Marin Mersenne 2^P-1
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MnStatusDetails
583519Composite, with 3 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
145879751927.1old
5190950012871238.92008-07-21 09:22:05
34844079583974971651.62014-07-06 11:47:05
ECM
DigitsB1Curves
2550000280 / 280
30250000210 / 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
Verified2017-09-27Oliver Kruse263C00B1127D7A263013
Verified2017-09-28Oliver Kruse263C00B1127D7A263013
Verified2017-11-08kkmrkkblmbrbk263C00B1127D7A26348328213
Verified2020-04-19Oliver Kruse87C8EF97EDACB617331892953
Verified2025-01-19kkmrkkblmbrbk87C8EF97EDACB617312383453
History
DateUserTypeResult
2025-01-19stenleiCERT
PRP Certification
Proof certified good
2025-01-19kkmrkkblmbrbkC-PRP
M583519/145879751/519095001287/3484407958397497 : 87C8EF97EDACB617
PRP proof power = 6
PRP: Verified
Proof certified good
2022-12-26USAFSSNF-PM1
B1=1750000, B2=5399784390
2020-04-19Oliver KruseC-PRP
M583519/145879751/519095001287/3484407958397497 : 87C8EF97EDACB617
PRP: Verified
PRP without proof (small exponent)
2017-11-08kkmrkkblmbrbkC-PRP
M583519/145879751/519095001287/3484407958397497 : 263C00B1127D7A26
PRP: Verified
PRP without proof (small exponent)
2017-09-28Oliver KruseC-PRP
M583519/145879751/519095001287/3484407958397497 : 263C00B1127D7A26
PRP: Verified
PRP without proof (not generated)
2017-09-27Oliver KruseC-PRP
M583519/145879751/519095001287/3484407958397497 : 263C00B1127D7A26
PRP: Verified
PRP without proof (not generated)
2014-07-06TJAOIF
Factor: 3484407958397497
2008-07-21J FeitsmaF
Factor: 519095001287