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

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Exponent Range:










MnStatusDetails
3705343Factored
FactorDigitsBitsDate
159141018141064781813992373.82023-01-11 16:25:50
ECM
DigitsB1Curves
255000056 / 280
Estimated T-Level: 21.0 ⓘ
TF below 2^65 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)John Dennis0748B89865C263CD0
Verified (Factored)1998-03-23John Dennis0748B89865C263CD0
Verified (Factored)1999-08-31russell whitehead0748B89865C263CD1839273
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2023-01-13LordJulius7DED057DA63D88BC1166365253
History
DateUserTypeResult
2023-01-13takahashiCERT
PRP Certification
Proof certified good
2023-01-13LordJuliusC-PRP
M3705343/15914101814106478181399 : 7DED057DA63D88BC
PRP proof power = 7
PRP: Verified
Proof certified good
2023-01-11ConductorF-ECM
Factor: 15914101814106478181399 / (ECM curve 1, B1=50000, B2=5000000)
2021-04-26axnNF-PM1
B1=14000000, B2=700000000
2021-03-03axnNF
no factor from 2^69 to 2^70
2020-12-16axnNF
no factor from 2^68 to 2^69
2019-01-21TJAOINF
no factor from 2^67 to 2^68
2016-10-30Gordon SpenceNF
no factor from 2^66 to 2^67
2016-02-23Mark RoseNF
no factor from 2^62 to 2^63
2016-02-23ramgeisNF
no factor from 2^65 to 2^66
2015-01-20VictordeHollanderNF
no factor from 2^64 to 2^65
2015-01-20VictordeHollanderNF
no factor from 2^63 to 2^64
2012-11-30Squeeky_SquirrelNF-PM1
B1=235000, B2=5581250, E=12
2012-04-19GrunwalderGIMPNF
no factor from 2^1 to 2^63
2011-04-11Grant McCrackenNF
no factor from 2^61 to 2^62
2009-07-04Carsten KossendeyNF-PM1
B1=20000, B2=260000
2009-03-07S485122NF
no factor from 2^60 to 2^61