Marin Mersenne 2^P-1
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MnStatusDetails
2167769Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
8978959312831462008598092479.62024-12-27 20:16:06
ECM
DigitsB1Curves
2550000280 / 280
30250000168 / 640
Estimated T-Level: 26.3
TF below 2^82 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)Shaun Griffith109231490FAF58410
Verified (Factored)1999-02-07Bryan Boggs109231490FAF5841581511
Verified (Factored)2018-04-11kkmrkkblmbrbk109231490FAF58411164336
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2024-12-27mikr72CF3E78A50ACFC6129079753
History
DateUserTypeResult
2024-12-28XyzzyCERT
PRP Certification
Proof certified good
2024-12-27mikrC-PRP
M2167769/897895931283146200859809 : 72CF3E78A50ACFC6
PRP proof power = 7
PRP: Verified
Proof certified good
2024-12-27mikrF-ECM
Factor: 897895931283146200859809 / (ECM curve 21, B1=100000, B2=147138915, Edwards Sigma=7881974613559859)
2022-12-26Architects CubedNF-PM1
B1=5000000, B2=9896994030
2021-07-15TJAOINF
no factor from 2^68 to 2^69
2019-05-06TJAOINF
no factor from 2^67 to 2^68
2018-04-11kkmrkkblmbrbkC-LL
109231490FAF5841
2018-01-13mikrNF-PM1
B1=2500000, B2=125000000, E=12
2017-09-05JossNF-PM1
B1=448824, B2=4488240, E=6
2016-11-10Gordon SpenceNF
no factor from 2^66 to 2^67
2016-03-05JossNF-PM1
B1=224412, B2=4039416, E=6
2016-02-23Mark RoseNF
no factor from 2^58 to 2^60
2015-12-30ramgeisNF
no factor from 2^65 to 2^66
2015-03-25VictordeHollanderNF
no factor from 2^64 to 2^65
2015-03-25VictordeHollanderNF
no factor from 2^63 to 2^64
2014-10-05JossNF-PM1
B1=149608
2013-01-23dbaughNF
no factor from 2^62 to 2^63
2011-01-21markrNF-PM1
B1=120000, B2=2370000, E=6
2011-01-15JossNF-PM1
B1=50000
2011-01-01JossNF-PM1
B1=30000
2010-11-03JossNF-PM1
B1=20000
2009-01-07Sturle SundeNF
no factor from 2^61 to 2^62
2009-01-04Sturle SundeNF
no factor from 2^60 to 2^61