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:










MnStatusDetails
2731Composite, with 4 known prime factors. Cofactor is composite.
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
551100000007040 / 40830
Estimated T-Level: 50.9
TF below 2^164 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-21Oliver Kruse38C267FCC6F6D0ED4013
Verified2017-10-02kkmrkkblmbrbk38C267FCC6F6D0ED4013
Verified2017-12-07ATH38C267FCC6F6D0ED4101613
Verified2020-04-17Oliver Kruse3180A26F3DCBAA644260053
Verified2024-02-03Wentao Huang3180A26F3DCBAA64468453
History
DateUserTypeResult
2024-02-03Wentao HuangC-PRP
M2731/93968249/5235895818143/697275709026751/563358792984278565516774152727223543227673 : 3180A26F3DCBAA64
PRP: Verified
PRP without proof (small exponent)
2022-03-27mikrNF-PM1
B1=70000000000, B2=367004699921960100
2021-07-06ViliamFNF-PM1
B1=1000000000, B2=191000000000
2020-04-17Oliver KruseC-PRP
M2731/93968249/5235895818143/697275709026751/563358792984278565516774152727223543227673 : 3180A26F3DCBAA64
PRP: Verified
PRP without proof (small exponent)
2017-12-07ATHC-PRP
M2731/93968249/5235895818143/697275709026751/563358792984278565516774152727223543227673 : 38C267FCC6F6D0ED
PRP: Verified
PRP without proof (small exponent)
2017-10-02kkmrkkblmbrbkC-PRP
M2731/93968249/5235895818143/697275709026751/563358792984278565516774152727223543227673 : 38C267FCC6F6D0ED
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M2731/known_factors : 38C267FCC6F6D0ED
PRP without proof (not generated)
2014-12-18philmooreF-ECM
Factor: 563358792984278565516774152727223543227673