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
7817
Composite, with 1 known prime factor. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
851648821702331446.3old
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
50440000009539 / 16550
Estimated T-Level: 47.9
TF below 2^154 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 KruseE33515F2EE9A880C1013
Verified
No proof (small exponent)
2017-10-12kkmrkkblmbrbkE33515F2EE9A880C1439813
Verified
No proof (small exponent)
2020-04-17Oliver KruseB75ED61F80197E3E1391253
Verified
No proof (small exponent)
2024-02-03Wentao HuangB75ED61F80197E3E1654253
History
DateUserTypeResult
2025-05-28masserNF-PP1Start=143/43, B1=1300000000, B2=1298700000000
2024-12-11yuriy_5-1NF-PM1B1=32000000000, B2=200173322832783300
2024-02-03Wentao HuangC-PRPM7817/85164882170233 : B75ED61F80197E3E
2021-07-09ViliamFNF-PM1B1=1000000000, B2=201000000000
2020-04-17Oliver KruseC-PRPM7817/85164882170233 : B75ED61F80197E3E
2017-10-12kkmrkkblmbrbkC-PRPM7817/85164882170233 : E33515F2EE9A880C
2017-09-21Oliver KruseC-PRPM7817/85164882170233 : E33515F2EE9A880C
2017-09-21Oliver KruseC-PRPM7817/85164882170233 : E33515F2EE9A880C
1999-05-02-anonymous-F-PM1Factor: 85164882170233