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:










MnStatusDetails
108739Factored
FactorDigitsBitsDate
6959297722.7old
37469284631031.82008-07-26 09:17:08
856593647291136.32008-07-26 09:17:08
18272401036521161741732247140893061260857742137.12016-12-03 16:24:37
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000251 / 1566
Estimated T-Level: 30.8 ⓘ
TF below 2^97 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2017-09-21Oliver Kruse1C5A5A60A72415B64013
Verified2017-10-09Chang Chia-Tche1C5A5A60A72415B64013
Verified2017-10-13kkmrkkblmbrbk1C5A5A60A72415B649929813
Verified2020-04-17Oliver Kruse9A9EA75B48C3F8BD43927253
Verified2022-04-15LordJulius9A9EA75B48C3F8BD45306053
Verified2022-11-07LordJulius9A9EA75B48C3F8BD410205853
P-1 factors
DateFactorB1B2
2016-12-031827240103652116174173224714089306126085771000000002000000000
History
DateUserTypeResult
2022-11-07Johannes NCERT
PRP Certification
Proof certified good
2022-11-07LordJuliusC-PRP
M108739/6959297/3746928463/85659364729/182724010365211617417322471408930612608577 : 9A9EA75B48C3F8BD
PRP proof power = 5
PRP: Verified
Proof certified good
2022-05-07LordJuliusNF
no factor from 2^62 to 2^63
2022-05-07LordJuliusNF
no factor from 2^61 to 2^62
2022-05-07LordJuliusNF
no factor from 2^60 to 2^61
2022-05-07LordJuliusNF
no factor from 2^59 to 2^60
2022-05-07LordJuliusNF
no factor from 2^58 to 2^59
2022-05-07LordJuliusNF
no factor from 2^57 to 2^58
2022-04-15LordJuliusC-PRP
M108739/6959297/3746928463/85659364729/182724010365211617417322471408930612608577 : 9A9EA75B48C3F8BD
PRP proof power = 5
PRP: Verified
PRP proof never uploaded
2020-04-17Oliver KruseC-PRP
M108739/6959297/3746928463/85659364729/182724010365211617417322471408930612608577 : 9A9EA75B48C3F8BD
PRP: Verified
PRP without proof (small exponent)
2017-10-13kkmrkkblmbrbkC-PRP
M108739/6959297/3746928463/85659364729/182724010365211617417322471408930612608577 : 1C5A5A60A72415B6
PRP: Verified
PRP without proof (not generated)
2017-10-09Chang Chia-TcheC-PRP
M108739/known_factors : 1C5A5A60A72415B6
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M108739/6959297/3746928463/85659364729/182724010365211617417322471408930612608577 : 1C5A5A60A72415B6
PRP without proof (not generated)
2016-12-03kkmrkkblmbrbkF-PM1
Factor: 182724010365211617417322471408930612608577 / (P-1, B1=100000000, B2=2000000000, E=12)
2008-07-26J FeitsmaF
Factor: 85659364729
2008-07-26J FeitsmaF
Factor: 3746928463