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

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Exponent Range:










MnStatusDetails
13093Composite, with 2 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
32319813251616471651.5old
3431073376922177901951301912788.12008-08-29 02:24:32
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000001386 / 9201
Estimated T-Level: 40.8
TF below 2^130 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-21Oliver Kruse4425F181BC4AB2F52013
Verified2017-10-02kkmrkkblmbrbk4425F181BC4AB2F52013
Verified2017-12-07ATH4425F181BC4AB2F52404113
Verified2020-04-17Oliver KruseDFCBE9A7F46EB97E2670553
Verified2024-07-01kkmrkkblmbrbkDFCBE9A7F46EB97E2282553
P-1 factors
DateFactorB1B2
2023-10-10343107337692217790195130191100000000000122154521813133808
History
DateUserTypeResult
2024-07-01kkmrkkblmbrbkC-PRP
M13093/3231981325161647/343107337692217790195130191 : DFCBE9A7F46EB97E
PRP: Verified
PRP without proof (small exponent)
2023-10-10-Anonymous-F-PM1
Factor: 343107337692217790195130191 / (P-1, B1=100000000000, B2=122154521813133810)
2023-05-17JacobZNF-PM1
B1=8400000000, B2=34523926202766000
2022-02-05JossNF-PM1
B1=1000000, B2=3910366209750
2020-04-17Oliver KruseC-PRP
M13093/3231981325161647/343107337692217790195130191 : DFCBE9A7F46EB97E
PRP: Verified
PRP without proof (small exponent)
2017-12-07ATHC-PRP
M13093/3231981325161647/343107337692217790195130191 : 4425F181BC4AB2F5
PRP: Verified
PRP without proof (small exponent)
2017-10-02kkmrkkblmbrbkC-PRP
M13093/3231981325161647/343107337692217790195130191 : 4425F181BC4AB2F5
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M13093/known_factors : 4425F181BC4AB2F5
PRP without proof (not generated)
2008-08-29-Anonymous-F-ECM
Factor: 343107337692217790195130191