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

PrimeNet Exponent Status

Exponent Range:










MnStatusDetails
20809Composite, with 3 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
457799618.8old
7788517374011239.52008-08-26 19:59:01
792585469272169521842679951179931102.62017-10-28 18:37:09
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000006205 / 9201
Estimated T-Level: 43.4
TF below 2^139 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified (Factored)2017-09-21Oliver Kruse1DD755C425E713BB2013
Verified (Factored)2017-10-12kkmrkkblmbrbk1DD755C425E713BB2866013
Verified2017-10-29Oliver Kruse531034B27919943C3746153
Verified2017-10-29kkmrkkblmbrbk531034B27919943C3429353
Verified2017-10-29Yaroslav Berezhko531034B27919943C31055353
History
DateUserTypeResult
2025-02-13masserNF-PP1
Start=6/5, B1=265000000, B2=264735000000
2025-01-21masserNF-PP1
Start=114/59, B1=265000000, B2=264735000000
2025-01-12masserNF-PP1
Start=2/7, B1=265000000, B2=264735000000
2023-08-30nordiNF-PM1
B1=12000000000, B2=3601049663361150
2023-04-16nordiNF-PM1
B1=12000000000
2017-10-29Yaroslav BerezhkoC-PRP
M20809/457799/778851737401/7925854692721695218426799511799 : 531034B27919943C
PRP: Verified
PRP without proof (small exponent)
2017-10-29kkmrkkblmbrbkC-PRP
M20809/457799/778851737401/7925854692721695218426799511799 : 531034B27919943C
PRP: Verified
PRP without proof (small exponent)
2017-10-29Oliver KruseC-PRP
M20809/457799/778851737401/7925854692721695218426799511799 : 531034B27919943C
PRP: Verified
PRP without proof (small exponent)
2017-10-28kkmrkkblmbrbkF-ECM
Factor: 7925854692721695218426799511799 / (ECM curve 30, B1=1000000, B2=100000000)
2017-10-12kkmrkkblmbrbkC-PRP
M20809/457799/778851737401 : 1DD755C425E713BB
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M20809/457799/778851737401 : 1DD755C425E713BB
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M20809/457799/778851737401 : 1DD755C425E713BB
PRP without proof (not generated)
2016-11-12kkmrkkblmbrbkNF-PM1
B1=500000000, B2=10000000000, E=12
2008-08-26-Anonymous-F
Factor: 778851737401