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
109139
Composite, with 3 known prime factors. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
218279617.7old
3932224056711933911858.42008-08-26 20:12:04
1926912017805470711603592477.42014-04-22 08:43:14
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000738 / 1566
Estimated T-Level: 32.4
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 Kruse79738B29696FC9793013
Verified
No proof (small exponent)
2017-10-09Chang Chia-Tche79738B29696FC9793013
Verified
No proof (small exponent)
2017-10-13kkmrkkblmbrbk79738B29696FC979310573613
Verified
No proof (small exponent)
2020-04-17Oliver Kruse552A4C2A7F4C140239191553
Verified
Not Uploaded
2022-04-15LordJulius552A4C2A7F4C1402310886553
Factored
Not Uploaded
2022-05-12Jorge Coveiro552A4C2A7F4C14021458353
Verified
Certified Good
2022-11-08LordJulius552A4C2A7F4C140235094053
History
DateUserTypeResult
2026-02-10Jason LynchNF-PM1B1=904569000, B2=137332171046070
2025-12-16ViliamFNF-PM1B1=100000000, B2=2097943848000
2022-11-08Nick ThorpeCERT
Proof certified good
2022-11-08LordJuliusC-PRPM109139/218279/393222405671193391/192691201780547071160359 : 552A4C2A7F4C1402
Proof Not Uploaded

Proof Power: 5

2022-05-12Jorge CoveiroC-PRPM109139/218279 : 552A4C2A7F4C1402
Proof Not Uploaded

Proof Power: 5

2022-05-07LordJuliusNFno factor TF: 61-62
2022-05-07LordJuliusNFno factor TF: 62-63
2022-05-07LordJuliusNFno factor TF: 60-61
2022-05-07LordJuliusNFno factor TF: 59-60
2022-05-07LordJuliusNFno factor TF: 57-58
2022-04-15LordJuliusC-PRPM109139/218279/393222405671193391/192691201780547071160359 : 552A4C2A7F4C1402
Proof Not Uploaded

Proof Power: 5

2020-04-17Oliver KruseC-PRPM109139/218279/393222405671193391/192691201780547071160359 : 552A4C2A7F4C1402
2017-10-13kkmrkkblmbrbkC-PRPM109139/218279/393222405671193391/192691201780547071160359 : 79738B29696FC979
2017-10-09Chang Chia-TcheC-PRPM109139/known_factors : 79738B29696FC979
2017-09-21Oliver KruseC-PRPM109139/218279/393222405671193391/192691201780547071160359 : 79738B29696FC979
2016-12-10kkmrkkblmbrbkNF-PM1B1=100000000, B2=2000000000, E=12
2014-04-22TJAOIF-ECMFactor: 192691201780547071160359
2008-08-26-anonymous-F-ECMFactor: 393222405671193391