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
109589
Composite, with 2 known prime factors. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
27835607824.7old
735300894550280331756.02010-02-20 13:22:54
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000728 / 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 Kruse63266CCDD416EE622013
Verified
No proof (small exponent)
2017-10-13kkmrkkblmbrbk63266CCDD416EE6227974413
Verified
No proof (small exponent)
2020-04-17Oliver Kruse6CDE3163E2D2AEDA21176953
Verified
Not Uploaded
2022-04-15LordJulius6CDE3163E2D2AEDA28941853
Verified
Certified Good
2022-11-11LordJulius6CDE3163E2D2AEDA27100953
History
DateUserTypeResult
2026-02-10Jason LynchNF-PM1B1=418891000, B2=229239762651900
2025-12-17ViliamFNF-PM1B1=100000000, B2=2386922057520
2022-11-11curtiscCERT
Proof certified good
2022-11-11LordJuliusC-PRPM109589/27835607/73530089455028033 : 6CDE3163E2D2AEDA
Proof Not Uploaded

Proof Power: 5

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: 61-62
2022-05-07LordJuliusNFno factor TF: 57-58
2022-05-07LordJuliusNFno factor TF: 58-59
2022-04-15LordJuliusC-PRPM109589/27835607/73530089455028033 : 6CDE3163E2D2AEDA
Proof Not Uploaded

Proof Power: 5

2020-04-17Oliver KruseC-PRPM109589/27835607/73530089455028033 : 6CDE3163E2D2AEDA
2017-10-13kkmrkkblmbrbkC-PRPM109589/27835607/73530089455028033 : 63266CCDD416EE62
2017-09-21Oliver KruseC-PRPM109589/27835607/73530089455028033 : 63266CCDD416EE62
2017-09-21Oliver KruseC-PRPM109589/27835607/73530089455028033 : 63266CCDD416EE62
2016-12-10kkmrkkblmbrbkNF-PM1B1=100000000, B2=2000000000, E=12
2010-02-20Rob_DeeF-ECMFactor: 73530089455028033