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
167593Factored
FactorDigitsBitsDate
7470477300094368626047346392789.32014-12-12 13:37:07
59087911978705537148838801372892.32009-01-16 12:05:41
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000167 / 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)Amdahl 6 - 198920FB2E1F0
Verified (Factored)Herb Savage4FEED9E260FB2E1F0
Verified (Factored)Brian J. Beesley4FEED9E260FB2E1F0
Verified (Factored)Eivind Triel4FEED9E260FB2E1F101758
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-22Oliver Kruse1F74014F7DC9802E2013
Verified2017-10-12kkmrkkblmbrbk1F74014F7DC9802E213467513
Verified2020-04-17Oliver KruseE02E4F4EFB22513829693953
Verified2024-02-03Wentao HuangE02E4F4EFB22513822656353
History
DateUserTypeResult
2024-02-03curtiscCERT
PRP Certification
Proof certified good
2024-02-03Wentao HuangC-PRP
M167593/5908791197870553714883880137/747047730009436862604734639 : E02E4F4EFB225138
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
M167593/747047730009436862604734639/5908791197870553714883880137 : E02E4F4EFB225138
PRP: Verified
PRP without proof (small exponent)
2017-10-12kkmrkkblmbrbkC-PRP
M167593/5908791197870553714883880137/747047730009436862604734639 : 1F74014F7DC9802E
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M167593/5908791197870553714883880137/747047730009436862604734639 : 1F74014F7DC9802E
PRP without proof (not generated)
2017-05-18kkmrkkblmbrbkNF-PM1
B1=100000000, B2=2000000000, E=12
2014-12-12TJAOIF-ECM
Factor: 747047730009436862604734639 / (ECM curve 48, B1=50000, B2=5000000)
2009-01-16axnF-ECM
Factor: 5908791197870553714883880137
2009-01-01Sturle SundeNF
no factor from 2^58 to 2^59