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
186709Factored
FactorDigitsBitsDate
178456497179079756972064.0old
7721624516278585800172169.42007-08-27 20:41:58
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000202 / 1566
Estimated T-Level: 30.6 ⓘ
TF below 2^97 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2017-09-22Oliver Kruse369A4A3CDBB7B6772013
Verified2017-10-12kkmrkkblmbrbk369A4A3CDBB7B67725639113
Verified2020-04-17Oliver Kruse14F3EFF53A513FD523518153
Verified2023-08-24USAFSS14F3EFF53A513FD524715953
History
DateUserTypeResult
2023-08-24curtiscCERT
PRP Certification
Proof certified good
2023-08-24USAFSSC-PRP
M186709/17845649717907975697/772162451627858580017 : 14F3EFF53A513FD5
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
M186709/17845649717907975697/772162451627858580017 : 14F3EFF53A513FD5
PRP: Verified
PRP without proof (small exponent)
2017-10-12kkmrkkblmbrbkC-PRP
M186709/772162451627858580017/17845649717907975697 : 369A4A3CDBB7B677
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M186709/known_factors : 369A4A3CDBB7B677
PRP without proof (not generated)
2017-06-04kkmrkkblmbrbkNF-PM1
B1=100000000, B2=2000000000, E=12
2007-08-27Chad DavisF-ECM
Factor: 772162451627858580017