Marin Mersenne 2^P-1
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Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

Exponent Range:





MnDetails
13873
Composite, with 3 known prime factors. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
15620999823.9old
202343600947504413896106239266036690337120.62017-06-03 12:59:50
4650479390567668303978033887778436048680741135.12023-06-15 05:30:32
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000001452 / 9201
Estimated T-Level: 40.8 ⓘ
TF below 2^130 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusProofDateUserResidueNumber of
known factors		ShiftTypeBase
Factored
No proof (small exponent)
2017-09-21Oliver KruseC82C51172773A8402013
Factored
No proof (small exponent)
2017-10-02kkmrkkblmbrbkC82C51172773A8402013
Factored
No proof (small exponent)
2017-12-07ATHC82C51172773A84021353413
Factored
No proof (small exponent)
2020-04-17Oliver Kruse4117A74B4920CE9621159953
Verified
No proof (small exponent)
2023-06-15Denial1404117A74B4920CE96336153
Verified
No proof (small exponent)
2023-06-15/r/counting4117A74B4920CE963672153
Verified
No proof (small exponent)
2023-06-15Denial1404117A74B4920CE963662753
History
DateUserTypeResult
2025-02-20masserNF-PP1Start=100/23, B1=430000000, B2=429570000000
2025-02-10masserNF-PP1Start=2/7, B1=430000000, B2=429570000000
2025-01-22masserNF-PP1Start=6/5, B1=430000000, B2=429570000000
2024-01-29-anonymous-NF-PM1B1=100000000000, B2=122154521813133810
2023-06-15Denial140C-PRPM13873/15620999/2023436009475044138961062392660366903/46504793905676683039780338877784360486807 : 4117A74B4920CE96
2023-06-15/r/countingC-PRPM13873/15620999/2023436009475044138961062392660366903/46504793905676683039780338877784360486807 : 4117A74B4920CE96
2023-06-15Denial140C-PRPM13873/15620999/2023436009475044138961062392660366903/46504793905676683039780338877784360486807 : 4117A74B4920CE96
2023-06-15Denial140F-ECMFactor: 46504793905676683039780338877784360486807 / ECM curve 106, B1=3000000, B2=22972799850, Montgomery Sigma=4492981475494398
2023-05-22JacobZNF-PM1B1=7900000000, B2=32522539163164050
2023-02-11USAFSSNF-PM1B1=10000000, B2=704560436580
2022-02-06ANONYMOUSNF-PM1B1=50000
2020-04-17Oliver KruseC-PRPM13873/15620999/2023436009475044138961062392660366903 : 4117A74B4920CE96
2017-12-07ATHC-PRPM13873/15620999/2023436009475044138961062392660366903 : C82C51172773A840
2017-10-02kkmrkkblmbrbkC-PRPM13873/15620999/2023436009475044138961062392660366903 : C82C51172773A840
2017-09-21Oliver KruseC-PRPM13873/15620999/2023436009475044138961062392660366903 : C82C51172773A840
2017-09-21Oliver KruseC-PRPM13873/15620999/2023436009475044138961062392660366903 : C82C51172773A840
2017-06-03kkmrkkblmbrbkF-ECMFactor: 2023436009475044138961062392660366903