Marin Mersenne 2^P-1
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GIMPS
Finding World Record Primes Since 1996

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MnStatusDetails
3435881Factored
FactorDigitsBitsDate
818701356785798875914412376.12021-08-08 13:25:20
ECM
DigitsB1Curves
255000041 / 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)Ulrich RoglinF4D15E482E6BF2050
Verified (Factored)1999-08-31Martijn OttoF4D15E482E6BF2051496445
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2021-08-08SRJ287768BEB1DB8F522C521316452653
History
DateUserTypeResult
2022-04-10JossNF-PM1
B1=1000000, B2=126668850
2021-08-08Architects CubedCERT
PRP Certification
Proof certified good
2021-08-08SRJ2877C-PRP
M3435881/81870135678579887591441 : 68BEB1DB8F522C52
PRP proof power = 7
PRP: Verified
Proof certified good
2021-08-08nordiF-ECM
Factor: 81870135678579887591441 / (ECM curve 4, B1=50000, B2=6750000, Sigma=7424944190671718)
2021-05-07axnNF-PM1
B1=14000000, B2=700000000
2021-01-01axnNF
no factor from 2^68 to 2^69
2018-09-10TJAOINF
no factor from 2^67 to 2^68
2017-02-05Gordon SpenceNF
no factor from 2^66 to 2^67
2016-02-23Mark RoseNF
no factor from 2^1 to 2^60
2016-02-23Mark RoseNF
no factor from 2^62 to 2^63
2015-04-13Gordon 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
2014-09-16HBendtzNF-PM1
B1=500000, B2=10000000, E=12
2014-07-18JossNF-PM1
B1=78681
2012-08-18GrunwalderGIMPNF
no factor from 2^1 to 2^63
2011-11-02USAFSSNF-PM1
B1=60000, B2=945000, E=6
2011-08-05markrNF
no factor from 2^61 to 2^62
2009-07-06Carsten KossendeyNF-PM1
B1=15000, B2=210000
2009-03-22S485122NF
no factor from 2^60 to 2^61