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-   -   Found a factor, sunshine? Embalm and entomb it here! (RU "Выкрасить и выбросить")) (https://www.mersenneforum.org/showthread.php?t=13977)

 nordi 2022-05-23 17:05

[M]M36919[/M] has a 180.968-bit (55-digit) factor: [URL="https://www.mersenne.ca/M36919"]2997347544642661833497896836795494793702018162645139063[/URL] (P-1,B1=2000000000,B2=401927737170960)

That gets me to the top of the [URL="https://www.mersenne.ca/userfactors/pm1/1/bits"]list of P-1 factors for Mersenne numbers[/URL]! And all thanks to the new version 30.8 of mprime.

:maybeso::wacky:

 James Heinrich 2022-05-23 17:12

:groupwave: :party:

 axn 2022-05-23 17:17

Nice!

 masser 2022-05-23 18:15

Wow! Congrats!

 charybdis 2022-05-23 18:47

[QUOTE=nordi;606342] That gets me to the top of the [URL="https://www.mersenne.ca/userfactors/pm1/1/bits"]list of P-1 factors for Mersenne numbers[/URL]! And all thanks to the new version 30.8 of mprime.[/QUOTE]

Congratulations!

This comes in at 10th place on the [URL="https://members.loria.fr/PZimmermann/records/Pminus1.html"]all-time P-1 list[/URL], i.e. not restricted to Mersennes. You should drop Paul Zimmermann an email; his address is on the page I linked.

 James Heinrich 2022-05-23 19:31

[QUOTE=charybdis;606354]This comes in at 10th place on the [URL="https://members.loria.fr/PZimmermann/records/Pminus1.html"]all-time P-1 list[/URL], i.e. not restricted to Mersennes. You should drop Paul Zimmermann an email; his address is on the page I linked.[/QUOTE]Record-size Mersenne factors are automatically reported to Paul Zimmerman (and Richard Brent for ECM) during the nightly data sync. The codepath for auto-reporting P-1 factors hasn't yet been tested (nobody has found a sufficiently large P-1 factor since I wrote the code in 2020) so tonight will be its test. Wouldn't hurt for [i]nordi[/i] to email him anyways.

 xilman 2022-05-23 20:35

[QUOTE=storm5510;603269]This is from GMP-ECM, and an error on my part:

[CODE]********** Factor found in step 2: 223
2022-04-04 09:43:03.243 Found prime factor of 3 digits: 223
2022-04-04 09:43:03.243 Composite cofactor (2^7363-1)/223 has 2215 digits[/CODE]

This is for M7363 which does not appear in any database I can find. I had intended M4363. Make of it what you will.[/QUOTE]Substantially beyond the limits of the 2- Cunningham table.

Don't let that stop you from trying to find more factors though.

 Batalov 2022-05-23 20:39

[QUOTE=nordi;606342][M]M36919[/M] has a 180.968-bit (55-digit) factor: [URL="https://www.mersenne.ca/M36919"]2997347544642661833497896836795494793702018162645139063[/URL] (P-1,B1=2000000000,B2=401927737170960)

That gets me to the top of the [URL="https://www.mersenne.ca/userfactors/pm1/1/bits"]list of P-1 factors for Mersenne numbers[/URL]! And all thanks to the new version 30.8 of mprime.
[/QUOTE]
That is indeed a good factor!

Cross-post it in the "([I]Preying for[/I]) World Record P-1" thread :rolleyes:

 xilman 2022-05-23 20:43

[QUOTE=xilman;606363]Substantially beyond the limits of the 2- Cunningham table.

Don't let that stop you from trying to find more factors though.[/QUOTE]For instance:
[code]
pcl@thoth:~/Astro/Misc$ecm 10000 GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM] (2^7363-1)/223 Input number is (2^7363-1)/223 (2215 digits) Using B1=10000, B2=1678960, polynomial x^1, sigma=0:17348063569600894463 Step 1 took 838ms Step 2 took 724ms ********** Factor found in step 2: 4816405503271 Found prime factor of 13 digits: 4816405503271 Composite cofactor ((2^7363-1)/223)/4816405503271 has 2202 digits ((2^7363-1)/223)/4816405503271 Input number is ((2^7363-1)/223)/4816405503271 (2202 digits) Using B1=10000, B2=1678960, polynomial x^1, sigma=0:17644336739200299761 Step 1 took 833ms ********** Factor found in step 1: 616318177 Found prime factor of 9 digits: 616318177 Composite cofactor (((2^7363-1)/223)/4816405503271)/616318177 has 2193 digits [/code]That was, of course, rather silly. Because we know that 7363 = 37*199 there are some obvious algebraic factors. It was easier for me to type in ((2^7363-1)/223)/4816405503271 than to perform the algebra.  Dr Sardonicus 2022-05-25 02:20 [QUOTE=xilman;606367]For instance: [code] pcl@thoth:~/Astro/Misc$ ecm 10000
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
(2^7363-1)/223
Input number is (2^7363-1)/223 (2215 digits)
Using B1=10000, B2=1678960, polynomial x^1, sigma=0:17348063569600894463
Step 1 took 838ms
Step 2 took 724ms
********** Factor found in step 2: 4816405503271
Found prime factor of 13 digits: 4816405503271
Composite cofactor ((2^7363-1)/223)/4816405503271 has 2202 digits
((2^7363-1)/223)/4816405503271
Input number is ((2^7363-1)/223)/4816405503271 (2202 digits)
Using B1=10000, B2=1678960, polynomial x^1, sigma=0:17644336739200299761
Step 1 took 833ms
********** Factor found in step 1: 616318177
Found prime factor of 9 digits: 616318177
Composite cofactor (((2^7363-1)/223)/4816405503271)/616318177 has 2193 digits

[/code]That was, of course, rather silly. Because we know that 7363 = 37*199 there are some obvious algebraic factors. It was easier for me to type in ((2^7363-1)/223)/4816405503271 than to perform the algebra.[/QUOTE]For an odd prime p, any prime factor q of 2^p - 1 is of the form 2*k*p+1, k integer; in particular, q > p.

This leads to a ludicrous proof of compositeness and factorization:

The fact that 223 divides 2^7363 - 1 though 223 < 7363 proves that 7363 is composite.

Factoring 223 - 1 or 222, we get the prime factors 2, 3, and 37. And 37 divides 7363, the quotient being 199.

Curiously, the factor 4816405503271 divides the "primitive part" (2^7363 - 1)/(2^37 - 1)/(2^199 - 1) of 2^7363 - 1. The cofactor (2^7363 - 1)/(2^37 - 1)/(2^199 - 1)/4816405503271 is composite.

 charybdis 2022-05-28 14:38

[QUOTE=James Heinrich;606358]Record-size Mersenne factors are automatically reported to Paul Zimmerman (and Richard Brent for ECM) during the nightly data sync. The codepath for auto-reporting P-1 factors hasn't yet been tested (nobody has found a sufficiently large P-1 factor since I wrote the code in 2020) so tonight will be its test. Wouldn't hurt for [i]nordi[/i] to email him anyways.[/QUOTE]

I see that Paul's list still hasn't ben updated. Did the code work correctly?

 James Heinrich 2022-05-28 14:40

[QUOTE=charybdis;606708]I see that Paul's list still hasn't ben updated. Did the code work correctly?[/QUOTE]It did, the email was sent, perhaps he's on vacation or something?

 charybdis 2022-05-31 02:06

[QUOTE=James Heinrich;606709]It did, the email was sent, perhaps he's on vacation or something?[/QUOTE]

Well there's a factor from 27 May on his top-10 ECM page for this year. Maybe he needs a nudge.

 James Heinrich 2022-05-31 02:08

[QUOTE=charybdis;606854]Well there's a factor from 27 May on his top-10 ECM page for this year. Maybe he needs a nudge.[/QUOTE]I talked to him earlier today, I imagine he will get the page updated sometime over the next few days.

 James Heinrich 2022-05-31 17:13

[QUOTE=James Heinrich;606855]I talked to him earlier today, I imagine he will get the page updated sometime over the next few days.[/QUOTE]He replied:[quote=Paul Zimmerman]for some reason I missed that report. It is now #10 on the list.
[url]https://members.loria.fr/PZimmermann/records/Pminus1.html[/url][/quote]

 Jwb52z 2022-06-05 02:16

P-1 found a factor in stage #1, B1=494000.
UID: Jwb52z/Clay, M115693873 has a factor: 1952359233750913828524289 (P-1, B1=494000)

80.691 bits.

 Denial140 2022-06-08 15:42

I've been running large P-1 on 4.96M to 4.97M without much luck (3 factors in 84 attempts, P-1 calculator predicts 12% increase in factor probability), with a success this morning! M4963463 has factor 740152403849563084825547533175743, 109.190 bits.

I've wondered whether these dry streaks are just bad luck, or if there is something wrong with my machine. I ran some P-1 tests that had previously found factors and all factors were found again, so I would expect not (maybe something tends to go wrong in the longer runs but not in the shorter ones?) Does anyone have any suggestions/ideas for how better to test?

 Batalov 2022-06-08 18:47

[QUOTE=Denial140;607349]I've wondered whether these dry streaks are just bad luck, or if there is something wrong with my machine.

Does anyone have any suggestions/ideas for how better to test?[/QUOTE]
The first question is valid, and the answer is - yes, both are possible.

Consider this analogy:
"I buy lottery tickets, fill in six numbers, and then scan them, and then wait to win. Sometimes I win twice in a row, and sometimes I have weeks and weeks without a win.
I've wondered whether these dry streaks are just bad luck, or if there is something wrong with my filling the tickets. Maybe my pen is broken, maybe I not filling the bubbles completely so that the lottery scanner cannot read them?"
Sure - both are possible.
Re: luck - Same as the poisson process of drawing a card from a deck and expect an ace. Sometimes you will draw two aces in a row, maybe even three, and sometimes you can draw 50 times and not get an ace.

For the second question - follow the analogy. Is there a better way to win in a lottery? Just like with the lottery, there are trivial solutions, for example with unlimited money buy _all_ the tickets, you will be guaranteed to win. Impractical though.

 Denial140 2022-06-08 19:20

[QUOTE=Batalov;607362]For the second question - follow the analogy. Is there a better way to win in a lottery? Just like with the lottery, there are trivial solutions, for example with unlimited money buy _all_ the tickets, you will be guaranteed to win. Impractical though.[/QUOTE]

Sorry, I was not clear - I mean specifically testing for machine errors without taking too long.

 Batalov 2022-06-08 20:47

Ah. Run the stability test (a.k.a. torture) - it is built in the program. Many folks run it once they have just built a new machine, for 24 - 48+ hours (best to run for several ambient temperature cycles - day/night. continuously). The key is - the code [I]knows [/I]the true answer so it can compare. *

It is hard to test otherwise (when answer is unknown).

____
* that actually reminded me to run that too, - summer is here. It is good to run the torture test at least once a year, too.

 BudgieJane 2022-06-14 09:15

[QUOTE=Batalov;607362]
For the second question - follow the analogy. Is there a better way to win in a lottery? Just like with the lottery, there are trivial solutions, for example with unlimited money buy _all_ the tickets, you will be guaranteed to win. Impractical though.[/QUOTE]

The best way to win the lottery is not to buy any tickets. That way you don't lose, and since the opposite of a loss is a win ...

 linament 2022-06-20 04:27

Two composite factors in a single day

I didn't think I was ever going to get a P-1 factor that I thought was worthy of posting here; but, today (PDT), I found [M]8879293[/M] has a composite factor, 1952505446389508559973390809501412786062062585404808923663962210457688947228452593 (270.042 bits):
[URL="https://www.mersenne.ca/factor/509948624278384111727110637486537527543"]509948624278384111727110637486537527543[/URL] (128.584 bits) and [URL="https://www.mersenne.ca/factor/3828827755251720703479206898096918957995351"]3828827755251720703479206898096918957995351[/URL] (141.458 bits)
Also found today, but slightly less impressive, I found [M]8859827[/M] has a composite factor, 35645538757884671884030612032344482636735761042071 (164.608 bits):
[URL="https://www.mersenne.ca/factor/39185475778814976961751"]39185475778814976961751[/URL] (75.053 bits) and [URL="https://www.mersenne.ca/factor/909662012504027897396320321"]909662012504027897396320321[/URL] (89.565 bits)
My first ever double composite in a single day.

 sweety439 2022-06-20 04:39

[QUOTE=linament;608140]I didn't think I was ever going to get a P-1 factor that I thought was worthy of posting here; but, today (PDT), I found [M]8879293[/M] has a composite factor, 1952505446389508559973390809501412786062062585404808923663962210457688947228452593 (270.042 bits):
[URL="https://www.mersenne.ca/factor/509948624278384111727110637486537527543"]50994862427838411172711063748653752754[/URL] (128.584 bits) and [URL="https://www.mersenne.ca/factor/3828827755251720703479206898096918957995351"]3828827755251720703479206898096918957995351[/URL] (141.458 bits)
Also found today, but slightly less impressive, I found [M]8859827[/M] has a composite factor, 3564553875788467188403061203234448263673576104207 (164.608 bits):
[URL="https://www.mersenne.ca/factor/39185475778814976961751"]39185475778814976961751[/URL] (75.053 bits) and [URL="https://www.mersenne.ca/factor/909662012504027897396320321"]909662012504027897396320321[/URL] (89.565 bits)
My first ever double composite in a single day.[/QUOTE]

 masser 2022-06-20 05:05

[QUOTE=linament;608140]I didn't think I was ever going to get a P-1 factor that I thought was worthy of posting here; but, today (PDT), I found [M]8879293[/M] has a composite factor, 1952505446389508559973390809501412786062062585404808923663962210457688947228452593 (270.042 bits):
[URL="https://www.mersenne.ca/factor/509948624278384111727110637486537527543"]50994862427838411172711063748653752754[/URL] (128.584 bits) and [URL="https://www.mersenne.ca/factor/3828827755251720703479206898096918957995351"]3828827755251720703479206898096918957995351[/URL] (141.458 bits)
Also found today, but slightly less impressive, I found [M]8859827[/M] has a composite factor, 3564553875788467188403061203234448263673576104207 (164.608 bits):
[URL="https://www.mersenne.ca/factor/39185475778814976961751"]39185475778814976961751[/URL] (75.053 bits) and [URL="https://www.mersenne.ca/factor/909662012504027897396320321"]909662012504027897396320321[/URL] (89.565 bits)
My first ever double composite in a single day.[/QUOTE]
:showoff::tu: - the larger factor is 43rd on the all time p-1 Mersenne factor list!

 tha 2022-06-20 15:16

Find of the day: [URL="https://www.mersenne.ca/exponent/9491897"]9491897[/URL]

145.7 bits, personal record.

 James Heinrich 2022-06-20 15:54

[QUOTE=tha;608161]Find of the day: [URL="https://www.mersenne.ca/exponent/9491897"]9491897[/URL] 145.7 bits, personal record.[/QUOTE]Impressive! :cool:

 tha 2022-06-20 22:31

[QUOTE=tha;608161]Find of the day: [URL="https://www.mersenne.ca/exponent/9491897"]9491897[/URL]

145.7 bits, personal record.[/QUOTE]

And a 127.6 bits find within 24 hours thereafter: [URL="https://www.mersenne.ca/exponent/9493151"]9493151[/URL]

 masser 2022-06-21 23:55

1 Attachment(s)
An absolute unit:

 James Heinrich 2022-06-22 00:20

[QUOTE=masser;608242]An absolute unit:[/QUOTE][M]M27506879[/M] has a 230.239-bit (70-digit) [b]composite[/b] (P22+P23+P26) factor: [url=https://www.mersenne.ca/M27506879]2036174125816121071359980479118739320526578640539327308453173168258209[/url] (P-1,B1=285000,B2=34496700)
Exponent had 3 previously-known factors, now it has 3 more for a total of 6. :smile:

 Jwb52z 2022-07-01 21:49

P-1 found a factor in stage #2, B1=495000, B2=14113000.
UID: Jwb52z/Clay, M115819853 has a factor: 389465490663842528068121 (P-1, B1=495000, B2=14113000)

78.366 bits.

 Jwb52z 2022-07-02 05:55

P-1 found a factor in stage #2, B1=490000, B2=13984000.
UID: Jwb52z/Clay, M114758353 has a factor: 3328576113941665489451567 (P-1, B1=490000, B2=13984000)

81.461 bits.

 Jwb52z 2022-07-14 23:39

P-1 found a factor in stage #1, B1=495000.
UID: Jwb52z/Clay, M115896083 has a factor: 57722400286012225410987976001 (P-1, B1=495000)

95.543 bits.

 Jwb52z 2022-07-19 23:44

P-1 found a factor in stage #1, B1=495000.
UID: Jwb52z/Clay, M115932499 has a factor: 31496057732563307067135799 (P-1, B1=495000)\

84.703 bits.

 Zhangrc 2022-07-26 07:17

[QUOTE=Jwb52z;608862]P-1 found a factor in stage #2, B1=490000, B2=13984000.
UID: Jwb52z/Clay, M114758353 has a factor: 3328576113941665489451567 (P-1, B1=490000, B2=13984000)

81.461 bits.[/QUOTE]

 Jwb52z 2022-07-27 18:51

P-1 found a factor in stage #2, B1=495000, B2=14132000.
UID: Jwb52z/Clay, M115980679 has a factor: 35021896406377410743734681239671 (P-1, B1=495000, B2=14132000)

104.788 bits.

 James Heinrich 2022-07-27 21:33

 retina 2022-07-28 02:39

[QUOTE=BudgieJane;607805]The best way to win the lottery is not to buy any tickets.[/QUOTE]The best way to win is to run the lottery and sell tickets.

Or, if there are oppressive laws in your area that forbid you doing that, then rig it in your favour, or bribe the programmer, or similar.

 Dr Sardonicus 2022-07-28 17:04

[QUOTE=retina;610368]The best way to win is to run the lottery and sell tickets.

Or, if there are oppressive laws in your area that forbid you doing that, then rig it in your favour, or bribe the programmer, or similar.[/QUOTE]This brings to mind a criminal case I'd heard about some years back.

Found it. The following news story from January 2022 is about the case.

[url=https://iowacapitaldispatch.com/2022/01/27/lottery-scams-alleged-mastermind-is-paroled-after-4-1-2-years-in-prison/]Lottery scam's alleged mastermind is paroled after 4 1/2 years in prison[/url][quote]<snip>
The Iowa Board of Parole has approved the release of Eddie Tipton, the former information security director of the Multi-State Lottery Association based in Urbandale. Tipton was arrested in 2015 and accused of installing computer code on lottery computers that allowed him to predict the winning numbers.

His efforts to rig the drawings were uncovered after Iowa Lottery officials grew suspicious over an anonymous attempt to claim a $16.5 million Hot Lotto jackpot. They eventually linked Tipton, his brother, Tommy, and a longtime friend, Robert Rhodes, to suspicious winnings claimed in five states. <snip>[/quote]  harlee 2022-08-01 22:04 P-1 found a factor in stage #2, B1=1000000, B2=354388650 on a Mac OS X 64-bit,v30.8,build 15 UID: harlee/i5-5250U_1600, M[URL="https://www.mersenne.ca/exponent/7978781"]7978781[/URL] has a factor: 3972308628969248687924140052597030897 (P-1, B1=1000000, B2=354388650) 121.579 bits  harlee 2022-08-01 22:15 P-1 found a factor in stage #2, B1=660000, B2=53460000 UID: harlee/i5-5250U_1600, M[URL="https://www.mersenne.ca/exponent/8051803"]8051803 [/URL]has a factor: 3659124125202063740433468127527432673 (P-1, B1=660000, B2=53460000), 121.461 bits  Jwb52z 2022-08-11 20:56 P-1 found a factor in stage #2, B1=488000, B2=12420000. UID: Jwb52z/Clay, M116162087 has a factor: 63220472344899739179621176191 (P-1, B1=488000, B2=12420000) 95.674 bits.  Jan S 2022-08-14 14:43 P-1 found a factor [M]61744549[/M], B1=2000000, B2=60000000 168075055153451148339566602297- 97.085 bits My biggest factor found using GPUOwl.  Jwb52z 2022-08-16 19:15 P-1 found a factor in stage #1, B1=488000. UID: Jwb52z/Clay, M116192023 has a factor: 1895859600667444048713860449 (P-1, B1=488000} 90.615 bits  Denial140 2022-08-17 23:56 ECM found a factor in curve #27, stage #2 Sigma=8224392319313050, B1=50000, B2=117709515. M2223281 has a factor: 270242207010285199568677607 (ECM curve 27, B1=50000, B2=117709515) The group order calculator on factordb seems to be down right at the moment, but this was about 3 curves from finishing t25. 1 down from 2.22M, 11 more to go :)  LaurV 2022-08-18 05:03 [QUOTE=Denial140;611663]1 down from 2.22M, 11 more to go[/QUOTE] Congrats! :party: I hammered that interval with P-1, P+1, and ECM (not all results reported, but P-1 was reported all) till my keyboard was hurting ...  Denial140 2022-08-18 12:05 Do you know roughly how much ECM you did? Wondering if I should just move to t30 bounds straight away  LaurV 2022-08-19 02:31 Looking to the full stats, with ECM history turned ON, ([URL="https://www.mersenne.org/report_exponent/?exp_lo=2220000&exp_hi=2230000&full=1&ecmhist=1"]here[/URL]), I think you should! It may take longer per candidate, and it may take longer to churn ALL the range, but IF there are still 11 factors there to be found under 30-35 digits, and your intention is to stop after founding them, then you may get luckier with higher ECM boundaries.  Zhangrc 2022-08-20 11:38 [QUOTE=Jwb52z;611229]P-1 found a factor in stage #2, B1=488000, B2=12420000. UID: Jwb52z/Clay, M116162087 has a factor: 63220472344899739179621176191 (P-1, B1=488000, B2=12420000) 95.674 bits.[/QUOTE] You seemed to have given Prime95 very little memory. If my guess is correct, you gave no more than 3GB to Prime95, so even v30.8 could not help.  Prime95 2022-08-20 18:04 A personal best: M96281 Factor: 1932964842504334487497426969214870710558093976608197223 / (P-1, B1=1000000000, B2=70541506035000)  Miszka 2022-08-20 18:08 [QUOTE=Prime95;611791]A personal best: M96281 Factor: 1932964842504334487497426969214870710558093976608197223 / (P-1, B1=1000000000, B2=70541506035000)[/QUOTE] This is probably the largest factor found using the P-1 method. Congratulations.  charybdis 2022-08-20 18:29 [QUOTE=Miszka;611792]This is probably the largest factor found using the P-1 method. Congratulations.[/QUOTE] Not even close. It just misses out on the [URL="https://members.loria.fr/PZimmermann/records/Pminus1.html"]all-time top 10[/URL]. It's [URL="https://www.mersenne.ca/userfactors/pm1/1/bits"]2nd place[/URL] for GIMPS, as you would find out if you [URL="https://mersenneforum.org/showthread.php?p=606342"]read a bit further back in this thread[/URL]. And yes, congrats George!  Jwb52z 2022-08-21 04:54 P-1 found a factor in stage #1, B1=478000. UID: Jwb52z/Clay, M115938923 has a factor: 537366952842508263782407 (P-1, B1=478000) 78.830 bits.  Jwb52z 2022-08-21 04:59 [QUOTE=Zhangrc;611779]You seemed to have given Prime95 very little memory. If my guess is correct, you gave no more than 3GB to Prime95, so even v30.8 could not help.[/QUOTE]I didn't tell it anything specific. It just runs when I start it. I don't remember ever having to manually do anything with the program. If I did, it was a long time ago.  harlee 2022-08-21 12:08 [URL="https://www.mersenne.ca/exponent/2808107"]M2808107[/URL] has a factor: 7900095067082114257729144052680503930041434607 (P-1, B1=288000, B2=226423890) (152.469 bits) Composite factor 7900095067082114257729144052680503930041434607 = 34629566657233801103447449 * 228131502345319020743 228131502345319020743 (67.628 bits) 34629566657233801103447449 (84.840)  harlee 2022-08-21 12:16 P-1 found a factor in stage #2, P-1, B1=240000, B2=199861200 UID: harlee/i5-4250U_1400, [URL="https://www.mersenne.ca/exponent/2520769"]M2520769[/URL] has a factor: 60124728585112875608389059125941476926701494031 (P-1, B1=240000, B2=199861200) 117.027 bits  James Heinrich 2022-08-21 13:14 [QUOTE=Jwb52z;611803]I didn't tell it anything specific. It just runs when I start it. I don't remember ever having to manually do anything with the program. If I did, it was a long time ago.[/QUOTE]You configured it at some point, when you first set it up at least. Look under [c]Options[/c] | [c]Resource Limits...[/c] to adjust RAM allocation. Give it as much RAM as your system can spare if you're running a lot of P-1.  Jwb52z 2022-08-22 16:31 [QUOTE=James Heinrich;611817]You configured it at some point, when you first set it up at least. Look under [c]Options[/c] | [c]Resource Limits...[/c] to adjust RAM allocation. Give it as much RAM as your system can spare if you're running a lot of P-1.[/QUOTE]I know you're right. It's just been so long ago that I don't remember. It seems like I've been doing P-1 for eons at this point, almost.  harlee 2022-08-23 19:36 P-1 found a factor in stage #2, B1=360000, B2=287380170. UID: harlee/i5-5250U_1600, [URL="https://www.mersenne.ca/exponent/2815973"]M2815973[/URL] has a factor: 11672920406200685639902050095393647 (P-1, B1=360000, B2=287380170) 113.169 bits  harlee 2022-08-23 19:39 P-1 found a factor in stage #2, B1=360000, B2=287380170. UID: harlee/i5-5250U_1600, [URL="https://www.mersenne.ca/exponent/2816531"]M2816531[/URL] has a factor: 50729506820571357856538424090529 (P-1, B1=360000, B2=287380170) 105.323 bits  Uncwilly 2022-08-23 19:50 Nice factors.  Jwb52z 2022-09-03 15:57 P-1 found a factor in stage #2, B1=531000, B2=18398700. UID: Jwb52z/Clay, M116315461 has a factor: 1387359370023077886864307817 (P-1, B1=531000, B2=18398700) 90.164 bits.  Magellan3s 2022-09-04 22:21 Considering how difficult it is to find these things I found M113584333 has a factor 379142023560151219679657 M113588197 has a factor 360575079671909658893081 Both were found using a GPU requiring 538 Ghz-Days.  James Heinrich 2022-09-04 22:28 [QUOTE=Magellan3s;612702][M]M113584333[/M] has a 78.327-bit (24-digit) factor: [url=https://www.mersenne.ca/M113584333]379142023560151219679657[/url] [M]M113588197[/M] has a 78.255-bit (24-digit) factor: [url=https://www.mersenne.ca/M113588197]360575079671909658893081[/url][/QUOTE]It does kind of beg the question why TF'ing to 79 on exponents normally TF'd to 76?  Magellan3s 2022-09-05 00:21 [QUOTE=James Heinrich;612704]It does kind of beg the question why TF'ing to 79 on exponents normally TF'd to 76?[/QUOTE] It's been a while but I "THINK" it was assigned to me by PrimeNet gimps.  techn1ciaN 2022-09-06 00:53 M[M]116356027[/M] has an 83-bit P-1 factor: 9018696917848728234142951 My first factor with the new 30.8 P-1, although as a stage 1 find, it doesn't really count. I'll have to post again when I find a stage 2 factor, especially one that wouldn't have been found with a <30.8 B2.  Jwb52z 2022-09-06 17:05 P-1 found a factor in stage #2, B1=531000, B2=18401550. UID: Jwb52z/Clay, M116344769 has a factor: 7508117140003171615805183 (P-1, B1=531000, B2=18401550) 82.635 bits.  masser 2022-09-16 01:04 [CA]615019[/CA] Near miss on the prior P-1 effort AND ecm missed this one.  SuikaPredator 2022-09-16 17:22 M115805527 has a factor: 677697503509919022558931969 (P-1, B1=495000, B2=12976000) 89.131 bits The only factor found in my previous ~180 factoring attempts  Jwb52z 2022-09-20 05:19 P-1 found a factor in stage #2, B1=531000, B2=18418350. UID: Jwb52z/Clay, M116443783 has a factor: 82696735044909751763113583 (P-1, B1=531000, B2=18418350) 86.096 bits.  Jwb52z 2022-09-25 21:23 P-1 found a factor in stage #2, B1=532000, B2=18423900. UID: Jwb52z/Clay, M116482291 has a factor: 20599239462162799560243380417 (P-1, B1=532000, B2=18423900) 94.057 bits.  Stef42 2022-09-28 12:02 [URL="https://www.mersenne.org/report_exponent/?exp_lo=272003&full=1"]M272003[/URL] - Factor: 572558879190121609764720501761921 (108.819 bits) My 2nd largest ECM-factor found thus far.  Jwb52z 2022-09-28 23:32 P-1 found a factor in stage #2, B1=532000, B2=18426750. UID: Jwb52z/Clay, M116499679 has a factor: 1360916709713170590578566863745659001678613741993 (P-1, B1=532000, B2=18426750) 159.897 bits. It's a composite factor, though: Here's the link on Mersenne.ca web site that lists the two prime factors that make it up: [url]https://www.mersenne.ca/exponent/116499679[/url]  Jwb52z 2022-09-29 20:23 P-1 found a factor in stage #1, B1=521000. UID: Jwb52z/Clay, M116053921 has a factor: 46515908802837469539326609 (P-1, B1=521000) 85.266 bits.  Denial140 2022-10-04 06:54 P-1 found a factor in stage #2, B1=50000000, B2=160135168050. M4968559 has a factor: 4518377100979343670213622713401394014756052836040689096521220599831 (P-1, B1=50000000, B2=160135168050) Of course, a composite factor, but one of the prime factors is rather impressive too: [$]4518377100979343670213622713401394014756052836040689096521220599831 = 2024609142059135603124721 \times 2231728093642762521609553280152576514699911[/\$].

The larger of these is 43 digits putting it at 59th on [URL="https://www.mersenne.ca/userfactors/pm1/1/bits"]the top Mersenne factors list[/URL] for P-1, and 382nd overall. My first in the top 500 for either :)

 James Heinrich 2022-10-04 13:33

[QUOTE=Denial140;614907][M]M4968559[/M] has a 221.423-bit (67-digit) [b]composite[/b] (P25+P43) factor: [url=https://www.mersenne.ca/M4968559]4518377100979343670213622713401394014756052836040689096521220599831[/url] (P-1,B1=50000000,B2=160135168050)[/QUOTE]Congrats, nice find! [SIZE="1"](I reformatted your result for easier reading with [url=https://www.mersenne.ca/json2bbcode.php]this tool[/url])[/SIZE]
The P43 inside your composite is far bigger than any factor I've ever found.

 Runtime Error 2022-10-04 21:37

I am very happy about this factor, even if it is composite. And that candidate already had some low P-1 done on it, which makes it feel even more rewarding.

[M]M112259701[/M] has a 193.882-bit (59-digit) [b]composite[/b] (P25+P34) factor: [url=https://www.mersenne.ca/M112259701]23141826223471609689663383919640272913859192422380792607727[/url] (P-1,B1=1237000,B2=417486300)

 mrh 2022-10-04 21:54

[QUOTE=Runtime Error;614949]I am very happy about this factor, even if it is composite. And that candidate already had some low P-1 done on it, which makes it feel even more rewarding.

[M]M112259701[/M] has a 193.882-bit (59-digit) [b]composite[/b] (P25+P34) factor: [url=https://www.mersenne.ca/M112259701]23141826223471609689663383919640272913859192422380792607727[/url] (P-1,B1=1237000,B2=417486300)[/QUOTE]

That is a nice one!

 Jwb52z 2022-10-12 00:39

P-1 found a factor in stage #1, B1=532000.
UID: Jwb52z/Clay, M116569127 has a factor: 266249286413989795278289 (P-1, B1=532000)

77.817 bits.

 James Heinrich 2022-10-14 18:06

[M]M29912549[/M] has a 187.551-bit (57-digit) [b]composite[/b] (P26+P32) factor: [url=https://www.mersenne.ca/M29912549]287459891648315148823191561314349116044826697280023403343[/url] (P-1,B1=1040000,B2=822096990)

 Denial140 2022-10-26 08:33

[M]M2223391[/M] has a factor: 443333026740484658443526761

27 digits, ECM curve 6 at B1=250K

9 to go :)

 Jwb52z 2022-10-27 18:28

P-1 found a factor in stage #2, B1=533000, B2=18463050.
UID: Jwb52z/Clay, M116726293 has a factor: 422214145469417013596137 (P-1, B1=533000, B2=18463050)

78.482 bits.

 Jwb52z 2022-10-29 20:31

P-1 found a factor in stage #1, B1=533000.
UID: Jwb52z/Clay, M116736877 has a factor: 1009149511161291233295431 (P-1, B1=533000)

79.739 bits.

 harlee 2022-10-31 22:54

P-1 found a factor in stage #2, B1=650000, B2=730452492.
UID: harlee/i5-5250U_1600, M[URL="https://www.mersenne.ca/exponent/1964659"]1964659 [/URL]has a factor: 2871582950246945708021469878076620907631 (P-1, B1=650000, B2=730452492)

131.077 bits - should be around #204 on the Top 500 P-1 factors of all time

 Jwb52z 2022-11-03 17:14

P-1 found a factor in stage #2, B1=524000, B2=18373500.
UID: Jwb52z/Clay, M116761429 has a factor: 69604789456343338573961279 (P-1, B1=524000, B2=18373500)

85.847 bits.

 mrh 2022-11-10 02:31

[M]M85324777[/M] has a 166-bit composite factor:

[M]M85324777[/M] has a 85.156-bit (26-digit) factor: [url=https://www.mersenne.ca/M85324777]43094916270713943094625681[/url] (P-1,B1=582000,B2=678423900)
[M]M85324777[/M] has a 80.869-bit (25-digit) factor: [url=https://www.mersenne.ca/M85324777]2207283582140433613611281[/url] (P-1,B1=582000,B2=678423900)

 Rubiksmath 2022-11-11 07:52

Got my first ECM factor today, incidentally the same day I finished final exams for school.
173734333693076265170382473 divides M222613.
Interesting that it was a 27 digit factor, the ECM effort ran on that number before my attempts had the FacMiss of a 25 digit factor of 0.01%, don't know how that translates to 27 digits but I imagine not more than a few percent. So I guess a bit lucky that an easy factor existed and had yet to be found and was mine for the taking, the t35 sized curves found it pretty quick.

 Jwb52z 2022-11-13 06:55

P-1 found a factor in stage #2, B1=525000, B2=18387450.
UID: Jwb52z/Clay, M116859733 has a factor: 234948870515848091653027807 (P-1, B1=525000, B2=18387450)

87.602 bits.

 Jwb52z 2022-11-17 05:40

P-1 found a factor in stage #1, B1=525000.
UID: Jwb52z/Clay, M116910499 has a factor: 10142756700209147250798455167 (P-1, B1=525000)

93.034 bits.

 Jan S 2022-12-01 14:20

P-1 found a factor

[M]113400899[/M] B1=817000; B2=245673120

590665882916839121138706341173871

108.864 bits

 Naegi Makoto 2022-12-01 16:02

[URL="https://www.mersenne.org/report_exponent/?exp_lo=1652741&full=1"]1652741[/URL] B1=25000000; B2=611144523990

29453891029745804067011725741823707735606573599983929

174.299 bits :smile:

 Miszka 2022-12-01 19:34

[QUOTE=Naegi Makoto;618796][URL="https://www.mersenne.org/report_exponent/?exp_lo=1652741&full=1"]1652741[/URL] B1=25000000; B2=611144523990

29453891029745804067011725741823707735606573599983929

174.299 bits :smile:[/QUOTE]

:bow wave:

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