Marin Mersenne 2^P-1
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MnStatusDetails
3456737Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
3914089586154386017293132478.42021-06-28 03:44:26
ECM
DigitsB1Curves
255000033 / 280
Estimated T-Level: 20.6
TF below 2^63 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)1998-09-06Martín-Blas Pérez Pinilla8A5F5D543BA373EF0
Verified (Factored)1999-07-04Ethan O'Connor8A5F5D543BA373EF359864
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2021-06-29kutens5CA760D3D6EBB4A81189886153
History
DateUserTypeResult
2022-04-10JossNF-PM1
B1=1000000, B2=126668850
2021-06-29sloopsCERT
PRP Certification
Proof certified good
2021-06-29kutensC-PRP
M3456737/391408958615438601729313 : 5CA760D3D6EBB4A8
PRP proof power = 7
PRP: Verified
Proof certified good
2021-06-28daveward2005F-ECM
Factor: 391408958615438601729313 / (ECM curve 4, B1=50000, B2=5000000, Sigma=6259409476707237)
2021-01-06axnNF
no factor from 2^68 to 2^69
2019-02-11TJAOINF
no factor from 2^67 to 2^68
2017-02-08Gordon SpenceNF
no factor from 2^66 to 2^67
2016-02-23Mark RoseNF
no factor from 2^62 to 2^63
2015-04-17Gordon SpenceNF
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
2014-09-21HBendtzNF-PM1
B1=500000, B2=10000000, E=12
2014-08-21JossNF-PM1
B1=78568
2012-08-18GrunwalderGIMPNF
no factor from 2^1 to 2^63
2011-11-06USAFSSNF-PM1
B1=60000, B2=990000, E=6
2011-07-31markrNF
no factor to 2^62
2009-07-06Carsten KossendeyNF-PM1
B1=20000, B2=235000
2009-03-21S485122NF
no factor from 2^60 to 2^61