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:





MnDetails
6311
Composite, with 5 known prime factors. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
3647759721.8old
68423863826.0old
19586945831030.9old
2993061703567619211858.1old
8301280842306397916332169.5old
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
50440000003179 / 16550
Estimated T-Level: 46.0 ⓘ
TF below 2^148 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusProofDateUserResidueNumber of
known factors		ShiftTypeBase
Verified
No proof (small exponent)
2017-09-21Oliver KruseDB67E308D1B55C185013
Verified
No proof (small exponent)
2017-10-02kkmrkkblmbrbkDB67E308D1B55C185013
Verified
No proof (small exponent)
2017-12-07ATHDB67E308D1B55C185379613
Verified
No proof (small exponent)
2020-04-17Oliver Kruse76863971821DAC58553953
Verified
No proof (small exponent)
2024-02-03Wentao Huang76863971821DAC585447153
History
DateUserTypeResult
2025-03-19masserNF-PP1Start=94/53, B1=1000000000, B2=999000000000
2025-03-10masserNF-PP1Start=6/5, B1=1000000000, B2=999000000000
2025-03-02masserNF-PP1Start=2/7, B1=1000000000, B2=999000000000
2024-02-03Wentao HuangC-PRPM6311/3647759/68423863/1958694583/299306170356761921/830128084230639791633 : 76863971821DAC58
2023-08-03-anonymous-NF-PM1B1=39000000000, B2=163113042636343800
2021-08-01ViliamFNF-PM1B1=500000000, B2=90500000000
2020-04-17Oliver KruseC-PRPM6311/3647759/68423863/1958694583/299306170356761921/830128084230639791633 : 76863971821DAC58
2017-12-07ATHC-PRPM6311/3647759/68423863/1958694583/299306170356761921/830128084230639791633 : DB67E308D1B55C18
2017-10-02kkmrkkblmbrbkC-PRPM6311/3647759/68423863/1958694583/299306170356761921/830128084230639791633 : DB67E308D1B55C18
2017-09-21Oliver KruseC-PRPM6311/known_factors : DB67E308D1B55C18