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
109537
Composite, with 3 known prime factors. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
11959249671030.2old
8676054443994766831672169.62010-02-18 14:30:17
16840608145334771473388712580.52016-12-07 22:05:01
P-1 factors
DateFactorsB1B2
2016-12-071684060814533477147338871
1000000000
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000731 / 1566
Estimated T-Level: 32.3
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 Kruse343E2EAA3C68B5843013
Verified
No proof (small exponent)
2017-10-09Chang Chia-Tche343E2EAA3C68B5843013
Verified
No proof (small exponent)
2017-10-13kkmrkkblmbrbk343E2EAA3C68B58436058513
Verified
No proof (small exponent)
2020-04-17Oliver Kruse15542C778406E49A35479453
Verified
Not Uploaded
2022-04-15LordJulius15542C778406E49A33248553
Verified
Certified Good
2022-11-11LordJulius15542C778406E49A310570753
History
DateUserTypeResult
2025-08-31masserNF-PM1B1=380000000, B2=43469437491480
2024-10-08timc995NF-PM1B1=1300000, B2=2470063445850
2022-11-11curtiscCERT
Proof certified good
2022-11-11LordJuliusC-PRPM109537/1195924967/867605444399476683167/1684060814533477147338871 : 15542C778406E49A
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: 59-60
2022-05-07LordJuliusNFno factor TF: 60-61
2022-05-07LordJuliusNFno factor TF: 57-58
2022-05-07LordJuliusNFno factor TF: 58-59
2022-04-15LordJuliusC-PRPM109537/1195924967/867605444399476683167/1684060814533477147338871 : 15542C778406E49A
Proof Not Uploaded

Proof Power: 5

2020-04-17Oliver KruseC-PRPM109537/1195924967/867605444399476683167/1684060814533477147338871 : 15542C778406E49A
2017-10-13kkmrkkblmbrbkC-PRPM109537/1195924967/867605444399476683167/1684060814533477147338871 : 343E2EAA3C68B584
2017-10-09Chang Chia-TcheC-PRPM109537/known_factors : 343E2EAA3C68B584
2017-09-21Oliver KruseC-PRPM109537/known_factors : 343E2EAA3C68B584
2016-12-07kkmrkkblmbrbkF-PM1Factor: 1684060814533477147338871 / B1=100000000
2010-02-18Rob_DeeF-ECMFactor: 867605444399476683167