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
4068137Factored
FactorDigitsBitsDate
78313678611762306262219421112892.72021-08-14 10:49:47
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)Robert J.McWhinnie1A6AECF4F60757150
Verified (Factored)1999-11-10C. Cooper / S. Boone1A6AECF4F60757152860824
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2021-08-14ATHF76F433AC16ADBFB1372143253
P-1 factors
DateFactorB1B2
2023-09-2178313678611762306262219421111000000846181050
History
DateUserTypeResult
2023-09-21USAFSSF-PM1
Factor: 7831367861176230626221942111 / (P-1, B1=1000000, B2=846181050)
2021-08-14Ben DeloCERT
PRP Certification
Proof certified good
2021-08-14ATHC-PRP
M4068137/7831367861176230626221942111 : F76F433AC16ADBFB
PRP proof power = 7
PRP: Verified
Proof certified good
2021-08-14ATHF-PP1
Start=2/7, B1=2500000, B2=167500000, Factor: 7831367861176230626221942111
2021-03-10mikrNF
no factor from 2^69 to 2^70
2021-03-10mikrNF
no factor from 2^68 to 2^69
2020-05-21vbcurtisNF-PM1
B1=3000000, B2=75000000, E=12
2018-11-03YxinityNF
no factor from 2^67 to 2^68
2016-10-03kkmrkkblmbrbkNF
no factor from 2^66 to 2^67
2016-02-23Mark RoseNF
no factor from 2^62 to 2^63
2015-05-22snme2pm1NF
no factor from 2^65 to 2^66
2013-10-26David CampeauNF
no factor from 2^64 to 2^65
2013-08-22JayderNF
no factor from 2^63 to 2^64
2013-07-08Squeeky_SquirrelNF-PM1
B1=120000, B2=2340000, E=6
2011-07-25USAFSSNF-PM1
B1=40000, B2=580000
2011-07-01GrunwalderGIMPNF
no factor from 2^1 to 2^63
2010-10-22Grant McCrackenNF
no factor from 2^61 to 2^62