Marin Mersenne 2^P-1
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Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

Exponent Range:










MnStatusDetails
3401591Factored
FactorDigitsBitsDate
42025405743642692091961.92009-06-14 17:43:46
ECM
DigitsB1Curves
25500004 / 280
Estimated T-Level: 20.1 ⓘ
TF below 2^62 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)Philipp Hänggi6C3789FAA1257FDD0
Verified (Factored)1999-07-27Gaspar Janos6C3789FAA1257FDD2224809
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2017-11-05kkmrkkblmbrbkFBC3F6E7A11023C81185145153
Verified2017-11-21Oliver KruseFBC3F6E7A11023C81302021053
History
DateUserTypeResult
2022-09-05JossNF-PM1
B1=1133863, B2=213444000
2022-04-24LordJuliusNF
no factor from 2^66 to 2^67
2022-04-24LordJuliusNF
no factor from 2^65 to 2^66
2022-04-24LordJuliusNF
no factor from 2^64 to 2^65
2022-04-24LordJuliusNF
no factor from 2^63 to 2^64
2022-04-24LordJuliusNF
no factor from 2^62 to 2^63
2022-01-06JossNF-PM1
B1=1133863, B2=111642300
2021-07-13JossNF
no factor from 2^67 to 2^68
2020-12-21JossNF-PM1
B1=340159, B2=3401591, E=6
2017-11-21Oliver KruseC-PRP
M3401591/4202540574364269209 : FBC3F6E7A11023C8
PRP: Verified
PRP without proof (not generated)
2017-11-05kkmrkkblmbrbkC-PRP
M3401591/4202540574364269209 : FBC3F6E7A11023C8
PRP: Verified
PRP without proof (not generated)
2009-06-14rextheruntF-ECM
Factor: 4202540574364269209
2009-03-25S485122NF
no factor from 2^60 to 2^61