=https://www.mersenne.ca/pm1user/1]#16 of all time[/url], and #1 on [url=https://www.mersenne.ca/pm1user/1077]your list[/url]. Well done! :smile:

 storm5510 2020-08-22 16:34

Recently:

[QUOTE]{"status":"F", "exponent":"7765781", "worktype":"PM1", "B1":"370000", "B2":"8140000", "fft-length":"524288", "factors":["140468706376328182650630225863"]...}
30 digits.
96.826 bits.

M7743221 has a factor: 1949670033377397597594276583567 (P-1, B1=370000, B2=8140000, E=6)
31 digits.
100.621 bits.

{"status":"F", "exponent":"7766881", "worktype":"PM1", "B1":"370000", "B2":"8140000", "fft-length":"524288", "factors":["14786058658810602089190892018393"]...}
32 digits.
103.544 bits.[/QUOTE]These are from [B]James Heinrich's[/B] "Poorly factored P-1's" list.

 James Heinrich 2020-08-22 17:10

I updated the [url=https://www.mersenne.ca/json2bbcode.php]BBcode results encoder[/url] to also handle non-JSON results for your convenience:[QUOTE=storm5510;554600][M]M7765781[/M] has a 96.826-bit (30-digit) factor: [url=https://www.mersenne.ca/M7765781]140468706376328182650630225863[/url] (P-1,B1=370000,B2=8140000)
[M]M7743221[/M] has a 100.621-bit (31-digit) factor: [url=https://www.mersenne.ca/M7743221]1949670033377397597594276583567[/url] (P-1,B1=370000,B2=8140000,E=6)
[M]M7766881[/M] has a 103.544-bit (32-digit) factor: [url=https://www.mersenne.ca/M7766881]14786058658810602089190892018393[/url] (P-1,B1=370000,B2=8140000)[/quote]

 storm5510 2020-08-22 23:19

[QUOTE=James Heinrich;554606]I updated the [URL="https://www.mersenne.ca/json2bbcode.php"]BBcode results encoder[/URL] to also handle non-JSON results for your convenience:[/QUOTE]

That's right. You did and I had forgotten. Shame on me. :blush:

I keep all my results. I wrote a quick-and-dirty little program which will read through a results file and pick out lines with factor information and write them to another text file. It is a work-in-progress, but good enough that I may have missed the three above without it.

:smile:

 storm5510 2020-08-23 14:41

From July:

[QUOTE]UID: storm5510/7700_Kaby_Lake, M7743221 has a factor: 1949670033377397597594276583567 (P-1, B1=370000, B2=8140000, E=6), AID: 0C70DF7EE62E9F9A34F8DE8387A2F292

31 digits.
100.621 bits.[/QUOTE][B]James Heinrich[/B]: This is a [I]Prime95 result[/I]. Your BBCode convertor did not want to work with it.

 storm5510 2020-08-23 16:13

[M]M100091029[/M] has a 101.349-bit (31-digit) factor: [URL="https://www.mersenne.ca/M100091029"]3228091182977790599237506837961[/URL] (P-1,B1=650000,B2=22000000)

 storm5510 2020-08-23 16:46

[B][U]A correction to post #1598 :[/U][/B]

v30 of [I]Prime95[/I] creates dual results entries in two different files. I made a false assumption that JSON only happened with PRP work. :blush:

 James Heinrich 2020-08-23 23:15

[QUOTE=storm5510;554714][B]James Heinrich[/B]: This is a [I]Prime95 result[/I]. Your [url=https://www.mersenne.ca/json2bbcode.php]BBCode convertor[/url] did not want to work with it.[/QUOTE]It accepts it now.

[QUOTE=storm5510;554726]v30 of [I]Prime95[/I] creates dual results entries in two different files.[/QUOTE]That's not new to v30:[code]New features in Version 29.8 of prime95.exe
6) JSON results are now available for all work performed. JSON results are
written to results.json.txt.[/code]

 storm5510 2020-08-24 00:45

[QUOTE=James Heinrich;554758]It accepts it now.

That's not new to v30:[code]New features in Version 29.8 of prime95.exe
6) JSON results are now available for all work performed. JSON results are
written to results.json.txt.[/code][/QUOTE]

I remember seeing [I]results.json.txt[/I] files prior to v30, now that you mention it. Looking at them, word-wrapped in Notepad, they did not seem to make a lot of sense. Turning off word-wrap, they appeared as very long lines of text. Perhaps in the future, the old forms will cease, at least in [I]Prime95[/I]. Other programs, like [I]mfakt(x)[/I] will need some revision to comply. [U]I appreciate your efforts[/U].

 LaurV 2020-08-24 08:36

:davar55: Me and my precious 122 bit factor even won't appear in that Top-200.

James, you [B][U]must[/U][/B] extend that top to 300 or 500 :rant:

 James Heinrich 2020-08-24 10:38

[QUOTE=LaurV;554794]:davar55: Me and my precious 122 bit factor even won't appear in that Top-200.
James, you [B][U]must[/U][/B] extend that top to 300 or 500 :rant:[/QUOTE]Your "precious" would be #256 on the [URL="https://www.mersenne.ca/pm1user/1"]list[/URL] if I would extend it that far.

 LaurV 2020-08-24 11:57

[QUOTE=James Heinrich;554804]Your "precious" would be #256 on the [URL="https://www.mersenne.ca/pm1user/1"]list[/URL] if I would extend it that far.[/QUOTE]
Yay! Power of two! I knew it that's something important with it! :razz:
Thanks!

BTW just today I just found a 116 bits factor, so now you have to extend it further. Haha, just kidding man. But I [U]did[/U] just found a [URL="https://www.mersenne.ca/exponent/105890809"]116 bits factor[/URL], and anyhow, it is funny to see how you take it so serious every time. Kudos and kutgw! :bow:

(P.S.: the best part of it is that now I can click on my name and see my factors! Before, as I was not in the table, and could never remember my "jail number", it was more complicate - bookmarks, search, saved link, etc, hihi)

 storm5510 2020-08-24 13:56

[QUOTE=LaurV;554794]...Me and my precious 122 bit factor even won't appear in that Top-200. ..[/QUOTE]

35-digits. That is really good. I have a 39-digit but it would not appear on this list. It is ECM. I do not know if anyone in this group has noticed, ECM assignments are now 7 curves. I run a few on my antique machine on occasion. Anyway, I have always believed larger factors are more commonly found with P-1.

 LaurV 2020-08-30 10:23

Told you I'll bring luck if you put me on that list :razz:
This beauty popped up (62 digits, 202 bits): :shock:

Factor: 11357797528017579440065902285366253196028688791738880200930167 / (P-1, B1=1500000, B2=75000000)

Unfortunately, not prime, grrr... :sad: it would have been a nice "absolute ever" record. It splits into 122+81 bits, the larger of which is just a pinch smaller that my former record, and now I have two positions in top-300, (yay!), at 257 and 281. BloodIce, I come for you! :razz:

One odd thing worth mentioning: when I reported it, the server recorded it two times (once for each factor) and it gave me a double amount of credit (one full credit, for each factor).

 James Heinrich 2020-08-30 13:16

[QUOTE=LaurV;555439]One odd thing worth mentioning: when I reported it, the server recorded it two times (once for each factor) and it gave me a double amount of credit (one full credit, for each factor).[/QUOTE]It's a known thing. Once the server receives your factor it's checked and (if necessary) split into prime factors, and then processed as if you had submitted each prime factor separately. If both happen to be new factors then you get a "bonus". Consider it an incentive to find more composite factors. :smile:

 storm5510 2020-08-30 16:30

[QUOTE=LaurV;555439]Factor: 11357797528017579440065902285366253196028688791738880200930167 / (P-1, B1=1500000, B2=75000000)...[/QUOTE]

Wow! That's big. How would you go about breaking this down into smaller factors, like "w = x * y * z?" I've seen this done before.

 VBCurtis 2020-08-30 16:37

[QUOTE=storm5510;555464]Wow! That's big. How would you go about breaking this down into smaller factors, like "w = x * y * z?" I've seen this done before.[/QUOTE]

Feed it to yafu, or msieve, or CADO; you know, any of the factoring programs used by other parts of this forum.

Try the "factoring" subforum for more info.

 Uncwilly 2020-08-30 17:21

[QUOTE=VBCurtis;555466]Feed it to yafu, or msieve, or CADO; you know, any of the factoring programs used by other parts of this forum.

Try the "factoring" subforum for more info.[/QUOTE]

or use [url]https://www.alpertron.com.ar/ECM.HTM[/url]

 James Heinrich 2020-08-30 17:23

[QUOTE=storm5510;555464]Wow! That's big. How would you go about breaking this down into smaller factors, like "w = x * y * z?" I've seen this done before.[/QUOTE]
Dario Alpern has a good online factorization tool: [url]https://www.alpertron.com.ar/ECM.HTM[/url]
(tool is online, calculations are done on your machine in the browser)

[url]https://www.mersenne.ca/factor.php[/url] can also be used to factor [I]small[/I] numbers (up to 45 digits, but also larger numbers that are Mersenne factors).

If you have [URL="https://www.mersenneforum.org/forumdisplay.php?f=96"]YAFU[/URL] installed, just open it and type [COLOR="DarkSlateBlue"][FONT="Courier New"]factor(11357797528017579440065902285366253196028688791738880200930167)[/FONT][/COLOR] and you'll get your answer. This is what mersenne.ca does internally when it encounters a composite factor, and if it can't get the answer quickly (within a few seconds) then I can run that manually on my more-powerful home computer. Most numbers can be factored quickly, some can take forever (just ask M1277).

 Uncwilly 2020-09-01 13:34

Ryan found a 208 bit factor:
[M]2137[/M] has a factor 434527865148151913428610180914321766584011558417928142522774921
:fusion::party:
:faf:

 petrw1 2020-09-01 14:34

[QUOTE=Uncwilly;555649]Ryan found a 208 bit factor:
[M]2137[/M] has a factor 434527865148151913428610180914321766584011558417928142522774921
:fusion::party:
:faf:[/QUOTE]

My GPU could TF that in less than 4 times the age of the universe.

 firejuggler 2020-09-01 15:40

Can I ask how long did the curve take? And would it be advisable to repeat one or two curves with the same bound to find similar sized other factor? ( atm the cofactor has been Prp'ed and show not prime).

edit: I realise it should have been a T65 curve, my apologies.

 James Heinrich 2020-09-01 15:56

[QUOTE=firejuggler;555665]Can I ask how long did the curve take?[/QUOTE]By my calculations a single curve of those bounds should be in the order of 1-2 GHz-days. It's all the [i]other[/i] curves that didn't find a factor that make it such a long/hard process. :smile:

 VBCurtis 2020-09-01 19:27

[QUOTE=firejuggler;555665]Can I ask how long did the curve take? And would it be advisable to repeat one or two curves with the same bound to find similar sized other factor? ( atm the cofactor has been Prp'ed and show not prime).

edit: I realise it should have been a T65 curve, my apologies.[/QUOTE]

If you click on the exponent report linked in the post above yours, you'll see that B1 is 2.9G. That's T70 standard.

I don't think you understand ECM at all if you think an extra curve or two has any nontrivial probability to find another factor; never mind that there's no reason at all to think there's another one of the same size lurking just because one was found at this size.

 lycorn 2020-09-01 21:52

[QUOTE=James Heinrich;555666]By my calculations a single curve of those bounds should be in the order of 1-2 GHz-days. It's all the [i]other[/i] curves that didn't find a factor that make it such a long/hard process. :smile:[/QUOTE]

True. I wonder why that effort was not reported to Primenet and only one curve is mentioned.

 James Heinrich 2020-09-01 23:28

[QUOTE=lycorn;555709]True. I wonder why that effort was not reported to Primenet and only one curve is mentioned.[/QUOTE]On this current effort I'm not sure. It's not impossible that he just got lucky and found the factor in the first curve he attempted at those bounds. Ryan has previously run a large number of curves on M2137, most recently reported on 2019-11-19:[code]M2137 completed 8596 ECM curves, B1=110000000, B2=776278396540
M2137 completed 19664 ECM curves, B1=260000000, B2=3178559884516
M2137 completed 348 ECM curves, B1=850000000, B2=14899382397918[/code]Remember that NF-ECM results are hidden on the exponent report page by default, you need to check the checkbox if you want to [url=https://www.mersenne.org/report_exponent/?exp_lo=2137&exp_hi=&full=1&ecmhist=1]see them[/url].

 Prime95 2020-09-02 00:30

[QUOTE=lycorn;555709]True. I wonder why that effort was not reported to Primenet and only one curve is mentioned.[/QUOTE]

Probably an artifact of his batch methods whereby prime95 does stage 1 and GMP-ECM does stage 2. This big factor was found in stage 1!

 ryanp 2020-09-02 03:47

[QUOTE=Prime95;555723]Probably an artifact of his batch methods whereby prime95 does stage 1 and GMP-ECM does stage 2. This big factor was found in stage 1![/QUOTE]

I actually use just GMP-ECM, but with gwnum compiled/linked in, which makes stage 1 faster for b^n-1 numbers...

Actually, this factor was found in stage 2:

[CODE]GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, GWNUM 29.8, --enable-asm-redc, --enable-assert] [ECM]
Due to incompatible licenses, this binary file must not be distributed.
Input number is 2^2137-1 (644 digits)
Using B1=2900000000, B2=81712898767516, polynomial Dickson(30), sigma=0:8561132775016161148
Step 1 took 20559097ms
Step 2 took 12655697ms
********** Factor found in step 2:
434527865148151913428610180914321766584011558417928142522774921
Found prime factor of 63 digits:
434527865148151913428610180914321766584011558417928142522774921
Composite cofactor (2^2137-1)/434527865148151913428610180914321766584011558417928142522774921 has 581 digits[/CODE]

 James Heinrich 2020-09-02 12:34

[QUOTE=ryanp;555737]Actually, this factor was found in stage 2[/QUOTE]How do you generate the result line you submitted from that? Do you just hand-craft those when you find a factor?[quote]M2137 has a factor: 434527865148151913428610180914321766584011558417928142522774921 (ECM curve 1, B1=2900000000)[/quote]I have adjusted the mersenne.ca record to include B2 and Sigma, perhaps if there are future similar factors found you could ensure the B2 and Sigma are included in the submitted result line, like this:[quote]M2137 has a factor: 434527865148151913428610180914321766584011558417928142522774921 (ECM curve 1, B1=2900000000, B2=81712898767516, Sigma=8561132775016161148)[/quote]

 lycorn 2020-09-02 19:04

So it actually looks like only one curve was run.
It´s an amazing strike of luck to find a factor this size on curve #1...

 Viliam Furik 2020-09-02 19:05

Another member of 9-factor community

[M]M9532331[/M] has a 87.885 bit factor: [url=https://www.mersenne.ca/M9532331]285749678795460545168553689[/url]

I will try to push it to 10 factors.

 ryanp 2020-09-02 19:20

[QUOTE=lycorn;555796]So it actually looks like only one curve was run.
It´s an amazing strike of luck to find a factor this size on curve #1...[/QUOTE]

No, there were many more curves run. I just report them separately (offline) to George, from time to time...

 James Heinrich 2020-09-02 20:05

[QUOTE=James Heinrich;555756]perhaps if there are future similar factors found you could ensure the B2 and Sigma are included in the submitted result line, like this:[/QUOTE]Thank you Ryan! :smile:
[quote][m]M1999[/m] has a factor: 7452018296729329082588085050101877014364039300287 (ECM curve 1, B1=850000000, B2=15892628251516, Sigma=3085684570545921953)[/quote]

 Uncwilly 2020-09-02 20:19

[QUOTE=James Heinrich;555804]Thank you Ryan! :smile:
[QUOTE][M]1999[/M] has a factor:[/QUOTE][/QUOTE]
So, we have factors now totaling ~1/3 the total number of digits of the number (197/602). Very nice.

 firejuggler 2020-09-02 20:23

and factordb tell us it is FF [url]http://factordb.com/index.php?query=M1999[/url]

 petrw1 2020-09-03 02:15

2 big P1 factors found recently by the same CPU

[CODE]Speck 41033441 F-PM1 2020-08-31 06:41 Factor: 12701256943476787953365441980792492997353 / (P-1, B1=1000000, B2=20000000, E=12) === 133.222 bits

Speck 41029441 F-PM1 2020-08-24 10:42 Factor: 145135143123598692565245877677438002712525001 / (P-1, B1=1000000, B2=20000000, E=12) === 146.702 bits[/CODE]

 James Heinrich 2020-09-03 10:45

That's an impressive [url=https://www.mersenne.ca/pm1user/1221]Speck[/url]!
[M]M41029441[/M] has a 146.702 bit factor: [url=https://www.mersenne.ca/M41029441]145135143123598692565245877677438002712525001[/url]
[M]M41033441[/M] has a 133.222 bit factor: [url=https://www.mersenne.ca/M41033441]12701256943476787953365441980792492997353[/url]

I guess we just need to look at exponents in the form 410xx441 to find big P-1 factors? :)

 LaurV 2020-09-03 17:28

I am still continuing to beat you all with.... [URL="https://www.mersenne.org/report_exponent/?exp_lo=103901689&full=1"]composite factors[/URL], haha.
But I won't be picky about the double amount of credit :razz:

 petrw1 2020-09-03 20:08

[QUOTE=LaurV;555902]I am still continuing to beat you all with.... [URL="https://www.mersenne.org/report_exponent/?exp_lo=103901689&full=1"]composite factors[/URL], haha.
But I won't be picky about the double amount of credit :razz:[/QUOTE]

Feel free to come back to "the dark side" when you get bored.

 firejuggler 2020-09-04 11:50

[URL="https://www.mersenne.org/report_exponent/?exp_lo=107930453"][COLOR=black]M107930453[/COLOR][/URL] has a 77.779 bit factor : [URL="http://www.mersenne.ca/factor/259365338128498517663353"]259365338128498517663353[/URL] (note: found with P-1 with Colab)
The k is very low. it would have been found with a B1 @ 35111

 Jwb52z 2020-09-05 05:51

UID: Jwb52z/Clay, M100111807 has a factor: 5497876794406428536190503 (P-1, B1=820000),

82.185 bits.

 Uncwilly 2020-09-07 00:53

[QUOTE=Uncwilly;555649]Ryan found a 208 bit factor:[/QUOTE]
And another 200+ digit factor has arrived thanks to Ryan:
M[M]2083[/M] has a factor: [C]4188332412064506725391133958916461731585439326430544722593471[/C]
That brings it to 199 digits of known factors out of 628 digits. A known forumite is doing the PRP-CF.

 firejuggler 2020-09-07 00:57

But but but... factordb would quasi instantly tell you , for a Mp of this size. up to about M(8k) or M(9k)

 Uncwilly 2020-09-07 01:18

PrimeNet assigns it out anyway. The PRP will get done and a cert will get run soon.

 Uncwilly 2020-09-07 15:57

[QUOTE=Uncwilly;556292]PrimeNet assigns it out anyway. The PRP will get done and a cert will get run soon.[/QUOTE]And PrimeNet user "atrench" was impatient and did a PRP run that looks to be lacking in a VDF. So it will still need to be re-run.

 James Heinrich 2020-09-07 16:06

[QUOTE=Uncwilly;556336]And PrimeNet user "atrench" was impatient and did a PRP run that looks to be lacking in a VDF. So it will still need to be re-run.[/QUOTE]What is "VDF"?

 Uncwilly 2020-09-07 16:10

VDF = Verifiable Delay Function. It is the PRP thing that generates the certs.

 Prime95 2020-09-07 16:58

[QUOTE=Uncwilly;556336]And PrimeNet user "atrench" was impatient and did a PRP run that looks to be lacking in a VDF. So it will still need to be re-run.[/QUOTE]

VDF only kicks in for "larger" exponents. I think it is 100,000 or more.

 firejuggler 2020-09-07 17:22

it is where I would start

 petrw1 2020-09-09 05:07

2 Factors in same bit level.....

I believe this is my 7th in the last 6 years.

29060401 Factored

2020-09-09 Sid & Andy Factor: 4333636239825805123801 / TF: 71-72
2020-09-09 Sid & Andy Factor: 2773219337689395056809 / TF: 71-72

 Miszka 2020-09-11 07:15

[QUOTE=petrw1;556519]I believe this is my 7th in the last 6 years.

29060401 Factored

2020-09-09 Sid & Andy Factor: 4333636239825805123801 / TF: 71-72
2020-09-09 Sid & Andy Factor: 2773219337689395056809 / TF: 71-72[/QUOTE]
I'm fed up with a lot of double factors like that:
[URL="https://www.mersenne.org/report_exponent/?exp_lo=880000153&exp_hi=&full=1"]M880000153[/URL] (TF 78-79)
[URL="https://www.mersenne.org/report_exponent/?exp_lo=989000567&exp_hi=&full=1"]M989000567[/URL] (TF 77-78)

 Miszka 2020-09-11 07:25

[M]M3349033[/M] has a 201.952 bit composite factor: [url=https://www.mersenne.ca/M3349033]6217575158069946300914632364196267867798278947818161061977999[/url]
This is my second largest double factor.

 storm5510 2020-09-11 14:22

[QUOTE=Miszka;556705][M]M3349033[/M] has a 201.952 bit composite factor: [URL="https://www.mersenne.ca/M3349033"]6217575158069946300914632364196267867798278947818161061977999[/URL]
This is my second largest double factor.[/QUOTE]

61 digits. That's remarkable. :shock:

 firejuggler 2020-09-13 18:56

[FONT=Arial]M105006619 has a factor: 3114311268814618461112972838321 (P-1, B1=830000)
101.297 bits. I think it is one of my largest one found
[/FONT]

 James Heinrich 2020-09-13 19:18

[QUOTE=firejuggler;556899][M]M105006619[/M] has a 101.297-bit (31-digit) factor: [url=https://www.mersenne.ca/M105006619]3114311268814618461112972838321[/url] (P-1,B1=830000)
101.297 bits. I think it is one of my largest one found[/QUOTE]It hasn't shown up in the nightly data sync yet, but it would currently be [URL="https://www.mersenne.ca/pm1user/9092"]your biggest ever[/URL].
Congrats :smile:

 Jwb52z 2020-09-14 03:55

P-1 found a factor in stage #1, B1=820000.
UID: Jwb52z/Clay, M100140233 has a factor: 390077835803264014215583 (P-1, B1=820000),

78.368 bits. With that new 201 bit composite factor recently found, this one seems a bit paltry.

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