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
286493Composite, with 2 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
72769223826.1old
455321494487149155726457379846331101.82024-11-13 19:43:42
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000214 / 1566
Estimated T-Level: 30.7
TF below 2^97 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified (Factored)2017-09-22Oliver Kruse647D5C44B2F4B5E11013
Verified (Factored)2017-10-13kkmrkkblmbrbk647D5C44B2F4B5E1121207813
Verified (Factored)2020-04-17Oliver Kruse193BD139E33EC44716073953
Verified (Factored)2024-08-12kkmrkkblmbrbk193BD139E33EC447114388853
Verified2024-11-13yuriy_5-1193BD139E33EC447216748053
P-1 factors
DateFactorB1B2
2024-11-134553214944871491557264573798463263573566442766380050
History
DateUserTypeResult
2024-11-13XyzzyCERT
PRP Certification
Proof certified good
2024-11-13yuriy_5-1C-PRP
M286493/72769223/4553214944871491557264573798463 : 193BD139E33EC447
PRP proof power = 5
PRP: Verified
Proof certified good
2024-11-13yuriy_5-1F-PM1
Factor: 4553214944871491557264573798463 / (P-1, B1=26357356, B2=6442766380050)
2024-08-13JohnColvilleCERT
PRP Certification
Proof certified good
2024-08-12kkmrkkblmbrbkC-PRP
M286493/72769223 : 193BD139E33EC447
PRP proof power = 5
PRP: Verified (Factored)
Proof certified good
2023-02-16USAFSSNF-PM1
B1=4000000, B2=22109179950
2022-02-06Lisander ViaeneNF-PM1
B1=50000
2020-04-17Oliver KruseC-PRP
M286493/72769223 : 193BD139E33EC447
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-10-13kkmrkkblmbrbkC-PRP
M286493/72769223 : 647D5C44B2F4B5E1
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M286493/72769223 : 647D5C44B2F4B5E1
PRP: Verified (Factored)
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M286493/72769223 : 647D5C44B2F4B5E1
PRP without proof (not generated)