Marin Mersenne 2^P-1
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MnStatusDetails
457001Composite, with 3 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
2742007721.4old
87332891111033.02008-07-21 09:19:40
11126114475399201431959.92015-04-24 10:39:25
ECM
DigitsB1Curves
2550000280 / 280
30250000200 / 640
Estimated T-Level: 26.6
TF below 2^83 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-25Oliver KruseBF3CF5F2F88606C83013
Verified2017-09-27Oliver KruseBF3CF5F2F88606C83013
Verified2017-11-07kkmrkkblmbrbkBF3CF5F2F88606C8334356013
Verified2020-04-18Oliver KruseAA50698C34B37C08323242753
Verified2024-11-12kkmrkkblmbrbkAA50698C34B37C08333662253
History
DateUserTypeResult
2024-11-12XyzzyCERT
PRP Certification
Proof certified good
2024-11-12kkmrkkblmbrbkC-PRP
M457001/2742007/8733289111/1112611447539920143 : AA50698C34B37C08
PRP proof power = 6
PRP: Verified
Proof certified good
2020-04-18Oliver KruseC-PRP
M457001/2742007/8733289111/1112611447539920143 : AA50698C34B37C08
PRP: Verified
PRP without proof (small exponent)
2017-11-07kkmrkkblmbrbkC-PRP
M457001/2742007/8733289111/1112611447539920143 : BF3CF5F2F88606C8
PRP: Verified
PRP without proof (small exponent)
2017-09-27Oliver KruseC-PRP
M457001/2742007/8733289111/1112611447539920143 : BF3CF5F2F88606C8
PRP: Verified
PRP without proof (not generated)
2017-09-25Oliver KruseC-PRP
M457001/2742007/8733289111/1112611447539920143 : BF3CF5F2F88606C8
PRP: Verified
PRP without proof (not generated)
2016-03-17alpertronNF-PM1
B1=3000000, B2=100000000, E=12
2015-04-24TJAOIF-ECM
Factor: 1112611447539920143 / (ECM curve 3, B1=50000, B2=5000000)
2008-07-21J FeitsmaF
Factor: 8733289111