Marin Mersenne 2^P-1
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Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

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Exponent Range:










MnStatusDetails
11321579Factored
FactorDigitsBitsDate
6738415674590030076631710335568842151756141135.62021-10-21 08:15:22
ECM
DigitsB1Curves
25500002 / 280
Estimated T-Level: 20.0 ⓘ
TF below 2^62 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)2002-02-10Gatis CielavaC0331E8701BE490611011462
Verified (Factored)2004-02-07Marc GettyC0331E8701BE490610254185
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2021-10-22LaurVD2BBE79A09E57A61182093853
P-1 factors
DateFactorB1B2
2021-10-21673841567459003007663171033556884215175616189107185673210
History
DateUserTypeResult
2021-10-23-Anonymous-NF
no factor from 2^71 to 2^72
2021-10-22bernardo_sCERT
PRP Certification
Proof certified good
2021-10-22LaurVC-PRP
M11321579/67384156745900300766317103355688421517561 : D2BBE79A09E57A61
PRP proof power = 8
PRP: Verified
Proof certified good
2021-10-21LaurVF-PM1
Factor: 67384156745900300766317103355688421517561 / (P-1, B1=6189107, B2=185673210)
2021-08-14SRBaseNF
no factor from 2^70 to 2^71
2021-08-06SRBaseNF
no factor from 2^69 to 2^70
2017-12-27ramgeisNF
no factor from 2^68 to 2^69
2017-12-27ramgeisNF
no factor from 2^67 to 2^68
2016-01-04VictordeHollanderNF
no factor from 2^66 to 2^67
2015-02-17NumberwangNF
no factor from 2^65 to 2^66
2014-06-02HBendtzNF-PM1
B1=600000, B2=12000000, e=12
2013-11-20lycornNF
no factor from 2^64 to 2^65