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
109097
Composite, with 5 known prime factors. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
732040871929.4old
26661124871031.32008-07-26 09:17:10
17035470366731340.62008-07-26 09:17:10
24648738474630142583241723592891.02016-12-05 11:38:22
439056178052108771188785837871331101.82016-12-05 11:38:22
P-1 factors
DateFactorsB1B2
2016-12-052464873847463014258324172359
1000000002000000000
2016-12-054390561780521087711887858378713
1000000002000000000
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000751 / 1566
Estimated T-Level: 32.4
TF below 2^103 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 Kruse55A06A6B0D3855E05013
Verified
No proof (small exponent)
2017-10-09Chang Chia-Tche55A06A6B0D3855E05013
Verified
No proof (small exponent)
2017-10-13kkmrkkblmbrbk55A06A6B0D3855E055435013
Verified
No proof (small exponent)
2020-04-17Oliver Kruse3151FEE4600D60E65653553
Verified
Not Uploaded
2022-04-15LordJulius3151FEE4600D60E654165753
Verified
Certified Good
2022-11-08LordJulius3151FEE4600D60E659123753
History
DateUserTypeResult
2026-02-10Jason LynchNF-PM1B1=906125000, B2=137332171046070
2025-12-16ViliamFNF-PM1B1=100000000, B2=2097943848000
2022-11-08Will KCERT
Proof certified good
2022-11-08LordJuliusC-PRPM109097/732040871/2666112487/1703547036673/2464873847463014258324172359/4390561780521087711887858378713 : 3151FEE4600D60E6
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
2022-05-07LordJuliusNFno factor TF: 58-59
2022-04-15LordJuliusC-PRPM109097/732040871/2666112487/1703547036673/2464873847463014258324172359/4390561780521087711887858378713 : 3151FEE4600D60E6
Proof Not Uploaded

Proof Power: 5

2020-04-17Oliver KruseC-PRPM109097/732040871/2666112487/1703547036673/2464873847463014258324172359/4390561780521087711887858378713 : 3151FEE4600D60E6
2018-10-26J.R. AllenNFno factor TF: 41-57
2017-10-13kkmrkkblmbrbkC-PRPM109097/732040871/2666112487/1703547036673/2464873847463014258324172359/4390561780521087711887858378713 : 55A06A6B0D3855E0
2017-10-09Chang Chia-TcheC-PRPM109097/known_factors : 55A06A6B0D3855E0
2017-09-21Oliver KruseC-PRPM109097/known_factors : 55A06A6B0D3855E0
2017-09-21Oliver KruseC-PRPM109097/known_factors : 55A06A6B0D3855E0
2016-12-05kkmrkkblmbrbkF-PM1Factor: 10822180908477075839459882164528930998148482084039308593967 / B1=100000000, B2=2000000000
2008-07-26J FeitsmaFFactor: 2666112487
2008-07-26J FeitsmaFFactor: 1703547036673