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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Exponent Range:










MnStatusDetails
35311Composite, with 3 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
1259072031918841131856.8old
2660826586315667237478072477.82010-04-27 11:58:17
1532845727139216305230379212787.02015-09-02 17:11:14
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000001777 / 4588
Estimated T-Level: 36.9
TF below 2^118 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-21Oliver Kruse5558ECB2462118873013
Verified2017-10-02kkmrkkblmbrbk5558ECB2462118873013
Verified2017-12-07ATH5558ECB246211887334813
Verified2020-04-17Oliver Kruse4A509E8FF506A6293873653
Verified2024-07-01kkmrkkblmbrbk4A509E8FF506A62931554053
History
DateUserTypeResult
2024-07-01kkmrkkblmbrbkC-PRP
M35311/125907203191884113/153284572713921630523037921/266082658631566723747807 : 4A509E8FF506A629
PRP: Verified
PRP without proof (small exponent)
2022-04-10nordiNF-PM1
B1=2000000000, B2=408370353971580
2022-03-18nordiNF-PM1
B1=2000000000
2021-05-09ATHNF-PP1
Start=2/7, B1=100000000, B2=10000000000
2020-04-17Oliver KruseC-PRP
M35311/125907203191884113/266082658631566723747807/153284572713921630523037921 : 4A509E8FF506A629
PRP: Verified
PRP without proof (small exponent)
2017-12-07ATHC-PRP
M35311/125907203191884113/266082658631566723747807/153284572713921630523037921 : 5558ECB246211887
PRP: Verified
PRP without proof (small exponent)
2017-10-02kkmrkkblmbrbkC-PRP
M35311/125907203191884113/266082658631566723747807/153284572713921630523037921 : 5558ECB246211887
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M35311/125907203191884113/266082658631566723747807/153284572713921630523037921 : 5558ECB246211887
PRP without proof (not generated)
2016-10-24kkmrkkblmbrbkNF-PM1
B1=200000000, B2=5000000000, E=12
2015-09-02James HintzF-ECM
Factor: 153284572713921630523037921 / (ECM curve 14, B1=250000, B2=25000000)
2010-04-27James HintzF-ECM
Factor: 266082658631566723747807