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
17586277Factored
FactorDigitsBitsDate
21798122219957082650519882081483309637187342137.32022-02-04 14:09:01
ECM
DigitsB1Curves
25500001 / 280
Estimated T-Level: 20.0 ⓘ
TF below 2^61 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)2003-02-09Willamette MathematicsC0886E4EAA59F23B9770171
Verified (Factored)2006-11-09Robert TjiaC0886E4EAA59F23B4554037
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2022-08-21Naegi MakotoFADD813C3D8E607411631125253
P-1 factors
DateFactorB1B2
2022-02-0421798122219957082650519882081483309637187363600031758000
History
DateUserTypeResult
2022-08-21thiagoarreguyCERT
PRP Certification
Proof certified good
2022-08-21Naegi MakotoC-PRP
M17586277/217981222199570826505198820814833096371873 : FADD813C3D8E6074
PRP proof power = 8
PRP: Verified
Proof certified good
2022-02-04Architects CubedF-PM1
Factor: 217981222199570826505198820814833096371873 / (P-1, B1=636000, B2=31758000)
2022-01-11TheJudgerNF
no factor from 2^73 to 2^74
2021-11-15RichD0NF
no factor from 2^72 to 2^73
2021-09-20-Anonymous-NF
no factor from 2^71 to 2^72
2021-09-10SRBaseNF
no factor from 2^70 to 2^71
2020-04-18lycornNF
no factor from 2^69 to 2^70
2018-02-18ramgeisNF
no factor from 2^68 to 2^69
2018-02-18ramgeisNF
no factor from 2^67 to 2^68
2016-03-19Mark RoseNF
no factor from 2^65 to 2^66
2014-08-30NesowaNF
no factor from 2^66 to 2^67