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

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MnStatusDetails
34543Composite, with 4 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
345431618.4old
1174463720.22008-08-26 19:59:34
2279839721.12008-08-26 19:59:34
1301323467569892251321650572786.82009-11-26 01:02:58
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000001967 / 4588
Estimated T-Level: 37.1
TF below 2^118 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-21Oliver Kruse8E99564184E9301D4013
Verified2017-10-02kkmrkkblmbrbk8E99564184E9301D4013
Verified2017-12-07ATH8E99564184E9301D4787713
Verified2020-04-17Oliver Kruse794227FA1E603D5241073453
Verified2024-07-01kkmrkkblmbrbk794227FA1E603D5241944853
History
DateUserTypeResult
2024-12-28masserNF-PP1
Start=88/11, B1=60000000, B2=59940000000
2024-12-20masserNF-PP1
Start=6/5, B1=60000000, B2=59940000000
2024-12-18masserNF-PP1
Start=2/7, B1=60000000, B2=59940000000
2024-07-01kkmrkkblmbrbkC-PRP
M34543/1174463/130132346756989225132165057/2279839/345431 : 794227FA1E603D52
PRP: Verified
PRP without proof (small exponent)
2022-08-03nordiNF-PM1
B1=2000000000, B2=402448467070650
2022-06-13nordiNF-PM1
B1=2000000000
2020-04-17Oliver KruseC-PRP
M34543/345431/1174463/2279839/130132346756989225132165057 : 794227FA1E603D52
PRP: Verified
PRP without proof (small exponent)
2017-12-07ATHC-PRP
M34543/345431/1174463/2279839/130132346756989225132165057 : 8E99564184E9301D
PRP: Verified
PRP without proof (small exponent)
2017-10-02kkmrkkblmbrbkC-PRP
M34543/345431/1174463/2279839/130132346756989225132165057 : 8E99564184E9301D
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M34543/known_factors : 8E99564184E9301D
PRP without proof (not generated)
2016-10-21kkmrkkblmbrbkNF-PM1
B1=200000000, B2=5000000000, E=12
2009-11-26Never Odd Or EvenF-ECM
Factor: 130132346756989225132165057
2008-08-26-Anonymous-F
Factor: 2279839
2008-08-26-Anonymous-F
Factor: 1174463