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

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Exponent Range:










MnStatusDetails
256661Composite, with 2 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
9753119723.2old
165311566280340731753.92014-09-05 15:16:23
ECM
DigitsB1Curves
2550000280 / 280
30250000628 / 640
Estimated T-Level: 29.9
TF below 2^94 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-22Oliver KruseF316522B72E4B98F2013
Verified2017-10-12Oliver KruseF316522B72E4B98F25366513
Verified2017-11-06kkmrkkblmbrbkF316522B72E4B98F26194413
Verified2020-04-17Oliver KruseB1E8B172A093E31C216245853
Verified2024-02-03Wentao HuangB1E8B172A093E31C21320053
History
DateUserTypeResult
2024-02-03Naegi MakotoCERT
PRP Certification
Proof certified good
2024-02-03Wentao HuangC-PRP
M256661/9753119/16531156628034073 : B1E8B172A093E31C
PRP proof power = 5
PRP: Verified
Proof certified good
2022-04-28Oliver KruseNF-PM1
B1=30000000, B2=10035812696910
2021-09-06Oliver KruseNF-PM1
B1=30000000, B2=3000000000, E=24
2021-07-14seatseaF-ECM
Factor: 9753119 / (ECM curve 1, B1=250000, B2=38500000, Sigma=7403155052386126)
2020-04-17Oliver KruseC-PRP
M256661/9753119/16531156628034073 : B1E8B172A093E31C
PRP: Verified
PRP without proof (small exponent)
2017-11-06kkmrkkblmbrbkC-PRP
M256661/9753119/16531156628034073 : F316522B72E4B98F
PRP: Verified
PRP without proof (small exponent)
2017-10-12Oliver KruseC-PRP
M256661/9753119/16531156628034073 : F316522B72E4B98F
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M256661/9753119/16531156628034073 : F316522B72E4B98F
PRP: Verified
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M256661/9753119/16531156628034073 : F316522B72E4B98F
PRP without proof (not generated)
2014-09-05TJAOIF
Factor: 16531156628034073