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

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Exponent Range:










MnStatusDetails
317701Composite, with 2 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
314647512148811444.8old
8650726871176883135563574376367332106.12015-02-20 13:24:44
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000169 / 1566
Estimated T-Level: 30.5
TF below 2^96 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-24Oliver Kruse03E472F5A8B3E4722013
Verified2017-10-13Oliver Kruse03E472F5A8B3E472211256013
Verified2017-12-11ATH03E472F5A8B3E472219663413
Verified2020-04-18Oliver KruseE422644E780AB74021538253
Verified2024-08-31kkmrkkblmbrbkE422644E780AB74022160153
History
DateUserTypeResult
2024-08-31Ben NewsamCERT
PRP Certification
Proof certified good
2024-08-31kkmrkkblmbrbkC-PRP
M317701/31464751214881/86507268711768831355635743763673 : E422644E780AB740
PRP proof power = 5
PRP: Verified
Proof certified good
2021-05-23George WoltmanNF-PP1
Start=2/7, B1=7500000, B2=592500000
2021-05-23George WoltmanNF-PM1
B1=15000000, B2=1305000000
2020-04-18Oliver KruseC-PRP
M317701/31464751214881/86507268711768831355635743763673 : E422644E780AB740
PRP: Verified
PRP without proof (small exponent)
2017-12-11ATHC-PRP
M317701/31464751214881/86507268711768831355635743763673 : 03E472F5A8B3E472
PRP: Verified
PRP without proof (small exponent)
2017-10-13Oliver KruseC-PRP
M317701/31464751214881/86507268711768831355635743763673 : 03E472F5A8B3E472
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M317701/31464751214881/86507268711768831355635743763673 : 03E472F5A8B3E472
PRP without proof (not generated)
2015-02-20TJAOIF-ECM
Factor: 86507268711768831355635743763673 / (ECM curve 47, B1=50000, B2=5000000)