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

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MnStatusDetails
776753Composite, with 4 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
37087019623671341.8old
6068752671208491549.12014-04-23 10:30:45
302419569424549511754.72014-10-07 16:28:46
93447881171974653000312273.02014-10-07 16:28:46
ECM
DigitsB1Curves
2550000280 / 280
30250000100 / 640
Estimated T-Level: 25.8
TF below 2^81 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-10-05Oliver KruseCDC62368B46D82984013
Verified2017-10-13Oliver KruseCDC62368B46D8298416712913
Verified2017-12-18ATHCDC62368B46D8298422939013
Verified2020-04-21Oliver Kruse61318CBCE3D7744E414502053
Verified2025-04-13kkmrkkblmbrbk61318CBCE3D7744E462799853
P-1 factors
DateFactorB1B2
2014-10-073024195694245495150000015000000
2014-10-07934478811719746530003150000015000000
History
DateUserTypeResult
2025-04-13Jaimie JellemaCERT
PRP Certification
Proof certified good
2025-04-13kkmrkkblmbrbkC-PRP
M776753/3708701962367/606875267120849/30241956942454951/9344788117197465300031 : 61318CBCE3D7744E
PRP proof power = 6
PRP: Verified
Proof certified good
2020-04-21Oliver KruseC-PRP
M776753/3708701962367/606875267120849/30241956942454951/9344788117197465300031 : 61318CBCE3D7744E
PRP: Verified
PRP without proof (small exponent)
2017-12-18ATHC-PRP
M776753/3708701962367/606875267120849/30241956942454951/9344788117197465300031 : CDC62368B46D8298
PRP: Verified
PRP without proof (small exponent)
2017-10-13Oliver KruseC-PRP
M776753/3708701962367/606875267120849/30241956942454951/9344788117197465300031 : CDC62368B46D8298
PRP: Verified
PRP without proof (small exponent)
2017-10-05Oliver KruseC-PRP
M776753/3708701962367/606875267120849/30241956942454951/9344788117197465300031 : CDC62368B46D8298
PRP: Verified
PRP without proof (not generated)
2017-09-27Oliver KruseC-PRP
M776753/3708701962367/606875267120849/30241956942454951/9344788117197465300031 : CDC62368B46D8298
PRP without proof (not generated)
2014-10-07alpertronF-PM1
Factor: 282604679876650416013783717300916403481 / (P-1, B1=500000, B2=15000000, E=12)
2014-04-23TJAOIF
Factor: 606875267120849