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
2591
Composite, with 4 known prime factors. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
766937619.5old
2251385314666091547.7old
177301714648656791754.0old
118179184281049986272548446302933620737119.8old
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
504400000016550 / 16550
551100000009357 / 40830
Estimated T-Level: 51.1 ⓘ
TF below 2^165 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 Kruse81C52B0336EF3FD54013
Verified
No proof (small exponent)
2017-10-02kkmrkkblmbrbk81C52B0336EF3FD54013
Verified
No proof (small exponent)
2017-12-07ATH81C52B0336EF3FD5494513
Verified
No proof (small exponent)
2020-04-17Oliver Kruse620FD11A9160F49E4234753
Verified
No proof (small exponent)
2024-02-03Wentao Huang620FD11A9160F49E4235453
History
DateUserTypeResult
2025-04-16masserNF-PP1Start=79/19, B1=4300000000, B2=4295700000000
2024-02-03Wentao HuangC-PRPM2591/766937/225138531466609/17730171464865679/1181791842810499862725484463029336207 : 620FD11A9160F49E
2022-03-18mikrNF-PM1B1=60000000000, B2=314766415184771550
2021-07-05ViliamFNF-PM1B1=1000000000, B2=191000000000
2020-04-17Oliver KruseC-PRPM2591/766937/225138531466609/17730171464865679/1181791842810499862725484463029336207 : 620FD11A9160F49E
2017-12-07ATHC-PRPM2591/766937/225138531466609/17730171464865679/1181791842810499862725484463029336207 : 81C52B0336EF3FD5
2017-10-02kkmrkkblmbrbkC-PRPM2591/766937/225138531466609/17730171464865679/1181791842810499862725484463029336207 : 81C52B0336EF3FD5
2017-09-21Oliver KruseC-PRPM2591/known_factors : 81C52B0336EF3FD5
2009-10-25Carsten KossendeyFFactor: 13597924512749689255223