Marin Mersenne 2^P-1
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Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

Exponent Range:





MnDetails
3931
Composite, with 4 known prime factors. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
2618047721.3old
3348556518329211548.3old
743548509553051174012066.0old
1278964035291191007212348126338568690130260226317268091345447362203.02020-04-21 12:22:15
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
504400000016550 / 16550
5511000000015578 / 40830
Estimated T-Level: 51.9 ⓘ
TF below 2^167 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusProofDateUserResidueNumber of
known factors		ShiftTypeBase
Factored
No proof (small exponent)
2017-09-21Oliver Kruse11E5147CC05A790F3013
Factored
No proof (small exponent)
2017-10-02kkmrkkblmbrbk11E5147CC05A790F3013
Factored
No proof (small exponent)
2017-12-07ATH11E5147CC05A790F3224213
Factored
No proof (small exponent)
2020-04-17Oliver Kruse8004854DB2B69C653173353
Verified
No proof (small exponent)
2020-04-21M Miller8004854DB2B69C654204153
Verified
No proof (small exponent)
2020-04-22atrench8004854DB2B69C654143653
History
DateUserTypeResult
2025-05-08masserNF-PP1Start=142/53, B1=2600000000, B2=2597400000000
2023-05-15JacobZNF-PM1B1=66000000000, B2=667136464473408930
2021-09-09Jinyuan WangNF-PM1B1=1300000000, B2=13000000000
2020-04-22atrenchC-PRPM3931/2618047/334855651832921/74354850955305117401/12789640352911910072123481263385686901302602263172680913454473 : 8004854DB2B69C65
2020-04-21M MillerC-PRPM3931/2618047/334855651832921/74354850955305117401/12789640352911910072123481263385686901302602263172680913454473 : 8004854DB2B69C65
2020-04-21Ryan PropperF-ECMFactor: 12789640352911910072123481263385686901302602263172680913454473
2020-04-17Oliver KruseC-PRPM3931/2618047/334855651832921/74354850955305117401 : 8004854DB2B69C65
2017-12-07ATHC-PRPM3931/2618047/334855651832921/74354850955305117401 : 11E5147CC05A790F
2017-10-02kkmrkkblmbrbkC-PRPM3931/2618047/334855651832921/74354850955305117401 : 11E5147CC05A790F
2017-09-21Oliver KruseC-PRPM3931/known_factors : 11E5147CC05A790F
2009-10-25Carsten KossendeyF-PM1Factor: 876667834714223325287