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

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Exponent Range:










MnStatusDetails
14251Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
1731049321535395213454112465573910290439941133.72008-12-13 09:00:03
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000001265 / 9201
Estimated T-Level: 40.7
TF below 2^130 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)Unknown3C4C0
Verified (Factored)George Woltman424849E043F63C4C0
Verified (Factored)Brian J. Beesley424849E043F63C4C0
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-21Oliver KruseBA329C4B6BA725E51013
Verified2017-10-02kkmrkkblmbrbkBA329C4B6BA725E51013
Verified2017-12-07ATHBA329C4B6BA725E51786213
Verified2020-04-17Oliver Kruse00D6ECEFB92FE1291681053
Verified2024-07-01kkmrkkblmbrbk00D6ECEFB92FE12911086153
History
DateUserTypeResult
2024-07-01kkmrkkblmbrbkC-PRP
M14251/17310493215353952134541124655739102904399 : 00D6ECEFB92FE129
PRP: Verified
PRP without proof (small exponent)
2024-01-29-Anonymous-NF-PM1
B1=100000000000, B2=122154521813133810
2023-05-24JacobZNF-PM1
B1=7700000000, B2=32522539163164050
2020-04-17Oliver KruseC-PRP
M14251/17310493215353952134541124655739102904399 : 00D6ECEFB92FE129
PRP: Verified
PRP without proof (small exponent)
2017-12-07ATHC-PRP
M14251/17310493215353952134541124655739102904399 : BA329C4B6BA725E5
PRP: Verified
PRP without proof (small exponent)
2017-10-02kkmrkkblmbrbkC-PRP
M14251/17310493215353952134541124655739102904399 : BA329C4B6BA725E5
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M14251/17310493215353952134541124655739102904399 : BA329C4B6BA725E5
PRP without proof (not generated)
2008-12-13Jayson KingF-ECM
Factor: 17310493215353952134541124655739102904399