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

PrimeNet Exponent Status

Exponent Range:










MnStatusDetails
10723Composite, with 2 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
7761726740022264243672169.4old
284911382326476358551515512684.62008-08-29 02:24:26
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000001283 / 9201
Estimated T-Level: 40.7 ⓘ
TF below 2^130 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2017-09-21Oliver Kruse9DC41B521A69CC592013
Verified2017-10-02kkmrkkblmbrbk9DC41B521A69CC592013
Verified2017-10-12kkmrkkblmbrbk9DC41B521A69CC5921001313
Verified2020-04-17Oliver Kruse61B43172148516912843253
Verified2024-07-01kkmrkkblmbrbk61B43172148516912986053
P-1 factors
DateFactorB1B2
2022-12-29776172674002226424367100000000000122192573512709696
History
DateUserTypeResult
2024-07-01kkmrkkblmbrbkC-PRP
M10723/28491138232647635855151551/776172674002226424367 : 61B4317214851691
PRP: Verified
PRP without proof (small exponent)
2022-12-29-Anonymous-F-PM1
Factor: 776172674002226424367 / (P-1, B1=100000000000, B2=122192573512709700)
2020-04-17Oliver KruseC-PRP
M10723/776172674002226424367/28491138232647635855151551 : 61B4317214851691
PRP: Verified
PRP without proof (small exponent)
2017-10-12kkmrkkblmbrbkC-PRP
M10723/776172674002226424367/28491138232647635855151551 : 9DC41B521A69CC59
PRP: Verified
PRP without proof (not generated)
2017-10-02kkmrkkblmbrbkC-PRP
M10723/776172674002226424367/28491138232647635855151551 : 9DC41B521A69CC59
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M10723/776172674002226424367/28491138232647635855151551 : 9DC41B521A69CC59
PRP without proof (not generated)
2016-09-07kkmrkkblmbrbkNF-PM1
B1=100000000, B2=10000000000, E=12
2008-08-29-Anonymous-F-ECM
Factor: 28491138232647635855151551