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
8539
Composite, with 3 known prime factors. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
13662401823.7old
100899727271133.2old
5286855183806871548.9old
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
50440000005613 / 16550
Estimated T-Level: 46.7
TF below 2^150 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 Kruse475594DFA5D8EDB43013
Verified
No proof (small exponent)
2017-10-12kkmrkkblmbrbk475594DFA5D8EDB43553913
Verified
No proof (small exponent)
2020-04-17Oliver Kruse7600BBE394290C803593853
Verified
No proof (small exponent)
2024-07-01kkmrkkblmbrbk7600BBE394290C803240553
History
DateUserTypeResult
2025-05-09masserNF-PP1Start=94/59, B1=1000000000, B2=999000000000
2024-07-01kkmrkkblmbrbkC-PRPM8539/10089972727/13662401/528685518380687 : 7600BBE394290C80
2023-08-18JacobZNF-PM1B1=69000000000, B2=265422648792401100
2021-12-16ANONYMOUSNF-PM1B1=100000000
2020-04-17Oliver KruseC-PRPM8539/13662401/10089972727/528685518380687 : 7600BBE394290C80
2017-10-12kkmrkkblmbrbkC-PRPM8539/13662401/10089972727/528685518380687 : 475594DFA5D8EDB4
2017-09-21Oliver KruseC-PRPM8539/13662401/10089972727/528685518380687 : 475594DFA5D8EDB4
2017-09-21Oliver KruseC-PRPM8539/13662401/10089972727/528685518380687 : 475594DFA5D8EDB4