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

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Exponent Range:










MnStatusDetails
3616621Factored
FactorDigitsBitsDate
563837659670576755441032375.62021-08-12 06:41:30
ECM
DigitsB1Curves
255000027 / 280
Estimated T-Level: 20.5
TF below 2^63 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)Roger Burton-West4E6C36BE13E436FE0
Bad1999-08-07Jonathan Champ938A6287F1FE236D477008
Verified (Factored)2000-02-01John Bafford4E6C36BE13E436FE3324121
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2021-08-12/r/counting1527596F2E1FA0161148060053
History
DateUserTypeResult
2022-05-25JossNF-PM1
B1=100000, B2=130364850
2022-03-22JossNF-PM1
B1=100000
2022-03-04JossNF-PM1
B1=90000
2021-08-13curtiscCERT
PRP Certification
Proof certified good
2021-08-12/r/countingC-PRP
M3616621/56383765967057675544103 : 1527596F2E1FA016
PRP proof power = 7
PRP: Verified
Proof certified good
2021-08-12MarkSF-ECM
Factor: 56383765967057675544103 / (ECM curve 5, B1=50000, B2=5000000, Sigma=8244342715138397)
2020-10-20axnNF
no factor from 2^68 to 2^69
2020-08-06axnNF-PM1
B1=30000000, B2=1000000000, E=12
2020-06-11axnNF-PM1
B1=30000000, B2=600000000, E=12
2018-11-26TJAOINF
no factor from 2^67 to 2^68
2016-12-23Gordon SpenceNF
no factor from 2^66 to 2^67
2016-02-23Mark RoseNF
no factor from 2^62 to 2^63
2015-10-18ramgeisNF
no factor from 2^65 to 2^66
2015-01-20VictordeHollanderNF
no factor from 2^64 to 2^65
2015-01-20VictordeHollanderNF
no factor from 2^63 to 2^64
2012-06-05GrunwalderGIMPNF
no factor from 2^1 to 2^63
2011-12-16markrNF-PM1
B1=240000, B2=6180000, E=12
2011-05-29markrNF
no factor from 2^61 to 2^62
2009-07-06Carsten KossendeyNF-PM1
B1=20000, B2=245000
2009-03-12S485122NF
no factor from 2^60 to 2^61