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
58733Factored
FactorDigitsBitsDate
9380048091250495371859.7old
2614344300119282104812167.82009-06-20 03:27:07
207569856024299990823333252677519646668940130.62016-10-07 00:12:59
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
403000000599 / 4588
Estimated T-Level: 35.7
TF below 2^113 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-21Oliver Kruse9649E659FAA23C133013
Verified2017-09-21Oliver Kruse9649E659FAA23C133013
Verified2017-11-06kkmrkkblmbrbk9649E659FAA23C1335121413
Verified2020-04-17Oliver Kruse147E58C48B20E17D35645353
Verified2024-02-03Wentao Huang147E58C48B20E17D32551053
P-1 factors
DateFactorB1B2
2016-10-0720756985602429999082333325267751964666891000000002000000000
History
DateUserTypeResult
2024-02-03Wentao HuangC-PRP
M58733/938004809125049537/261434430011928210481/2075698560242999908233332526775196466689 : 147E58C48B20E17D
PRP: Verified
PRP without proof (small exponent)
2023-05-06JacobZNF-PM1
B1=590000000, B2=294534654293880
2021-05-06ATHNF-PP1
Start=2/7, B1=15000000, B2=1500000000
2020-04-17Oliver KruseC-PRP
M58733/938004809125049537/261434430011928210481/2075698560242999908233332526775196466689 : 147E58C48B20E17D
PRP: Verified
PRP without proof (small exponent)
2017-11-06kkmrkkblmbrbkC-PRP
M58733/938004809125049537/261434430011928210481/2075698560242999908233332526775196466689 : 9649E659FAA23C13
PRP: Verified
PRP without proof (small exponent)
2017-09-21Oliver KruseC-PRP
M58733/938004809125049537/261434430011928210481/2075698560242999908233332526775196466689 : 9649E659FAA23C13
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M58733/938004809125049537/261434430011928210481/2075698560242999908233332526775196466689 : 9649E659FAA23C13
PRP without proof (not generated)
2016-10-07kkmrkkblmbrbkF-PM1
Factor: 2075698560242999908233332526775196466689 / (P-1, B1=100000000, B2=2000000000, E=12)
2009-06-20Matthias WurtingerF-ECM
Factor: 261434430011928210481