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
57719
Composite, with 2 known prime factors. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
397728933689476757634826100572995.0old
857994309062403389235354797212731102.82018-12-06 01:53:57
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
StatusProofDateUserResidueNumber of
known factors
ShiftTypeBase
Factored
No proof (small exponent)
2017-09-21Oliver Kruse7017FB3F88891FE11013
Factored
No proof (small exponent)
2017-09-21Oliver Kruse7017FB3F88891FE11013
Factored
No proof (small exponent)
2017-11-06kkmrkkblmbrbk7017FB3F88891FE111483913
Verified
No proof (small exponent)
2018-12-08Oliver Kruse103CBB161D5BC00A24453253
Verified
No proof (small exponent)
2018-12-08storm5510103CBB161D5BC00A24776353
History
DateUserTypeResult
2025-09-07masserNF-PM1B1=5200000000, B2=600689547297840
2023-05-01JacobZNF-PM1B1=600000000, B2=301603486654470
2021-05-04ATHNF-PP1Start=2/7, B1=15000000, B2=1500000000
2018-12-08storm5510C-PRPM57719/39772893368947675763482610057/8579943090624033892353547972127 : 103CBB161D5BC00A
2018-12-08Oliver KruseC-PRPM57719/39772893368947675763482610057/8579943090624033892353547972127 : 103CBB161D5BC00A
2018-12-06Niels_Mache_NextcloudF-ECMFactor: 8579943090624033892353547972127
2017-11-06kkmrkkblmbrbkC-PRPM57719/39772893368947675763482610057 : 7017FB3F88891FE1
2017-09-21Oliver KruseC-PRPM57719/39772893368947675763482610057 : 7017FB3F88891FE1
2017-09-21Oliver KruseC-PRPM57719/39772893368947675763482610057 : 7017FB3F88891FE1
2017-09-21Oliver KruseC-PRPM57719/39772893368947675763482610057 : 7017FB3F88891FE1
2016-10-05kkmrkkblmbrbkNF-PM1B1=100000000, B2=2000000000, E=12
2003-11-08-anonymous-NF-PM1B1=16777216, B2=1677721600, E=12
2003-10-23-anonymous-NF-PM1B1=8388608, B2=838860800, E=12
2003-07-30-anonymous-NF-PM1B1=4194304, B2=419430400, E=12
2003-06-01-anonymous-NF-PM1B1=2097152, B2=209715200, E=12
2003-05-04-anonymous-NF-PM1B1=1048576, B2=104857600, E=48
2003-03-27-anonymous-NF-PM1B1=262144, B2=26214400, E=30
2003-02-02-anonymous-NF-PM1B1=131072, B2=13107200, E=30
2002-10-26-anonymous-NFno factor TF: 1-57
2002-07-20-anonymous-NF-PM1B1=65536, B2=6553600, E=12
2002-06-09-anonymous-NF-PM1B1=32768, B2=3276800
2002-04-28-anonymous-NF-PM1B1=16384, B2=1638400
2001-08-18Alex KruppaNF-PM1B1=1000000, B2=100000000
2001-04-29-anonymous-NF-PM1B1=100000, B2=10000000
2000-11-05-anonymous-NFno factor TF: 1-56
2000-04-05-anonymous-NFno factor TF: 1-54
1999-10-29-anonymous-NFno factor TF: 52-53