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
3816767Factored
FactorDigitsBitsDate
2438204211878221448896812477.72021-01-03 17:25:48
ECM
DigitsB1Curves
255000012 / 280
Estimated T-Level: 20.2
TF below 2^62 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)Jim Mulvey8EFB8E490DA302650
Verified (Factored)1999-09-07Dan and Hannah Rubin8EFB8E490DA302653613730
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2021-01-03SRJ28775949D45B922912A6177044453
P-1 factors
DateFactorB1B2
2021-01-0324382042118782214488968115000000750000000
History
DateUserTypeResult
2022-05-24JossNF-PM1
B1=100000, B2=130364850
2022-03-22JossNF-PM1
B1=100000
2022-03-03JossNF-PM1
B1=90000
2021-01-03curtiscCERT
PRP Certification
Proof certified good
2021-01-03SRJ2877C-PRP
M3816767/243820421187822144889681 : 5949D45B922912A6
PRP proof power = 7
PRP: Verified
Proof certified good
2021-01-03axnF-PM1
Factor: 243820421187822144889681 / (P-1, B1=15000000, B2=750000000)
2020-10-26TJAOINF
no factor from 2^68 to 2^69
2018-10-08TJAOINF
no factor from 2^67 to 2^68
2016-11-17Gordon SpenceNF
no factor from 2^66 to 2^67
2016-08-14JossNF-PM1
B1=222393, B2=4447860, E=6
2016-03-05ramgeisNF
no factor from 2^65 to 2^66
2016-02-23Mark RoseNF
no factor from 2^62 to 2^63
2016-01-28JossNF-PM1
B1=222393, B2=2223930, E=6
2015-01-18VictordeHollanderNF
no factor from 2^64 to 2^65
2015-01-18VictordeHollanderNF
no factor from 2^63 to 2^64
2014-09-20JossNF-PM1
B1=81816
2012-03-23GrunwalderGIMPNF
no factor from 2^1 to 2^63
2011-11-03Squeeky_SquirrelNF-PM1
B1=65000, B2=1121250, E=6
2011-03-23markrNF
no factor from 2^61 to 2^62
2009-07-24Carsten KossendeyNF-PM1
B1=20000, B2=270000
2009-02-27S485122NF
no factor from 2^60 to 2^61