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
857723Factored
FactorDigitsBitsDate
2751450876918660012702492477.92019-02-27 21:53:31
ECM
DigitsB1Curves
2550000280 / 280
30250000189 / 640
Estimated T-Level: 26.5 ⓘ
TF below 2^83 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David Slowinski141C0
Verified (Factored)shelley giles550D8E9FE3FF941C0
Verified (Factored)2002-01-08Marc Getty / Phil Fizur550D8E9FE3FF941C602555
Verified (Factored)2015-04-11MadPoo550D8E9FE3FF941C555052
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2019-02-27ATH8586B2932B88C06B14316553
Verified2019-02-27alex8586B2932B88C06B164435453
Verified2019-02-28kkmrkkblmbrbk8586B2932B88C06B128021953
History
DateUserTypeResult
2022-03-07LordJuliusNF
no factor from 2^58 to 2^59
2019-02-28kkmrkkblmbrbkC-PRP
M857723/275145087691866001270249 : 8586B2932B88C06B
PRP: Verified
PRP without proof (small exponent)
2019-02-27alexC-PRP
M857723/275145087691866001270249 : 8586B2932B88C06B
PRP: Verified
PRP without proof (small exponent)
2019-02-27ATHC-PRP
M857723/275145087691866001270249 : 8586B2932B88C06B
PRP: Verified
PRP without proof (small exponent)
2019-02-27alexF-ECM
Factor: 275145087691866001270249 / (ECM curve 133, B1=250000, B2=25000000)
2018-04-13Smok_bmv NF
no factor from 2^67 to 2^68
2018-04-13Smok_bmv NF
no factor from 2^66 to 2^67
2018-04-13Smok_bmv NF
no factor from 2^65 to 2^66
2016-02-02lycornNF
no factor from 2^64 to 2^65
2015-11-30Sid & AndyNF-PM1
B1=8577230, B2=257316900, 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
550D8E9FE3FF941C
2015-02-13TJAOINF
no factor from 2^61 to 2^62
2010-05-22Architects CubedNF
no factor from 2^60 to 2^61
2010-01-14BigBrotherNF-PM1
B1=2000000, B2=40000000, E=12
2009-08-31Carsten KossendeyNF-PM1
B1=857723