Marin Mersenne 2^P-1
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Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

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Exponent Range:










MnStatusDetails
856411Factored
FactorDigitsBitsDate
234199096733225369048006114232994.22019-03-02 06:21:26
ECM
DigitsB1Curves
2550000280 / 280
30250000112 / 640
Estimated T-Level: 25.9 ⓘ
TF below 2^81 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David Slowinski336B0
Verified (Factored)Horng-Ming Chen7261D8E64234B36B0
Verified (Factored)2001-08-31Brian J. Beesley7261D8E64234B36B159082
Verified (Factored)2015-04-11MadPoo7261D8E64234B36B676680
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2019-03-02alexC1A6AA6DFA17955C17653253
Verified2019-03-02kkmrkkblmbrbkC1A6AA6DFA17955C143713753
History
DateUserTypeResult
2019-03-02kkmrkkblmbrbkC-PRP
M856411/23419909673322536904800611423 : C1A6AA6DFA17955C
PRP: Verified
PRP without proof (small exponent)
2019-03-02alexC-PRP
M856411/23419909673322536904800611423 : C1A6AA6DFA17955C
PRP: Verified
PRP without proof (small exponent)
2019-03-02alexF-ECM
Factor: 23419909673322536904800611423 / (ECM curve 56, B1=250000, B2=25000000)
2018-04-09Smok_bmv NF
no factor from 2^67 to 2^68
2018-04-06Smok_bmv NF
no factor from 2^66 to 2^67
2018-04-06Smok_bmv NF
no factor from 2^65 to 2^66
2016-02-02lycornNF
no factor from 2^64 to 2^65
2015-12-04Sid & AndyNF-PM1
B1=8564110, B2=256923300, E=12
2015-10-06Gordon SpenceNF
no factor from 2^63 to 2^64
2015-10-06Gordon SpenceNF
no factor from 2^62 to 2^63
2015-04-11MadPooC-LL
7261D8E64234B36B
2015-02-13TJAOINF
no factor from 2^61 to 2^62
2010-05-20Architects CubedNF
no factor from 2^60 to 2^61
2010-01-11BigBrotherNF-PM1
B1=2000000, B2=40000000, E=12
2009-08-30Carsten KossendeyNF-PM1
B1=856411
2008-10-13Sturle SundeNF
no factor from 2^59 to 2^60
2008-10-13Sturle SundeNF
no factor from 2^58 to 2^59