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

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MnStatusDetails
261329Composite, with 4 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
3658607721.8old
33450113825.02008-07-21 09:15:14
452642734331135.42008-07-21 09:15:14
1322719905459034109547361132786.82017-06-09 09:18:50
ECM
DigitsB1Curves
2550000280 / 280
30250000588 / 640
Estimated T-Level: 29.6
TF below 2^93 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-22Oliver Kruse23088C1DD054D6EA4013
Verified2017-10-12kkmrkkblmbrbk23088C1DD054D6EA424600513
Verified2020-04-17Oliver Kruse81B67F81C938817F415556253
Verified2024-07-28kkmrkkblmbrbk81B67F81C938817F420343753
History
DateUserTypeResult
2024-07-28Dustin SwisherCERT
PRP Certification
Proof certified good
2024-07-28kkmrkkblmbrbkC-PRP
M261329/3658607/33450113/45264273433/132271990545903410954736113 : 81B67F81C938817F
PRP proof power = 5
PRP: Verified
Proof certified good
2022-05-03Oliver KruseNF-PM1
B1=30000000, B2=10035812696910
2021-09-15Oliver KruseNF-PM1
B1=30000000, B2=3000000000, E=24
2020-04-17Oliver KruseC-PRP
M261329/3658607/33450113/45264273433/132271990545903410954736113 : 81B67F81C938817F
PRP: Verified
PRP without proof (small exponent)
2017-10-12kkmrkkblmbrbkC-PRP
M261329/3658607/33450113/45264273433/132271990545903410954736113 : 23088C1DD054D6EA
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M261329/known_factors : 23088C1DD054D6EA
PRP without proof (not generated)
2017-06-09TJAOIF-ECM
Factor: 132271990545903410954736113 / (ECM curve 8, B1=250000, B2=25000000)
2008-07-21J FeitsmaF
Factor: 45264273433
2008-07-21J FeitsmaF
Factor: 33450113