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
109847
Composite, with 5 known prime factors. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
53893511049659578811962.22010-03-02 21:24:03
69911728860891970071962.62009-03-05 15:09:19
383968691963541439212065.1old
6842622695957647474312169.22014-08-04 11:21:49
351327751931926081306972374.92011-01-05 17:48:36
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000732 / 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 KruseFAC2B9D30B81489E5013
Verified
No proof (small exponent)
2017-10-09Chang Chia-TcheFAC2B9D30B81489E5013
Verified
No proof (small exponent)
2017-10-13kkmrkkblmbrbkFAC2B9D30B81489E58348613
Verified
No proof (small exponent)
2020-04-17Oliver Kruse68090687ECC3885356642953
Verified
Not Uploaded
2022-04-15LordJulius68090687ECC3885359920853
Verified
Certified Good
2022-11-11LordJulius68090687ECC3885359691353
History
DateUserTypeResult
2026-02-11Jason LynchNF-PM1B1=893574000, B2=137332171046070
2025-12-17ViliamFNF-PM1B1=100000000, B2=2386922057520
2022-11-11curtiscCERT
Proof certified good
2022-11-11LordJuliusC-PRPM109847/5389351104965957881/6991172886089197007/38396869196354143921/684262269595764747431/35132775193192608130697 : 68090687ECC38853
Proof Not Uploaded

Proof Power: 5

2022-05-07LordJuliusNFno factor TF: 60-61
2022-05-07LordJuliusNFno factor TF: 61-62
2022-05-07LordJuliusNFno factor TF: 58-59
2022-05-07LordJuliusNFno factor TF: 59-60
2022-05-07LordJuliusNFno factor TF: 57-58
2022-05-07LordJuliusNFno factor TF: 1-57
2022-04-15LordJuliusC-PRPM109847/5389351104965957881/6991172886089197007/38396869196354143921/684262269595764747431/35132775193192608130697 : 68090687ECC38853
Proof Not Uploaded

Proof Power: 5

2020-04-17Oliver KruseC-PRPM109847/5389351104965957881/6991172886089197007/38396869196354143921/684262269595764747431/35132775193192608130697 : 68090687ECC38853
2018-10-26J.R. AllenNFno factor TF: 1-57
2017-10-13kkmrkkblmbrbkC-PRPM109847/5389351104965957881/6991172886089197007/38396869196354143921/684262269595764747431/35132775193192608130697 : FAC2B9D30B81489E
2017-10-09Chang Chia-TcheC-PRPM109847/known_factors : FAC2B9D30B81489E
2017-09-21Oliver KruseC-PRPM109847/known_factors : FAC2B9D30B81489E
2017-09-21Oliver KruseC-PRPM109847/known_factors : FAC2B9D30B81489E
2016-12-10kkmrkkblmbrbkNF-PM1B1=100000000, B2=2000000000, E=12
2014-08-04TJAOIF-ECMFactor: 684262269595764747431
2011-01-05Rob_DeeF-ECMFactor: 35132775193192608130697
2010-03-02Rob_DeeF-ECMFactor: 5389351104965957881
2009-03-05-anonymous-F-ECMFactor: 6991172886089197007