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
159853Factored
FactorDigitsBitsDate
45886509969928767233048472581.92009-01-12 10:55:23
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000169 / 1566
Estimated T-Level: 30.5
TF below 2^96 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)Gary Gostin35930
Verified (Factored)Amdahl 6 - 19893E93B5930
Verified (Factored)Brian J. BeesleyF96FAD5ABE93B5930
Verified (Factored)Eivind TrielF96FAD5ABE93B593104083
Verified (Factored)2001-01-28Brian J. BeesleyF96FAD5ABE93B593142584
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-22Oliver KruseE81A9EBCA4C91C821013
Verified2017-09-22Oliver KruseE81A9EBCA4C91C821013
Verified2017-11-06kkmrkkblmbrbkE81A9EBCA4C91C8212543213
Verified2020-04-17Oliver Kruse8255C0F141C5952B14084353
Verified2024-02-03Wentao Huang8255C0F141C5952B114224953
History
DateUserTypeResult
2024-02-03Naegi MakotoCERT
PRP Certification
Proof certified good
2024-02-03Wentao HuangC-PRP
M159853/4588650996992876723304847 : 8255C0F141C5952B
PRP proof power = 5
PRP: Verified
Proof certified good
2022-03-07LordJuliusNF
no factor from 2^57 to 2^58
2022-03-07LordJuliusNF
no factor from 2^54 to 2^55
2020-04-17Oliver KruseC-PRP
M159853/4588650996992876723304847 : 8255C0F141C5952B
PRP: Verified
PRP without proof (small exponent)
2017-11-06kkmrkkblmbrbkC-PRP
M159853/4588650996992876723304847 : E81A9EBCA4C91C82
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M159853/4588650996992876723304847 : E81A9EBCA4C91C82
PRP: Verified
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M159853/4588650996992876723304847 : E81A9EBCA4C91C82
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M159853/4588650996992876723304847 : E81A9EBCA4C91C82
PRP without proof (not generated)
2017-01-07kkmrkkblmbrbkNF-PM1
B1=100000000, B2=2000000000, E=12
2009-01-12axnF-ECM
Factor: 4588650996992876723304847
2008-12-31Sturle SundeNF
no factor from 2^58 to 2^59