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
157991Factored
FactorDigitsBitsDate
754340103973241402419556332686.02009-01-12 02:14:19
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000172 / 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 Gostin0B550
Verified (Factored)Amdahl 6 - 1989159A0B550
Verified (Factored)George Johnston62F7F308559A0B550
Verified (Factored)Brian J. Beesley62F7F308559A0B550
Verified (Factored)Eivind Triel62F7F308559A0B5544217
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2017-09-22Oliver Kruse62D74AF5B1D6A49E1013
Verified2017-10-11kkmrkkblmbrbk62D74AF5B1D6A49E12099913
Verified2020-04-17Oliver KruseE282BBF760A20139112905153
Verified2024-02-03Wentao HuangE282BBF760A2013912887753
History
DateUserTypeResult
2024-02-03Naegi MakotoCERT
PRP Certification
Proof certified good
2024-02-03Wentao HuangC-PRP
M157991/75434010397324140241955633 : E282BBF760A20139
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
M157991/75434010397324140241955633 : E282BBF760A20139
PRP: Verified
PRP without proof (small exponent)
2017-10-11kkmrkkblmbrbkC-PRP
M157991/75434010397324140241955633 : 62D74AF5B1D6A49E
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M157991/75434010397324140241955633 : 62D74AF5B1D6A49E
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M157991/75434010397324140241955633 : 62D74AF5B1D6A49E
PRP without proof (not generated)
2016-12-24kkmrkkblmbrbkNF-PM1
B1=100000000, B2=2000000000, E=12
2009-01-12axnF-ECM
Factor: 75434010397324140241955633
2009-01-02Sturle SundeNF
no factor from 2^58 to 2^59