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

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MnStatusDetails
58231Composite, with 3 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
3843247721.9old
13991221713244504386892270.22010-05-02 21:24:43
427121460841110203756822632605740136961948945746151.62023-05-02 21:29:39
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
403000000591 / 4588
Estimated T-Level: 35.6
TF below 2^113 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified (Factored)2017-09-21Oliver Kruse3E3D0B95454BF7902013
Verified (Factored)2017-09-21Oliver Kruse3E3D0B95454BF7902013
Verified (Factored)2017-11-06kkmrkkblmbrbk3E3D0B95454BF79025203813
Verified (Factored)2020-04-17Oliver Kruse077DF269754B43B12609153
Verified2023-05-02JacobZ077DF269754B43B133420053
P-1 factors
DateFactorB1B2
2023-05-024271214608411102037568226326057401369619489457600000000301603486654470
History
DateUserTypeResult
2023-05-02JacobZC-PRP
M58231/3843247/1399122171324450438689/4271214608411102037568226326057401369619489457 : 077DF269754B43B1
PRP: Verified
PRP without proof (small exponent)
2023-05-02JacobZF-PM1
Factor: 4271214608411102037568226326057401369619489457 / (P-1, B1=600000000, B2=301603486654470)
2023-04-17carlos56F-ECM
Factor: 3843247 / (ECM curve 1, B1=1000000, B2=773000000, Sigma=635923516468341)
2021-05-05ATHNF-PP1
Start=2/7, B1=15000000, B2=1500000000
2020-04-17Oliver KruseC-PRP
M58231/3843247/1399122171324450438689 : 077DF269754B43B1
PRP: Verified
PRP without proof (small exponent)
2017-11-06kkmrkkblmbrbkC-PRP
M58231/3843247/1399122171324450438689 : 3E3D0B95454BF790
PRP: Verified
PRP without proof (small exponent)
2017-09-21Oliver KruseC-PRP
M58231/3843247/1399122171324450438689 : 3E3D0B95454BF790
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M58231/3843247/1399122171324450438689 : 3E3D0B95454BF790
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M58231/3843247/1399122171324450438689 : 3E3D0B95454BF790
PRP without proof (not generated)
2016-10-07kkmrkkblmbrbkNF-PM1
B1=100000000, B2=2000000000, E=12
2010-05-02James HintzF-ECM
Factor: 1399122171324450438689