Marin Mersenne 2^P-1
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GIMPS
Finding World Record Primes Since 1996

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MnStatusDetails
7313759Factored
FactorDigitsBitsDate
536373675763231425924792375.52023-01-29 02:55:45
64107110351734905621930518379710054640139128.92023-01-29 02:55:45
ECM
DigitsB1Curves
25500006 / 280
Estimated T-Level: 20.1 ⓘ
TF below 2^62 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Bad1999-08-22Iven Yoon332E308BD6CAE1223504129
Verified (Factored)1999-12-08S05844A396F8BD205B0C792129282
Verified (Factored)2002-03-16John F. MooreA396F8BD205B0C794176418
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2023-02-03PerigE4BC475F65895D792220680153
P-1 factors
DateFactorB1B2
2023-01-2934385366421919155199885530560227591605801159549663446573118079320000010807226430
History
DateUserTypeResult
2023-02-03curtiscCERT
PRP Certification
Proof certified good
2023-02-03PerigC-PRP
M7313759/53637367576323142592479/641071103517349056219305183797100546401 : E4BC475F65895D79
PRP proof power = 8
PRP: Verified
Proof certified good
2023-01-29DRobinsonPEF-PM1
Factors: 53637367576323142592479,641071103517349056219305183797100546401 / (P-1, B1=3200000, B2=10807226430)
2021-10-13SRBaseNF
no factor from 2^71 to 2^72
2021-10-06Architects CubedNF-PM1
B1=256000, B2=10821000
2020-10-18GdSNF
no factor from 2^70 to 2^71
2020-10-18GdSNF
no factor from 2^69 to 2^70
2020-10-18GdSNF
no factor from 2^68 to 2^69
2018-08-05ramgeisNF
no factor from 2^67 to 2^68
2016-10-04Gordon SpenceNF
no factor from 2^66 to 2^67
2015-06-21VictordeHollanderNF
no factor from 2^65 to 2^66
2013-11-18David CampeauNF
no factor from 2^64 to 2^65
2013-10-28NesowaNF
no factor from 2^63 to 2^64
2012-03-03David CampeauNF-PM1
B1=115000, B2=2271250, E=6