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
8314289
Composite, with 5 known prime factors. Cofactor is composite.
Trial Factored to 272
TF target 268
Factored
FactorDigitsBitsDate
1759137266631237.4old
28702245730447699478872271.32025-03-14 01:58:01
65401802707982392462012272.52025-03-14 01:58:01
71551374390040372078972272.62025-03-14 01:58:01
16643998609243831752301761292890.42024-06-07 17:49:21
P-1 factors
DateFactorsB1B2
2025-03-142870224573044769947887
6540180270798239246201
7155137439004037207897
16900006798611820
2024-06-071664399860924383175230176129
14060001406000
PRP Cofactor
StatusProofDateUserResidueNumber of
known factors
ShiftTypeBase
Factored
PRP without proof (not generated)
2018-10-07rucio4B8AF4087DB55C791188062453
Factored
PRP without proof (not generated)
2020-04-18arnaud4B8AF4087DB55C791430453453
Factored
Certified Good
2024-06-13dnova4B8AF4087DB55C792135938953
Verified
Certified Good
2025-03-14beep4B8AF4087DB55C79586943853
History
DateUserTypeResult
2025-03-29beepFFactor: 2870224573044769947887 / TF: 68-72
2025-03-14ohne-maklerCERT
Proof certified good
2025-03-14beepC-PRPM8314289/175913726663/2870224573044769947887/6540180270798239246201/7155137439004037207897/1664399860924383175230176129 : 4B8AF4087DB55C79
Proof Certified Good

Proof Power: 8

2025-03-14beepF-PM1Factors: 2870224573044769947887,6540180270798239246201,7155137439004037207897 / B1=1690000, B2=6798611820
2024-06-13Michal MilsimrCERT
Proof certified good
2024-06-13dnovaC-PRPM8314289/175913726663/1664399860924383175230176129 : 4B8AF4087DB55C79
Proof Certified Good

Proof Power: 8

2024-06-07Stef42F-PM1Factor: 1664399860924383175230176129 / B1=1406000
2020-04-18arnaudC-PRPM8314289/175913726663 : 4B8AF4087DB55C79
2018-10-07rucioC-PRPM8314289/175913726663 : 4B8AF4087DB55C79