Marin Mersenne 2^P-1
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GIMPS
Finding World Record Primes Since 1996

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Exponent Range:










MnStatusDetails
257981Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
4656909591224379892918812478.62007-12-31 07:31:45
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000222 / 1566
Estimated T-Level: 30.7
TF below 2^97 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-22Oliver Kruse74629A30FCCCCA611013
Verified2017-10-12Oliver Kruse74629A30FCCCCA61124932413
Verified2017-11-06kkmrkkblmbrbk74629A30FCCCCA61116904313
Verified2020-04-17Oliver KruseB0DF05D145254B7712030653
Verified2024-07-26kkmrkkblmbrbkB0DF05D145254B77121108253
History
DateUserTypeResult
2024-07-26ANONYMOUSCERT
PRP Certification
Proof certified good
2024-07-26kkmrkkblmbrbkC-PRP
M257981/465690959122437989291881 : B0DF05D145254B77
PRP proof power = 5
PRP: Verified
Proof certified good
2022-04-29Oliver KruseNF-PM1
B1=30000000, B2=10035812696910
2021-08-19Oliver KruseNF-PM1
B1=30000000, B2=3000000000, E=24
2020-04-17Oliver KruseC-PRP
M257981/465690959122437989291881 : B0DF05D145254B77
PRP: Verified
PRP without proof (small exponent)
2017-11-06kkmrkkblmbrbkC-PRP
M257981/465690959122437989291881 : 74629A30FCCCCA61
PRP: Verified
PRP without proof (small exponent)
2017-10-12Oliver KruseC-PRP
M257981/465690959122437989291881 : 74629A30FCCCCA61
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M257981/465690959122437989291881 : 74629A30FCCCCA61
PRP: Verified
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M257981/465690959122437989291881 : 74629A30FCCCCA61
PRP without proof (not generated)
2007-12-31Steve ScottF-ECM
Factor: 465690959122437989291881