Marin Mersenne 2^P-1
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MnStatusDetails
8111Composite, with 7 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
16223514.0old
41917649825.3old
259197711531134.6old
864966787374324643282732376.2old
22408624165702858378133253993268671136117.4old
650655768217686636059644175907242466754168943142.22017-05-22 15:27:45
273637867905234554591789507218059855810549663146150.92023-01-28 14:51:33
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
504400000016550 / 16550
5511000000012697 / 40830
Estimated T-Level: 51.6 ⓘ
TF below 2^166 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified (Factored)2017-09-21Oliver Kruse97D8CE26BB175A216013
Verified (Factored)2017-10-02kkmrkkblmbrbk97D8CE26BB175A216013
Verified (Factored)2017-12-07ATH97D8CE26BB175A216518213
Verified (Factored)2020-04-17Oliver KruseD4A99451ABD1B68A6502453
Verified (Factored)2022-05-12Jorge CoveiroD4A99451ABD1B68A1424553
Verified2023-01-28Denial140D4A99451ABD1B68A7184653
History
DateUserTypeResult
2023-09-02JacobZNF-PM1
B1=73000000000, B2=269450985774120150
2023-01-28Denial140C-PRP
M8111/16223/41917649/25919771153/86496678737432464328273/224086241657028583781332539932686711/6506557682176866360596441759072424667541689/2736378679052345545917895072180598558105496631 : D4A99451ABD1B68A
PRP: Verified
PRP without proof (small exponent)
2023-01-28Denial140F-ECM
Factor: 2736378679052345545917895072180598558105496631 / (ECM curve 138, B1=11000000, B2=99324315090, Sigma=7000555281870627)
2022-05-12Jorge CoveiroC-PRP
M8111/16223 : D4A99451ABD1B68A
PRP: Verified
PRP without proof (small exponent)
2021-08-27Seth_TrNF-PM1
B1=400000000
2021-08-27Seth_TrNF-PM1
B1=100000000
2020-04-17Oliver KruseC-PRP
M8111/16223/41917649/25919771153/86496678737432464328273/224086241657028583781332539932686711/6506557682176866360596441759072424667541689 : D4A99451ABD1B68A
PRP: Verified
PRP without proof (small exponent)
2017-12-07ATHC-PRP
M8111/16223/41917649/25919771153/86496678737432464328273/224086241657028583781332539932686711/6506557682176866360596441759072424667541689 : 97D8CE26BB175A21
PRP: Verified
PRP without proof (small exponent)
2017-10-02kkmrkkblmbrbkC-PRP
M8111/16223/41917649/25919771153/86496678737432464328273/224086241657028583781332539932686711/6506557682176866360596441759072424667541689 : 97D8CE26BB175A21
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M8111/known_factors : 97D8CE26BB175A21
PRP without proof (not generated)
2017-05-22kkmrkkblmbrbkF-ECM
Factor: 6506557682176866360596441759072424667541689 / (ECM curve 2803, B1=3000000, B2=300000000)