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

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Exponent Range:










MnStatusDetails
14821Composite, with 2 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
4931922864296619645395292478.7old
890375692300008786930165044279931102.82008-08-29 02:24:35
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000001256 / 9201
Estimated T-Level: 40.7
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 KruseE86814ECBA06D6612013
Verified2017-10-02kkmrkkblmbrbkE86814ECBA06D6612013
Verified2017-12-07ATHE86814ECBA06D66121062513
Verified2020-04-17Oliver KruseC7A87193B912306A2140653
Verified2024-07-01kkmrkkblmbrbkC7A87193B912306A2184353
P-1 factors
DateFactorB1B2
2024-03-078903756923000087869301650442799100000000000122154521813133808
History
DateUserTypeResult
2024-07-01kkmrkkblmbrbkC-PRP
M14821/493192286429661964539529/8903756923000087869301650442799 : C7A87193B912306A
PRP: Verified
PRP without proof (small exponent)
2024-03-07-Anonymous-F-PM1
Factor: 8903756923000087869301650442799 / (P-1, B1=100000000000, B2=122154521813133810)
2023-05-27JacobZNF-PM1
B1=7300000000, B2=30020805351537000
2021-08-02ViliamFNF-PM1
B1=250000000, B2=42750000000
2020-04-17Oliver KruseC-PRP
M14821/493192286429661964539529/8903756923000087869301650442799 : C7A87193B912306A
PRP: Verified
PRP without proof (small exponent)
2017-12-07ATHC-PRP
M14821/493192286429661964539529/8903756923000087869301650442799 : E86814ECBA06D661
PRP: Verified
PRP without proof (small exponent)
2017-10-02kkmrkkblmbrbkC-PRP
M14821/493192286429661964539529/8903756923000087869301650442799 : E86814ECBA06D661
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M14821/493192286429661964539529/8903756923000087869301650442799 : E86814ECBA06D661
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M14821/493192286429661964539529/8903756923000087869301650442799 : E86814ECBA06D661
PRP without proof (not generated)
2008-08-29-Anonymous-F-ECM
Factor: 8903756923000087869301650442799