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
8209
Composite, with 2 known prime factors. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
14759783823.8old
30775835210571341.5old
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
50440000006758 / 16550
Estimated T-Level: 47.0
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 KruseFE7B081DE1FCCDF52013
Verified
No proof (small exponent)
2017-10-12kkmrkkblmbrbkFE7B081DE1FCCDF52341713
Verified
No proof (small exponent)
2020-04-17Oliver Kruse994A0C605DD9F5012582553
Verified
No proof (small exponent)
2024-07-01kkmrkkblmbrbk994A0C605DD9F5012306153
History
DateUserTypeResult
2025-05-21masserNF-PP1Start=153/71, B1=1300000000, B2=1298700000000
2024-07-01kkmrkkblmbrbkC-PRPM8209/14759783/3077583521057 : 994A0C605DD9F501
2023-09-01JacobZNF-PM1B1=72000000000, B2=265422648792401100
2021-08-25H MichaelsonNF-PM1B1=100000000, B2=10000000000
2020-04-17Oliver KruseC-PRPM8209/14759783/3077583521057 : 994A0C605DD9F501
2017-10-12kkmrkkblmbrbkC-PRPM8209/14759783/3077583521057 : FE7B081DE1FCCDF5
2017-09-21Oliver KruseC-PRPM8209/14759783/3077583521057 : FE7B081DE1FCCDF5
2017-09-21Oliver KruseC-PRPM8209/14759783/3077583521057 : FE7B081DE1FCCDF5