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

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Exponent Range:










MnStatusDetails
12549751Factored
FactorDigitsBitsDate
54623126554662981548475123563019652841800142138.62023-03-03 07:37:14
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)2001-06-03Tom Mossberg5AB3B53ACFA8680B4186010
Verified (Factored)2004-09-02Thomas Freeman5AB3B53ACFA8680B12087883
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2023-03-03Naegi MakotoB18175B053A2C5C51678241653
P-1 factors
DateFactorB1B2
2023-03-03546231265546629815484751235630196528418001300000012241447680
History
DateUserTypeResult
2023-03-03tanaydinCERT
PRP Certification
Proof certified good
2023-03-03Naegi MakotoC-PRP
M12549751/546231265546629815484751235630196528418001 : B18175B053A2C5C5
PRP proof power = 8
PRP: Verified
Proof certified good
2023-03-03Naegi MakotoF-PM1
Factor: 546231265546629815484751235630196528418001 / (P-1, B1=3000000, B2=12241447680)
2021-10-29-Anonymous-NF
no factor from 2^71 to 2^72
2021-08-28SRBaseNF
no factor from 2^70 to 2^71
2021-08-07SRBaseNF
no factor from 2^69 to 2^70
2019-01-14riccardo ubertiNF-PM1
B1=430000, B2=8500000, E=12
2017-12-16ramgeisNF
no factor from 2^68 to 2^69
2017-12-16ramgeisNF
no factor from 2^67 to 2^68
2015-03-23ThaNF
no factor from 2^66 to 2^67
2014-03-28NesowaNF
no factor from 2^65 to 2^66
2013-06-19lycornNF
no factor from 2^64 to 2^65