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M3 574 631 Mersenne number exponent details
is 2 3574631 - 1
has 1076072 decimal digits
takes 0.375 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LFCC015B27AFAAB71double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27066.846268.5714 %10000001303648501.22576.4603 %68.071970.6018 %
Target2640.995765.6250 %2000020000000.01951.9779 %1.015266.3049 %
Difference+6+65.8505+2.9464 %+980000+128364850+1.2062+4.4824%+67.0567+4.2969 %

Known prime factors (2 factors, 167.6 bits, 0.00468986% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
357463114783153159361742876732270.324206778729879556
22 × 51694682469889
2021-03-18451694682469889115.73428,921801,105
35746311978978655591835804929997049433097.32127680880286550357294641
79 × 1747 × 35951 × 70769 × 78832603
2022-05-2570769788326031.598e+100.66431.2217

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-09Carsten Kossendeymother20000245000--0.0051.725%
2011-12-23Squeeky_SquirrelP4_26008500015725006--0.0253.742%
2016-04-07USAFSSP4_260017500046812506--0.0645.223%
2017-05-13JossManual testing35000035000006--0.0795.307%
2022-03-01JossManual testing100000100000--0.0151.530%
2022-05-25JossManual testing10000013036485023097.3211.3028.071%
2022-08-26JossManual testing10000001000000--0.1523.958%
2022-09-13JossManual testing1000000130364850
skipped known factor: 197897865559183580492999704943
--1.45510.699%


Trial Factoring results:
5758596061626364656667686970
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.043
2009-03-14S485122USB-A2602610.043
2011-06-18markroldgamer2612620.086
2012-07-02GrunwalderGIMPManual testing212630.446
2016-02-23Mark RoseManual testing2622630.275
2015-01-30VictordeHollanderManual testing2632651.594
2016-02-26ramgeisManual testing2652662.090
2017-01-20Gordon SpenceManual testing2662674.181
2018-11-12TJAOIManual testing2672688.362
2020-12-22axnManual testing26826916.72
2021-03-18ANONYMOUSManual testing269271
70.324
22
55.15


ECM factoring results:
Total ECM effort:1.632 GHz-days
Estimated T-Level:2.308
DigitsB1CompleteFacMiss
20110000.46263.031%
25500000.04395.819%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.632


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-16foxkidv4_computersFCC015B27AFAAB710.375


PRP results:
dateuseridcompidcofactorsres64
2021-03-26krackerGRID-11
1478315315936174287673
93B26380885DB51C
2021-03-26ATHec2-PRPCF
1478315315936174287673
93B26380885DB51C
2022-05-31Poaooffice-CN2
1478315315936174287673
197897865559183580492999704943
93B26380885DB51C


CERT results:
dateuseridcompid
2021-03-26curtiscjckl2f11401l
2022-05-31Ember_EdisonMainServer


P-1 factor-bounds graph:
B1 = 1000000, B2 = 130364850 (P-1 stage 2)
B1 = 100000, B2 = 130364850 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 350000, B2 = 3500000 (P-1 stage 2)
B1 = 175000, B2 = 4681250 (P-1 stage 2)
B1 = 350000 (P-1 stage 1)
B1 = 175000 (P-1 stage 1)
B1 = 85000, B2 = 1572500 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 85000 (P-1 stage 1)
B1 = 20000, B2 = 245000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
100
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105
106
100
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1010
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1014
TF factor-bounds graph:
271
269
268
267
266
265
263
262
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260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=2.31 ~= -9-bit
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