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

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Exponent Range:










MnStatusDetails
13451Composite, with 5 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
26903514.7old
107609616.72008-08-26 19:58:40
2690201721.42008-08-26 19:58:40
257443531371134.62008-08-26 19:58:40
71506280052539090998461612582.62009-06-09 03:20:47
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000001334 / 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 KruseCD982DF83F2E5C955013
Verified2017-10-02kkmrkkblmbrbkCD982DF83F2E5C955013
Verified2017-12-07ATHCD982DF83F2E5C9551137713
Verified2020-04-17Oliver Kruse94404714DDBD51385601253
Verified (Factored)2022-05-12Jorge Coveiro94404714DDBD513811099253
Verified2024-07-01kkmrkkblmbrbk94404714DDBD51385874953
P-1 factors
DateFactorB1B2
2024-01-297150628005253909099846161100000000000122154521813133808
History
DateUserTypeResult
2024-07-01kkmrkkblmbrbkC-PRP
M13451/107609/25744353137/2690201/26903/7150628005253909099846161 : 94404714DDBD5138
PRP: Verified
PRP without proof (small exponent)
2024-01-29-Anonymous-F-PM1
Factor: 7150628005253909099846161 / (P-1, B1=100000000000, B2=122154521813133810)
2023-05-19JacobZNF-PM1
B1=8200000000, B2=35024272926292650
2022-05-12Jorge CoveiroC-PRP
M13451/26903 : 94404714DDBD5138
PRP: Verified
PRP without proof (small exponent)
2021-08-27Seth_TrNF-PM1
B1=400000000
2020-04-17Oliver KruseC-PRP
M13451/26903/107609/2690201/25744353137/7150628005253909099846161 : 94404714DDBD5138
PRP: Verified
PRP without proof (small exponent)
2017-12-07ATHC-PRP
M13451/26903/107609/2690201/25744353137/7150628005253909099846161 : CD982DF83F2E5C95
PRP: Verified
PRP without proof (small exponent)
2017-10-02kkmrkkblmbrbkC-PRP
M13451/26903/107609/2690201/25744353137/7150628005253909099846161 : CD982DF83F2E5C95
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M13451/26903/107609/2690201/25744353137/7150628005253909099846161 : CD982DF83F2E5C95
PRP without proof (not generated)
2009-06-09Rob_DeeF-ECM
Factor: 7150628005253909099846161
2008-08-26-Anonymous-F
Factor: 25744353137
2008-08-26-Anonymous-F
Factor: 2690201
2008-08-26-Anonymous-F
Factor: 107609