Marin Mersenne 2^P-1
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MnStatusDetails
279977Composite, with 3 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
624169524731135.9old
2464563180666250571857.82014-09-05 15:16:47
812627494601601341292628780790943134112.62016-11-03 10:01:28
ECM
DigitsB1Curves
2550000280 / 280
30250000533 / 640
Estimated T-Level: 29.2
TF below 2^92 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-22Oliver Kruse7A416E5501B2595D3013
Verified2017-10-12Oliver Kruse7A416E5501B2595D35543913
Verified2017-11-06kkmrkkblmbrbk7A416E5501B2595D34707313
Verified2020-04-17Oliver Kruse0AA2B243F33C6588312769953
Verified2024-08-08kkmrkkblmbrbk0AA2B243F33C6588325927953
P-1 factors
DateFactorB1B2
2016-11-038126274946016013412926287807909431500000040000000
History
DateUserTypeResult
2024-11-05yuriy_5-1NF-PM1
B1=25757884, B2=6300646522170
2024-08-08Luke DurantCERT
PRP Certification
Proof certified good
2024-08-08kkmrkkblmbrbkC-PRP
M279977/62416952473/246456318066625057/8126274946016013412926287807909431 : 0AA2B243F33C6588
PRP proof power = 5
PRP: Verified
Proof certified good
2020-04-17Oliver KruseC-PRP
M279977/62416952473/246456318066625057/8126274946016013412926287807909431 : 0AA2B243F33C6588
PRP: Verified
PRP without proof (small exponent)
2017-11-06kkmrkkblmbrbkC-PRP
M279977/62416952473/246456318066625057/8126274946016013412926287807909431 : 7A416E5501B2595D
PRP: Verified
PRP without proof (small exponent)
2017-10-12Oliver KruseC-PRP
M279977/62416952473/246456318066625057/8126274946016013412926287807909431 : 7A416E5501B2595D
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M279977/known_factors : 7A416E5501B2595D
PRP without proof (not generated)
2016-11-03kkmrkkblmbrbkF-PM1
Factor: 8126274946016013412926287807909431 / (P-1, B1=5000000, B2=40000000, E=12)
2014-09-05TJAOIF-ECM
Factor: 246456318066625057