Marin Mersenne 2^P-1
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GIMPS
Finding World Record Primes Since 1996

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Exponent Range:










MnStatusDetails
111337Composite, with 4 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
4453481722.1old
58739174471032.52008-07-26 09:17:14
303378391918194791754.82008-12-04 22:26:42
4393045933577789831858.62008-12-04 22:26:44
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000529 / 1566
Estimated T-Level: 31.7 ⓘ
TF below 2^100 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2017-09-21Oliver Kruse08974C7C78C867724013
Verified2017-10-09Chang Chia-Tche08974C7C78C867724013
Verified2017-10-13kkmrkkblmbrbk08974C7C78C8677242343013
Verified2020-04-17Oliver KruseECE43D3DC7221D944346953
Verified2022-04-15LordJuliusECE43D3DC7221D9447895553
Verified2022-11-11LordJuliusECE43D3DC7221D9444124953
History
DateUserTypeResult
2022-11-11sveng101CERT
PRP Certification
Proof certified good
2022-11-11LordJuliusC-PRP
M111337/4453481/5873917447/30337839191819479/439304593357778983 : ECE43D3DC7221D94
PRP proof power = 5
PRP: Verified
Proof certified good
2022-05-08LordJuliusNF
no factor from 2^62 to 2^63
2022-05-08LordJuliusNF
no factor from 2^61 to 2^62
2022-05-08LordJuliusNF
no factor from 2^60 to 2^61
2022-05-08LordJuliusNF
no factor from 2^59 to 2^60
2022-05-08LordJuliusNF
no factor from 2^57 to 2^58
2022-04-15LordJuliusC-PRP
M111337/4453481/5873917447/30337839191819479/439304593357778983 : ECE43D3DC7221D94
PRP proof power = 5
PRP: Verified
PRP proof never uploaded
2020-04-17Oliver KruseC-PRP
M111337/4453481/5873917447/30337839191819479/439304593357778983 : ECE43D3DC7221D94
PRP: Verified
PRP without proof (small exponent)
2017-10-13kkmrkkblmbrbkC-PRP
M111337/4453481/5873917447/30337839191819479/439304593357778983 : 08974C7C78C86772
PRP: Verified
PRP without proof (not generated)
2017-10-09Chang Chia-TcheC-PRP
M111337/known_factors : 08974C7C78C86772
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M111337/known_factors : 08974C7C78C86772
PRP without proof (not generated)
2016-12-21kkmrkkblmbrbkNF-PM1
B1=100000000, B2=2000000000, E=12
2008-12-04Matthias WurtingerF-ECM
Factor: 439304593357778983
2008-12-04Matthias WurtingerF-ECM
Factor: 30337839191819479
2008-07-26J FeitsmaF
Factor: 5873917447