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
109859
Composite, with 3 known prime factors. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
116393940643211443.4old
284914484901191444.72008-07-26 09:17:11
13618670339353290731960.22008-12-02 16:22:23
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000716 / 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 Kruse55DF09AF0597ECB23013
Verified
No proof (small exponent)
2017-10-09Chang Chia-Tche55DF09AF0597ECB23013
Verified
No proof (small exponent)
2017-10-13kkmrkkblmbrbk55DF09AF0597ECB234360113
Verified
No proof (small exponent)
2020-04-17Oliver KruseF2A3BC76174ABE8139630953
Verified
Not Uploaded
2022-04-15LordJuliusF2A3BC76174ABE8138474953
Verified
Certified Good
2022-11-11LordJuliusF2A3BC76174ABE8135274653
History
DateUserTypeResult
2026-02-11Jason LynchNF-PM1B1=886899000, B2=137281887853110
2025-12-17ViliamFNF-PM1B1=100000000, B2=2386922057520
2022-11-11curtiscCERT
Proof certified good
2022-11-11LordJuliusC-PRP
Proof Certified Good

Proof Power: 5

2022-05-08LordJuliusNFno factor TF: 62-63
2022-05-08LordJuliusNFno factor TF: 61-62
2022-05-08LordJuliusNFno factor TF: 58-59
2022-05-08LordJuliusNFno factor TF: 59-60
2022-05-08LordJuliusNFno factor TF: 57-58
2022-04-15LordJuliusC-PRP
Proof Not Uploaded

Proof Power: 5

2020-04-17Oliver KruseC-PRP
M109859/11639394064321/28491448490119/1361867033935329073 : F2A3BC76174ABE81
2017-10-13kkmrkkblmbrbkC-PRPM109859/11639394064321/28491448490119/1361867033935329073 : 55DF09AF0597ECB2
2017-10-09Chang Chia-TcheC-PRPM109859/known_factors : 55DF09AF0597ECB2
2017-09-21Oliver KruseC-PRPM109859/known_factors : 55DF09AF0597ECB2
2016-12-10kkmrkkblmbrbkNF-PM1B1=100000000, B2=2000000000, E=12
2008-12-02Matthias WurtingerF-ECMFactor: 1361867033935329073
2008-07-26J FeitsmaFFactor: 28491448490119