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
3434813
Composite, with 1 known prime factor. Cofactor is composite.
Trial Factored to 270
TF target 264
Factored
FactorDigitsBitsDate
13075382950155147984685021192890.12025-01-18 12:00:38
ECM
DigitsB1Curves
2550000280 / 280
3025000066 / 640
Estimated T-Level: 25.5
TF below 2^80 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShiftSoftware
FactoredKen Kriesel60041993D62737320Windows,Prime95,v14,(aka WQ1)
Factored1999-12-08Daniel Kebert60041993D6273732335307Windows,Prime95,v18,(aka WU1)
PRP Cofactor
StatusProofDateUserResidueNumber of
known factors
ShiftTypeBase
Verified
Certified Good
2025-01-18fordobrC7D1EF65124AF52E1192795453
History
DateUserTypeResult
2025-01-18kkmrkkblmbrbkCERT
Proof certified good
2025-01-18fordobrC-PRPM3434813/1307538295015514798468502119 : C7D1EF65124AF52E
Proof Certified Good

Proof Power: 7

2025-01-18fordobrF-ECMFactor: 1307538295015514798468502119 / ECM curve 37, B1=126359, B2=275660385, Edwards Sigma=7709224537622415
2024-12-08JossNF-PM1B1=15651870, B2=17110223130
2024-01-14JossNF-PM1B1=2430180, B2=6908401500
2023-11-17JossNF-PM1B1=2430180, B2=3303720420
2023-11-17JossNF-PM1B1=2430180, B2=1551469920
2023-08-26JossNF-PM1B1=1000000, B2=1551469920
2022-08-01TJAOINFno factor TF: 69-70
2021-05-06axnNF-PM1B1=14000000, B2=700000000
2021-01-01axnNFno factor TF: 68-69
2018-09-17TJAOINFno factor TF: 67-68
2017-02-05Gordon SpenceNFno factor TF: 66-67
2016-02-23Mark RoseNFno factor TF: 62-63
2016-02-23Mark RoseNFno factor TF: 1-60
2015-04-13Gordon SpenceNFno factor TF: 65-66
2015-02-07VictordeHollanderNFno factor TF: 64-65
2015-02-07VictordeHollanderNFno factor TF: 63-64
2014-09-16HBendtzNF-PM1B1=500000, B2=10000000, E=12
2014-07-18JossNF-PM1B1=78686
2012-08-18GrunwalderGIMPNFno factor TF: 1-63
2011-11-01USAFSSNF-PM1B1=60000, B2=945000, E=6
2011-08-06markrNFno factor TF: 61-62
2009-07-06Carsten KossendeyNF-PM1B1=15000, B2=210000
2009-03-24S485122NFno factor TF: 60-61
1999-12-08-anonymous-C-LL60041993D6273732