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
109313
Composite, with 2 known prime factors. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
6504233021750663591859.22010-02-04 22:19:40
10635931709456411691959.9old
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000697 / 1566
Estimated T-Level: 32.2
TF below 2^102 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 Kruse5D3F98EA9CC08C792013
Verified
No proof (small exponent)
2017-10-13kkmrkkblmbrbk5D3F98EA9CC08C7926593213
Verified
No proof (small exponent)
2020-04-17Oliver KruseE7422DF5293C4FD622494353
Verified
Not Uploaded
2022-04-15LordJuliusE7422DF5293C4FD621920953
Verified
Certified Good
2022-11-11LordJuliusE7422DF5293C4FD629562553
History
DateUserTypeResult
2026-02-09Jason LynchNF-PM1B1=423066000, B2=229429634083650
2025-12-16ViliamFNF-PM1B1=100000000, B2=2943700209450
2022-11-11Jim DonovanCERT
Proof certified good
2022-11-11LordJuliusC-PRPM109313/650423302175066359/1063593170945641169 : E7422DF5293C4FD6
Proof Not Uploaded

Proof Power: 5

2022-05-07LordJuliusNFno factor TF: 62-63
2022-05-07LordJuliusNFno factor TF: 61-62
2022-05-07LordJuliusNFno factor TF: 60-61
2022-05-07LordJuliusNFno factor TF: 57-58
2022-05-07LordJuliusNFno factor TF: 58-59
2022-05-07LordJuliusNFno factor TF: 1-57
2022-04-15LordJuliusC-PRPM109313/650423302175066359/1063593170945641169 : E7422DF5293C4FD6
Proof Not Uploaded

Proof Power: 5

2020-04-17Oliver KruseC-PRPM109313/650423302175066359/1063593170945641169 : E7422DF5293C4FD6
2018-10-26J.R. AllenNFno factor TF: 1-57
2017-10-13kkmrkkblmbrbkC-PRPM109313/650423302175066359/1063593170945641169 : 5D3F98EA9CC08C79
2017-09-21Oliver KruseC-PRPM109313/1063593170945641169/650423302175066359 : 5D3F98EA9CC08C79
2017-09-21Oliver KruseC-PRPM109313/1063593170945641169/650423302175066359 : 5D3F98EA9CC08C79
2016-12-10kkmrkkblmbrbkNF-PM1B1=100000000, B2=2000000000, E=12
2010-02-04Rob_DeeF-ECMFactor: 650423302175066359
2002-06-02-anonymous-NF-PM1B1=32768, B2=3276800
2002-05-05-anonymous-NFno factor TF: 1-57
2001-01-08-anonymous-NF-PM1B1=1000000, B2=25000000
2000-12-14-anonymous-NFno factor TF: 1-56
2000-04-12-anonymous-NFno factor TF: 1-54
1999-09-14-anonymous-NFno factor TF: 52-53