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
52859Composite, with 2 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
165661523678391443.9old
7214281534404013331063878815168888904043341135.72023-04-14 18:15:14
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
403000000582 / 4588
Estimated T-Level: 35.6 ⓘ
TF below 2^113 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified (Factored)2017-09-21Oliver Kruse537CE0CFC3C895811013
Verified (Factored)2017-10-13kkmrkkblmbrbk537CE0CFC3C8958112347013
Verified (Factored)2020-04-17Oliver Kruse7E09E77C7FD7C34F11856253
Verified2023-04-14JacobZ7E09E77C7FD7C34F24106653
P-1 factors
DateFactorB1B2
2023-04-1472142815344040133310638788151688889040433660000000820763693169420
History
DateUserTypeResult
2025-08-13masserNF-PM1
B1=6400000000, B2=947247623201880
2023-04-14JacobZC-PRP
M52859/16566152367839/72142815344040133310638788151688889040433 : 7E09E77C7FD7C34F
PRP: Verified
PRP without proof (small exponent)
2023-04-14JacobZF-PM1
Factor: 72142815344040133310638788151688889040433 / (P-1, B1=660000000, B2=820763693169420)
2021-11-12fbaurNF-PP1
Start=6/5, B1=50000000, B2=4000000000
2021-04-27ATHNF-PP1
Start=2/7, B1=15000000, B2=1500000000
2020-04-17Oliver KruseC-PRP
M52859/16566152367839 : 7E09E77C7FD7C34F
PRP: Verified
PRP without proof (small exponent)
2017-10-13kkmrkkblmbrbkC-PRP
M52859/16566152367839 : 537CE0CFC3C89581
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M52859/16566152367839 : 537CE0CFC3C89581
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M52859/16566152367839 : 537CE0CFC3C89581
PRP without proof (not generated)
2016-09-24kkmrkkblmbrbkNF-PM1
B1=100000000, B2=2000000000, E=12