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
2731
Composite, with 4 known prime factors. Cofactor is composite.
Trial Factored to 268
TF target 244
Assignments
AssignedUserWork TypeStage% DoneUpdatedEst CompleteExpired
2026-01-01philmooreECM2026-01-092026-02-03
2026-01-01philmooreECM2026-01-092026-02-03
2025-12-08philmooreECM2026-01-092026-01-23
2025-12-08philmooreECMC241S113.74 %2026-01-092026-01-13
2025-12-08philmooreECM2026-01-092026-01-23
2025-12-08philmooreECMC239S147.65 %2026-01-092026-01-13
Factored
FactorDigitsBitsDate
93968249826.5old
52358958181431342.3old
6972757090267511549.3old
56335879298427856551677415272722354322767342138.72014-12-18 20:34:34
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
504400000016550 / 16550
5511000000015851 / 40830
Estimated T-Level: 51.9 ⓘ
TF below 2^168 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusProofDateUserResidueNumber of
known factors		ShiftTypeBase
Verified
No proof (small exponent)
2017-09-21Oliver Kruse38C267FCC6F6D0ED4013
Verified
No proof (small exponent)
2017-10-02kkmrkkblmbrbk38C267FCC6F6D0ED4013
Verified
No proof (small exponent)
2017-12-07ATH38C267FCC6F6D0ED4101613
Verified
No proof (small exponent)
2020-04-17Oliver Kruse3180A26F3DCBAA644260053
Verified
No proof (small exponent)
2024-02-03Wentao Huang3180A26F3DCBAA64468453
History
DateUserTypeResult
2025-04-14masserNF-PP1Start=116/37, B1=4300000000, B2=4295700000000
2024-02-03Wentao HuangC-PRPM2731/93968249/5235895818143/697275709026751/563358792984278565516774152727223543227673 : 3180A26F3DCBAA64
2022-03-27mikrNF-PM1B1=70000000000, B2=367004699921960100
2021-07-06ViliamFNF-PM1B1=1000000000, B2=191000000000
2020-04-17Oliver KruseC-PRPM2731/93968249/5235895818143/697275709026751/563358792984278565516774152727223543227673 : 3180A26F3DCBAA64
2017-12-07ATHC-PRPM2731/93968249/5235895818143/697275709026751/563358792984278565516774152727223543227673 : 38C267FCC6F6D0ED
2017-10-02kkmrkkblmbrbkC-PRPM2731/93968249/5235895818143/697275709026751/563358792984278565516774152727223543227673 : 38C267FCC6F6D0ED
2017-09-21Oliver KruseC-PRPM2731/known_factors : 38C267FCC6F6D0ED
2014-12-18philmooreF-ECMFactor: 563358792984278565516774152727223543227673