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
2311079
Composite, with 3 known prime factors. Cofactor is composite.
Trial Factored to 268
TF target 262
Factored
FactorDigitsBitsDate
18488633824.1old
1622562344331237.22008-07-14 20:22:56
575731915960248726259666226812995.52025-10-21 10:55:48
ECM
DigitsB1Curves
2550000280 / 280
30250000126 / 640
Estimated T-Level: 26.0
TF below 2^81 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusProofDateUserResidueNumber of
known factors
ShiftTypeBase
Factored
PRP without proof (not generated)
2017-10-11Oliver KruseC226F1E4768E43E92013
Factored
PRP without proof (not generated)
2017-11-22storm5510C226F1E4768E43E92171751213
Verified
Certified Good
2025-10-27Michel Yamagishi6A89D768DFC5ADB3338621053
History
DateUserTypeResult
2025-10-27paulieCERT
Proof certified good
2025-10-27Michel YamagishiC-PRPM2311079/18488633/162256234433/57573191596024872625966622681 : 6A89D768DFC5ADB3
Proof Certified Good

Proof Power: 7

2025-10-21TJAOIF-ECMFactor: 57573191596024872625966622681 / ECM curve 10, B1=250000, B2=254050335, Edwards Sigma=3487126625035344
2021-04-27ViliamFNF-PM1B1=5000000, B2=505000000
2018-02-26alpertronNF-PM1B1=500000, B2=15000000, E=12
2017-11-22storm5510C-PRPM2311079/18488633/162256234433 : C226F1E4768E43E9
2017-10-11Oliver KruseC-PRPM2311079/18488633/162256234433 : C226F1E4768E43E9
2008-07-14George WoltmanF-ECMFactor: 162256234433