Marin Mersenne 2^P-1
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MnStatusDetails
343411Composite, with 2 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
4193407438314740332868990172788.42019-03-31 10:12:51
5779064400659915303992208089890704935115.52025-03-13 08:49:23
ECM
DigitsB1Curves
2550000280 / 280
30250000541 / 640
Estimated T-Level: 29.2 ⓘ
TF below 2^92 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David Slowinski1CB10
Verified (Factored)Unknown5CB10
Verified (Factored)Guillermo Ballester ValorED8B2CEF5EE2DCB10
Verified (Factored)Eivind TrielED8B2CEF5EE2DCB1159262
Verified (Factored)2002-01-22Dennis PopeED8B2CEF5EE2DCB1226675
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified (Factored)2019-04-01artorolloB811CE5D104057B317107053
Verified (Factored)2019-04-01ATHB811CE5D104057B3127995653
Verified2025-03-13Oliver KruseB811CE5D104057B3219682753
History
DateUserTypeResult
2025-03-13mattashiiCERT
PRP Certification
Proof certified good
2025-03-13Oliver KruseC-PRP
M343411/419340743831474033286899017/57790644006599153039922080898907049 : B811CE5D104057B3
PRP proof power = 5
PRP: Verified
Proof certified good
2025-03-13Oliver KruseF-ECM
Factor: 57790644006599153039922080898907049 / (ECM curve 45, B1=597139, B2=1026481941, Edwards Sigma=9005737683411654)
2022-03-07LordJuliusNF
no factor from 2^54 to 2^55
2019-04-01ATHC-PRP
M343411/419340743831474033286899017 : B811CE5D104057B3
PRP: Verified (Factored)
PRP without proof (small exponent)
2019-04-01artorolloC-PRP
M343411/419340743831474033286899017 : B811CE5D104057B3
PRP: Verified (Factored)
PRP without proof (small exponent)
2019-03-31alexF-ECM
Factor: 419340743831474033286899017 / (ECM curve 45, B1=250000, B2=25000000, Sigma=1886592825042206)
2018-02-16Gordon SpenceNF
no factor from 2^64 to 2^65
2016-10-15mikrNF-PM1
B1=60000000, B2=3000000000, E=12
2015-12-26Gordon SpenceNF
no factor from 2^63 to 2^64
2015-12-26Gordon SpenceNF
no factor from 2^62 to 2^63
2015-07-25NRNF
no factor from 2^61 to 2^62
2013-06-09Sid & AndyNF
no factor from 2^60 to 2^61
2012-02-17alpertronNF-PM1
B1=10000000, B2=200000000, E=12
2011-08-14JossNF-PM1
B1=1328291
2009-01-24Sturle SundeNF
no factor from 2^59 to 2^60
2008-12-31Sturle SundeNF
no factor from 2^58 to 2^59