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
31481
Composite, with 4 known prime factors. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
296279024171134.8old
24327773218791341.12008-08-26 19:59:25
9296063425280729381769566171674332106.22015-04-25 23:17:13
12853694647242734674679215824295933106.72015-06-20 21:16:56
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000001368 / 9201
Estimated T-Level: 40.7 ⓘ
TF below 2^130 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusProofDateUserResidueNumber of
known factors		ShiftTypeBase
Verified
No proof (small exponent)
2017-09-21Oliver Kruse2BC976A09ABE21DD4013
Verified
No proof (small exponent)
2017-10-02kkmrkkblmbrbk2BC976A09ABE21DD4013
Verified
No proof (small exponent)
2017-12-07ATH2BC976A09ABE21DD42620013
Verified
No proof (small exponent)
2020-04-17Oliver Kruse8C3A761E8F2D17D342747053
Verified
No proof (small exponent)
2024-07-01kkmrkkblmbrbk8C3A761E8F2D17D34646153
Verified
No proof (small exponent)
2025-05-28Dobri8C3A761E8F2D17D341053153
History
DateUserTypeResult
2025-05-28DobriC-PRPM31481/29627902417/2432777321879/92960634252807293817695661716743/128536946472427346746792158242959 : 8C3A761E8F2D17D3
2025-01-08masserNF-PP1Start=6/5, B1=80000000, B2=79920000000
2024-12-30masserNF-PP1Start=169/17, B1=80000000, B2=79920000000
2024-12-19masserNF-PP1Start=2/7, B1=80000000, B2=79920000000
2024-07-01kkmrkkblmbrbkC-PRPM31481/128536946472427346746792158242959/2432777321879/29627902417/92960634252807293817695661716743 : 8C3A761E8F2D17D3
2022-11-08nordiNF-PM1B1=3000000000, B2=912626498753970
2022-10-02nordiNF-PM1B1=3000000000
2020-04-17Oliver KruseC-PRPM31481/29627902417/2432777321879/92960634252807293817695661716743/128536946472427346746792158242959 : 8C3A761E8F2D17D3
2017-12-07ATHC-PRPM31481/29627902417/2432777321879/92960634252807293817695661716743/128536946472427346746792158242959 : 2BC976A09ABE21DD
2017-10-02kkmrkkblmbrbkC-PRPM31481/29627902417/2432777321879/92960634252807293817695661716743/128536946472427346746792158242959 : 2BC976A09ABE21DD
2017-09-21Oliver KruseC-PRPM31481/known_factors : 2BC976A09ABE21DD
2016-10-08kkmrkkblmbrbkNF-PM1B1=200000000, B2=5000000000, E=12
2015-06-20James HintzF-ECMFactor: 128536946472427346746792158242959
2015-04-25Serge BatalovF-ECMFactor: 92960634252807293817695661716743
2008-08-26-anonymous-FFactor: 2432777321879