Marin Mersenne 2^P-1
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Finding World Record Primes Since 1996

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MnStatusDetails
256831Composite, with 4 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
86295217826.4old
134065783927.02008-07-21 09:15:07
13684001909591340.32008-07-21 09:15:07
17249109512963635090792270.52014-09-15 12:10:09
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000203 / 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 Kruse3DA659249F905BB24013
Verified2017-09-29alpertron3DA659249F905BB24013
Verified2017-12-07ATH3DA659249F905BB248845913
Verified2020-04-17Oliver Kruse56ACB44E97B7E43C411069753
Verified2024-07-01kkmrkkblmbrbk56ACB44E97B7E43C48900553
History
DateUserTypeResult
2024-07-02LOBESCERT
PRP Certification
Proof certified good
2024-07-01kkmrkkblmbrbkC-PRP
M256831/134065783/1368400190959/1724910951296363509079/86295217 : 56ACB44E97B7E43C
PRP proof power = 5
PRP: Verified
Proof certified good
2022-04-28Oliver KruseNF-PM1
B1=30000000, B2=10035812696910
2021-08-16Oliver KruseNF-PM1
B1=30000000, B2=3000000000, E=24
2020-04-17Oliver KruseC-PRP
M256831/86295217/134065783/1368400190959/1724910951296363509079 : 56ACB44E97B7E43C
PRP: Verified
PRP without proof (small exponent)
2017-12-07ATHC-PRP
M256831/86295217/134065783/1368400190959/1724910951296363509079 : 3DA659249F905BB2
PRP: Verified
PRP without proof (small exponent)
2017-09-29alpertronC-PRP
M256831/86295217/134065783/1368400190959/1724910951296363509079 : 3DA659249F905BB2
PRP: Verified
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M256831/86295217/134065783/1368400190959/1724910951296363509079 : 3DA659249F905BB2
PRP without proof (not generated)
2014-09-15TJAOIF-ECM
Factor: 1724910951296363509079 / (ECM curve 27, B1=50000, B2=5000000)
2008-07-21J FeitsmaF
Factor: 1368400190959
2008-07-21J FeitsmaF
Factor: 134065783