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
8419
Composite, with 3 known prime factors. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
488303618.9old
41881494171032.0old
1520517755014011547.1old
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
50440000006977 / 16550
Estimated T-Level: 47.1
TF below 2^151 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 KruseF2762ABF0F104E073013
Verified
No proof (small exponent)
2017-10-12kkmrkkblmbrbkF2762ABF0F104E073431413
Verified
No proof (small exponent)
2020-04-17Oliver Kruse9F0FCD6A853975F23745253
Verified
No proof (small exponent)
2024-07-01kkmrkkblmbrbk9F0FCD6A853975F23110653
History
DateUserTypeResult
2025-05-14masserNF-PP1Start=138/61, B1=1300000000, B2=1298700000000
2024-07-01kkmrkkblmbrbkC-PRPM8419/152051775501401/4188149417/488303 : 9F0FCD6A853975F2
2023-08-25JacobZNF-PM1B1=70000000000, B2=265422648792401100
2021-12-16ANONYMOUSNF-PM1B1=100000000
2020-04-17Oliver KruseC-PRPM8419/488303/4188149417/152051775501401 : 9F0FCD6A853975F2
2017-10-12kkmrkkblmbrbkC-PRPM8419/488303/4188149417/152051775501401 : F2762ABF0F104E07
2017-09-21Oliver KruseC-PRPM8419/488303/4188149417/152051775501401 : F2762ABF0F104E07
2017-09-21Oliver KruseC-PRPM8419/488303/4188149417/152051775501401 : F2762ABF0F104E07