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
582851Factored
FactorDigitsBitsDate
32639657825.0old
328739621031134.92008-07-21 09:22:04
41947503458453148307205532581.82022-12-25 20:55:47
5995928711854113070349057272789.02021-11-11 10:30:09
ECM
DigitsB1Curves
2550000280 / 280
30250000210 / 640
Estimated T-Level: 26.6
TF below 2^83 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified (Factored)2017-09-27Oliver KruseBAE2D90FD54186B12013
Verified (Factored)2017-09-28Oliver KruseBAE2D90FD54186B12013
Verified (Factored)2017-11-08kkmrkkblmbrbkBAE2D90FD54186B1250187913
Verified (Factored)2020-04-19Oliver Kruse6CF62FEDC9A7A8FB239414253
Verified (Factored)2021-11-11SRJ28776CF62FEDC9A7A8FB338069353
Verified2022-12-26LordJulius6CF62FEDC9A7A8FB455320253
P-1 factors
DateFactorB1B2
2022-12-25419475034584531483072055317500005399784390
History
DateUserTypeResult
2022-12-26curtiscCERT
PRP Certification
Proof certified good
2022-12-26LordJuliusC-PRP
M582851/32639657/32873962103/4194750345845314830720553/599592871185411307034905727 : 6CF62FEDC9A7A8FB
PRP proof power = 6
PRP: Verified
Proof certified good
2022-12-25USAFSSF-PM1
Factor: 4194750345845314830720553 / (P-1, B1=1750000, B2=5399784390)
2021-11-11James HeinrichCERT
PRP Certification
Proof certified good
2021-11-11SRJ2877C-PRP
M582851/32639657/32873962103/599592871185411307034905727 : 6CF62FEDC9A7A8FB
PRP proof power = 6
PRP: Verified (Factored)
Proof certified good
2021-11-11TJAOIF-ECM
Factor: 599592871185411307034905727 / (ECM curve 76, B1=250000, B2=35000000)
2020-04-19Oliver KruseC-PRP
M582851/32639657/32873962103 : 6CF62FEDC9A7A8FB
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-11-08kkmrkkblmbrbkC-PRP
M582851/32639657/32873962103 : BAE2D90FD54186B1
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-09-28Oliver KruseC-PRP
M582851/32639657/32873962103 : BAE2D90FD54186B1
PRP: Verified (Factored)
PRP without proof (not generated)
2017-09-27Oliver KruseC-PRP
M582851/32639657/32873962103 : BAE2D90FD54186B1
PRP: Verified (Factored)
PRP without proof (not generated)
2008-07-21J FeitsmaF
Factor: 32873962103