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
6311Composite, with 5 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
3647759721.8old
68423863826.0old
19586945831030.9old
2993061703567619211858.1old
8301280842306397916332169.5old
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000001429 / 9201
Estimated T-Level: 40.8
TF below 2^130 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-21Oliver KruseDB67E308D1B55C185013
Verified2017-10-02kkmrkkblmbrbkDB67E308D1B55C185013
Verified2017-12-07ATHDB67E308D1B55C185379613
Verified2020-04-17Oliver Kruse76863971821DAC58553953
Verified2024-02-03Wentao Huang76863971821DAC585447153
History
DateUserTypeResult
2024-02-03Wentao HuangC-PRP
M6311/3647759/68423863/1958694583/299306170356761921/830128084230639791633 : 76863971821DAC58
PRP: Verified
PRP without proof (small exponent)
2023-08-03-Anonymous-NF-PM1
B1=39000000000, B2=163113042636343800
2021-08-01ViliamFNF-PM1
B1=500000000, B2=90500000000
2020-04-17Oliver KruseC-PRP
M6311/3647759/68423863/1958694583/299306170356761921/830128084230639791633 : 76863971821DAC58
PRP: Verified
PRP without proof (small exponent)
2017-12-07ATHC-PRP
M6311/3647759/68423863/1958694583/299306170356761921/830128084230639791633 : DB67E308D1B55C18
PRP: Verified
PRP without proof (small exponent)
2017-10-02kkmrkkblmbrbkC-PRP
M6311/3647759/68423863/1958694583/299306170356761921/830128084230639791633 : DB67E308D1B55C18
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M6311/known_factors : DB67E308D1B55C18
PRP without proof (not generated)