Marin Mersenne 2^P-1
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MnStatusDetails
3471331Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
188897365276336460535132374.02021-09-01 03:40:10
ECM
DigitsB1Curves
255000039 / 280
Estimated T-Level: 20.7
TF below 2^64 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)1998-09-20nmainer8AE8D2BFB5044D2D0
Verified (Factored)1999-07-04Mark D. Rockman8AE8D2BFB5044D2D641212
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2021-09-13Nesowa2E7B8BF65039D4061116494453
Verified2021-09-17LaurV2E7B8BF65039D406151186953
History
DateUserTypeResult
2022-01-21JossNF-PM1
B1=1000000, B2=114656850
2021-09-17curtiscCERT
PRP Certification
Proof certified good
2021-09-17LaurVC-PRP
M3471331/18889736527633646053513 : 2E7B8BF65039D406
PRP proof power = 7
PRP: Verified
Proof certified good
2021-09-13NesowaC-PRP
M3471331/18889736527633646053513 : 2E7B8BF65039D406
PRP: Verified
PRP without proof (not generated)
2021-09-01Alvin BunkF-ECM
Factor: 18889736527633646053513 / (ECM curve 2, B1=50000, B2=5000000, Sigma=6311653268550742)
2021-01-09axnNF
no factor from 2^68 to 2^69
2019-01-07TJAOINF
no factor from 2^67 to 2^68
2017-02-15Gordon SpenceNF
no factor from 2^66 to 2^67
2016-02-23Mark RoseNF
no factor from 2^62 to 2^63
2016-01-04ramgeisNF
no factor from 2^65 to 2^66
2015-02-07VictordeHollanderNF
no factor from 2^64 to 2^65
2015-02-07VictordeHollanderNF
no factor from 2^63 to 2^64
2014-09-25HBendtzNF-PM1
B1=500000, B2=10000000, E=12
2014-08-21JossNF-PM1
B1=78490
2012-08-18GrunwalderGIMPNF
no factor from 2^1 to 2^63
2011-11-11USAFSSNF-PM1
B1=60000, B2=990000, E=6
2011-07-28Grant McCrackenNF
no factor from 2^61 to 2^62
2009-07-06Carsten KossendeyNF-PM1
B1=20000, B2=235000
2009-03-20S485122NF
no factor from 2^60 to 2^61