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
4259
Composite, with 2 known prime factors. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
9186482409521262711859.7old
48439905382808785792777724518388345832346342138.52020-09-30 15:48:42
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
504400000016550 / 16550
5511000000018131 / 40830
Estimated T-Level: 52.2 ⓘ
TF below 2^168 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 Kruse0548EAC5F9087BCE1013
Factored
No proof (small exponent)
2017-10-12kkmrkkblmbrbk0548EAC5F9087BCE141013
Factored
No proof (small exponent)
2020-04-17Oliver Kruse791F2DA8E1540E401328053
Verified
No proof (small exponent)
2020-10-01tottenhoff791F2DA8E1540E402304053
Verified
No proof (small exponent)
2025-10-06Dobri791F2DA8E1540E402242853
History
DateUserTypeResult
2025-10-06DobriC-PRPM4259/918648240952126271/484399053828087857927777245183883458323463 : 791F2DA8E1540E40
2025-05-14masserNF-PP1Start=166/13, B1=2600000000, B2=2597400000000
2023-05-19-anonymous-NF-PM1B1=76000000000, B2=761666906426476050
2021-07-05ViliamFNF-PM1B1=1000000000, B2=201000000000
2020-10-01tottenhoffC-PRPM4259/918648240952126271/484399053828087857927777245183883458323463 : 791F2DA8E1540E40
2020-09-30Ryan PropperF-ECMFactor: 484399053828087857927777245183883458323463
2020-04-17Oliver KruseC-PRPM4259/918648240952126271 : 791F2DA8E1540E40
2017-10-12kkmrkkblmbrbkC-PRPM4259/918648240952126271 : 0548EAC5F9087BCE
2017-09-21Oliver KruseC-PRPM4259/918648240952126271 : 0548EAC5F9087BCE
2017-09-21Oliver KruseC-PRPM4259/918648240952126271 : 0548EAC5F9087BCE
2009-10-25Carsten KossendeyF-PM1Factor: 918648240952126271