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
6935287Factored
FactorDigitsBitsDate
3153239467974643050174193032788.02023-08-11 18:45:15
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)2000-01-25C. Cooper / S. BooneB66A8B348564FA6D2568169
Verified (Factored)2002-01-28Jose Manuel GarciaB66A8B348564FA6D5177540
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2023-08-12Naegi Makoto9084808CE3ECDF021587554953
P-1 factors
DateFactorB1B2
2023-08-1131532394679746430501741930335000009616446840
History
DateUserTypeResult
2023-08-12slandrumCERT
PRP Certification
Proof certified good
2023-08-12Naegi MakotoC-PRP
M6935287/315323946797464305017419303 : 9084808CE3ECDF02
PRP proof power = 8
PRP: Verified
Proof certified good
2023-08-11ThaF-PM1
Factor: 315323946797464305017419303 / (P-1, B1=3500000, B2=9616446840)
2021-09-26SRBaseNF
no factor from 2^71 to 2^72
2021-08-11SRBaseNF
no factor from 2^70 to 2^71
2021-07-24takahashiNF
no factor from 2^69 to 2^70
2021-06-02Dylan DelgadoNF-PM1
B1=720000, B2=21600000, e=12
2020-05-01TJAOINF
no factor from 2^68 to 2^69
2020-01-16takahashiNF-PM1
B1=600000, B2=12000000, E=12
2018-02-27-Anonymous-NF
no factor from 2^67 to 2^68
2016-04-03Gordon SpenceNF
no factor from 2^66 to 2^67
2015-06-26VictordeHollanderNF
no factor from 2^65 to 2^66
2014-02-16lycornNF
no factor from 2^64 to 2^65
2014-02-09NesowaNF
no factor from 2^63 to 2^64
2011-11-24James HeinrichNF-PM1
B1=130000, B2=2827500, E=6