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
8731Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
2514529721.3old
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000006537 / 9201
Estimated T-Level: 43.6
TF below 2^140 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-21Oliver Kruse00DC75526C05A7501013
Verified2017-10-12kkmrkkblmbrbk00DC75526C05A7501699313
Verified2020-04-17Oliver Kruse9F13B8F6EFE3C7091167553
Verified2024-07-01kkmrkkblmbrbk9F13B8F6EFE3C7091336353
History
DateUserTypeResult
2024-07-01kkmrkkblmbrbkC-PRP
M8731/2514529 : 9F13B8F6EFE3C709
PRP: Verified
PRP without proof (small exponent)
2023-08-09JacobZNF-PM1
B1=67000000000, B2=265422648792401100
2021-12-16Lisander ViaeneNF-PM1
B1=100000000
2020-04-17Oliver KruseC-PRP
M8731/2514529 : 9F13B8F6EFE3C709
PRP: Verified
PRP without proof (small exponent)
2017-10-12kkmrkkblmbrbkC-PRP
M8731/2514529 : 00DC75526C05A750
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M8731/2514529 : 00DC75526C05A750
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M8731/2514529 : 00DC75526C05A750
PRP without proof (not generated)