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

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Exponent Range:










MnStatusDetails
634211Factored
FactorDigitsBitsDate
17851138744330740403532133534895803881935342137.02022-10-03 12:49:19
ECM
DigitsB1Curves
2550000280 / 280
30250000250 / 640
Estimated T-Level: 27.0
TF below 2^85 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David Slowinski1EA20
Verified (Factored)Ken Kriesel62907FE74D245EA20
Verified (Factored)Klaus Kastens62907FE74D245EA2461653
Verified (Factored)2015-04-11MadPoo62907FE74D245EA2159762
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2022-10-03masser1B8B235CE13526D0163216853
P-1 factors
DateFactorB1B2
2022-10-0317851138744330740403532133534895803881935351000000728120893500
History
DateUserTypeResult
2022-10-03tottenhoffCERT
PRP Certification
Proof certified good
2022-10-03masserC-PRP
M634211/178511387443307404035321335348958038819353 : 1B8B235CE13526D0
PRP proof power = 6
PRP: Verified
Proof certified good
2022-10-03masserF-PM1
Factor: 178511387443307404035321335348958038819353 / (P-1, B1=51000000, B2=728120893500)
2022-08-30masserNF-PP1
Start=2/7, B1=5100000, B2=219300000
2022-03-07LordJuliusNF
no factor from 2^54 to 2^55
2020-11-24Carlos PinhoNF-PM1
B1=45000, B2=1975000, E=6
2018-04-02Smok_bmv NF
no factor from 2^68 to 2^69
2017-09-21Smok_bmv NF
no factor from 2^67 to 2^68
2017-09-20Smok_bmv NF
no factor from 2^66 to 2^67
2017-07-20Smok_bmv NF
no factor from 2^65 to 2^66
2017-06-23Smok_bmv NF
no factor from 2^64 to 2^65
2015-11-14Sid & AndyNF-PM1
B1=6342110, B2=190263300, E=12
2015-10-13Gordon SpenceNF
no factor from 2^63 to 2^64
2015-10-13Gordon SpenceNF
no factor from 2^62 to 2^63
2015-06-06lycornNF
no factor from 2^61 to 2^62
2015-04-11MadPooC-LL
62907FE74D245EA2
2013-10-26David CampeauNF-PM1
B1=2080000, B2=70720000, E=12
2011-02-01JossNF-PM1
B1=2000000
2010-08-12Architects CubedNF
no factor from 2^60 to 2^61
2008-10-17Sturle SundeNF
no factor from 2^59 to 2^60
2008-10-17Sturle SundeNF
no factor from 2^58 to 2^59