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
136417Factored
FactorDigitsBitsDate
10182699730726992366472600572811333106.32009-01-01 02:04:21
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000201 / 1566
Estimated T-Level: 30.6 ⓘ
TF below 2^97 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)Unknown3B360
Verified (Factored)Kevin Jaget6D4C7DC653683B360
Verified (Factored)Brian J. Beesley6D4C7DC653683B360
Verified (Factored)Eivind Triel6D4C7DC653683B3660328
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2017-09-22Oliver Kruse8A52373397E0BB2B1013
Verified2017-10-13kkmrkkblmbrbk8A52373397E0BB2B17017213
Verified2020-04-17Oliver KruseC15CAD85E4FD0DC317790853
Verified2024-02-03Wentao HuangC15CAD85E4FD0DC3113073853
History
DateUserTypeResult
2024-02-03Naegi MakotoCERT
PRP Certification
Proof certified good
2024-02-03Wentao HuangC-PRP
M136417/101826997307269923664726005728113 : C15CAD85E4FD0DC3
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
M136417/101826997307269923664726005728113 : C15CAD85E4FD0DC3
PRP: Verified
PRP without proof (small exponent)
2017-10-13kkmrkkblmbrbkC-PRP
M136417/101826997307269923664726005728113 : 8A52373397E0BB2B
PRP: Verified
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M136417/101826997307269923664726005728113 : 8A52373397E0BB2B
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M136417/101826997307269923664726005728113 : 8A52373397E0BB2B
PRP without proof (not generated)
2017-01-08kkmrkkblmbrbkNF-PM1
B1=100000000, B2=2000000000, E=12
2009-01-01axnF-ECM
Factor: 101826997307269923664726005728113
2008-12-31Sturle SundeNF
no factor from 2^58 to 2^59