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
6981731Factored
FactorDigitsBitsDate
508822454557046995317112375.42021-12-07 18:36:01
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
Verified (Factored)1999-05-23EDNYAD78A3621177798C2270423
Verified (Factored)2001-10-25Alan VidmarAD78A3621177798C2878648
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2021-12-14_p95holder_86F6139DDA21A68F1220219953
Verified2021-12-16Joe S.86F6139DDA21A68F1532295253
P-1 factors
DateFactorB1B2
2021-12-07508822454557046995317112000000258849360
History
DateUserTypeResult
2021-12-16curtiscCERT
PRP Certification
Proof certified good
2021-12-16Joe S.C-PRP
M6981731/50882245455704699531711 : 86F6139DDA21A68F
PRP proof power = 8
PRP: Verified
Proof certified good
2021-12-14_p95holder_C-PRP
M6981731/50882245455704699531711 : 86F6139DDA21A68F
PRP: Verified
PRP without proof (not generated)
2021-12-07Seth_TrF-PM1
Factor: 50882245455704699531711 / (P-1, B1=2000000, B2=258849360)
2021-12-06Seth_TrNF-PM1
B1=2000000
2021-09-25SRBaseNF
no factor from 2^71 to 2^72
2021-09-06SRBaseNF
no factor from 2^70 to 2^71
2021-08-11takahashiNF
no factor from 2^69 to 2^70
2020-04-10TJAOINF
no factor from 2^68 to 2^69
2018-02-27-Anonymous-NF
no factor from 2^67 to 2^68
2016-04-26Gordon SpenceNF
no factor from 2^66 to 2^67
2015-07-03VictordeHollanderNF
no factor from 2^65 to 2^66
2014-02-14lycornNF
no factor from 2^64 to 2^65
2014-02-09NesowaNF
no factor from 2^63 to 2^64
2011-09-07Carsten KossendeyNF-PM1
B1=445000, B2=13683750, E=12