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:










MnStatusDetails
31583Composite, with 4 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
239180138765816411754.4old
1293493021542509531856.82008-08-26 19:59:26
2203857063882044925264012477.52010-04-15 22:43:51
2243279701484847119918572477.62010-04-15 18:08:20
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000002536 / 4588
Estimated T-Level: 37.8
TF below 2^120 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-21Oliver KruseC09486485A21AA094013
Verified2017-10-02kkmrkkblmbrbkC09486485A21AA094013
Verified2017-12-07ATHC09486485A21AA0942965713
Verified2020-04-17Oliver Kruse661DE19C6BC17B4641806553
Verified2024-07-01kkmrkkblmbrbk661DE19C6BC17B4641755753
History
DateUserTypeResult
2025-01-06masserNF-PP1
Start=6/5, B1=80000000, B2=79920000000
2024-12-31masserNF-PP1
Start=182/31, B1=80000000, B2=79920000000
2024-12-20masserNF-PP1
Start=2/7, B1=80000000, B2=79920000000
2024-07-01kkmrkkblmbrbkC-PRP
M31583/129349302154250953/220385706388204492526401/224327970148484711991857/23918013876581641 : 661DE19C6BC17B46
PRP: Verified
PRP without proof (small exponent)
2022-11-08nordiNF-PM1
B1=3000000000, B2=912626498753970
2022-09-26nordiNF-PM1
B1=3000000000
2020-04-17Oliver KruseC-PRP
M31583/23918013876581641/129349302154250953/220385706388204492526401/224327970148484711991857 : 661DE19C6BC17B46
PRP: Verified
PRP without proof (small exponent)
2017-12-07ATHC-PRP
M31583/23918013876581641/129349302154250953/220385706388204492526401/224327970148484711991857 : C09486485A21AA09
PRP: Verified
PRP without proof (small exponent)
2017-10-02kkmrkkblmbrbkC-PRP
M31583/23918013876581641/129349302154250953/220385706388204492526401/224327970148484711991857 : C09486485A21AA09
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M31583/23918013876581641/129349302154250953/224327970148484711991857/220385706388204492526401 : C09486485A21AA09
PRP without proof (not generated)
2016-10-08kkmrkkblmbrbkNF-PM1
B1=200000000, B2=5000000000, E=12
2010-04-15James HintzF-ECM
Factor: 220385706388204492526401
2010-04-15James HintzF-ECM
Factor: 224327970148484711991857
2008-08-26-Anonymous-F-ECM
Factor: 129349302154250953