Marin Mersenne 2^P-1
Username
Password
Forgot password?
Black
Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

Exponent Range:










MnStatusDetails
286499Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
3118321725738134050383729115193098.02012-08-07 11:55:37
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000201 / 1566
Estimated T-Level: 30.6
TF below 2^97 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David Slowinski5DA00
Verified (Factored)Unknown5DA00
Verified (Factored)Brian J. Beesley6E21A1CF4D5ADDA00
Verified (Factored)Eivind Triel6E21A1CF4D5ADDA0196418
Verified (Factored)2002-03-03Brian J. Beesley6E21A1CF4D5ADDA0216196
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-22Oliver KruseF6B03E25FD0931331013
Verified2017-09-24Oliver KruseF6B03E25FD0931331013
Verified2017-11-06kkmrkkblmbrbkF6B03E25FD093133126145713
Verified2020-04-17Oliver KruseA1F7495D44830495122855353
Verified2024-08-12kkmrkkblmbrbkA1F7495D4483049514042953
P-1 factors
DateFactorB1B2
2012-08-0731183217257381340503837291151910000000400000000
History
DateUserTypeResult
2024-11-13yuriy_5-1NF-PM1
B1=26357908, B2=6442766380050
2024-08-13riccardo ubertiCERT
PRP Certification
Proof certified good
2024-08-12kkmrkkblmbrbkC-PRP
M286499/311832172573813405038372911519 : A1F7495D44830495
PRP proof power = 5
PRP: Verified
Proof certified good
2022-03-07LordJuliusNF
no factor from 2^54 to 2^55
2020-04-17Oliver KruseC-PRP
M286499/311832172573813405038372911519 : A1F7495D44830495
PRP: Verified
PRP without proof (small exponent)
2017-11-06kkmrkkblmbrbkC-PRP
M286499/311832172573813405038372911519 : F6B03E25FD093133
PRP: Verified
PRP without proof (small exponent)
2017-09-24Oliver KruseC-PRP
M286499/311832172573813405038372911519 : F6B03E25FD093133
PRP: Verified
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M286499/311832172573813405038372911519 : F6B03E25FD093133
PRP: Verified
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M286499/311832172573813405038372911519 : F6B03E25FD093133
PRP without proof (not generated)
2012-08-07markrF-PM1
Factor: 311832172573813405038372911519
2011-07-24JossNF-PM1
B1=1680057
2011-06-27JossNF-PM1
B1=1008034
2009-01-25Sturle SundeNF
no factor from 2^59 to 2^60
2009-01-03Sturle SundeNF
no factor from 2^58 to 2^59