is 2 8111 - 1
has 2442 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actualunknown4000000004000000000.059029.8884%0.059029.8884%
Target2440.000370.4545%500100000.00001.1848%0.000370.8046%
Difference-44-0.0003-70.4545%+399999500+399990000+0.0590+28.7036%+0.0587-40.9162%

Known prime factors (7 factors, 560.7 bits, 6.91269447% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
811116223513.9861
1
-111.345e-131.474e-103.000e-10
811141917649825.3212584
23 × 17 × 19
-17198.594e-102.522e-95.100e-9
8111259197711531134.5931597816
23 × 11 × 67 × 271
-672715.213e-71.152e-82.010e-8
8111864966787374324643282732376.1955332060087377170776
23 × 182957 × 3642973545271
-18295736429735452713,118,57629.25954.648
811122408624165702858378133253993268671136117.43213813724673716470458718563674805
3 × 5 × 571 × 5857 × 9159876377 × 30062049940873
-9159876377300620499408732.125e+13242.73450.96
8111650655768217686636059644175907242466754168943142.223401094666636473083503664268220467554404
22 × 3 × 72 × 4724167963 × 2164640233391 × 66705017853751
2017-05-222164640233391667050178537511.597e+13837.471,000.6
8111273637867905234554591789507218059855810549663146150.939168683188204435060160146410564702167310165
3 × 5 × 29 × 601 × 45007 × 963119621 × 54214746581 × 274555623737
2023-01-28542147465812745556237372.269e+139.76216.265

120 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-27Seth_TrManual testing100000000100000000-
skipped known factor: 16223
skipped known factor: 41917649
skipped known factor: 25919771153
--0.015--26.203%
2021-08-27Seth_TrManual testing400000000400000000-
skipped known factor: 16223
skipped known factor: 41917649
skipped known factor: 25919771153
--0.059--29.888%


Trial Factoring results:
No TF results for M8111


ECM factoring results:
Total ECM effort:1,276.362 GHz-days
Estimated T-Level:44.218
DigitsB1CompleteFacMiss
20110002,418.3000.000%
2550000673.2410.000%
30250000171.9850.000%
35100000034.2700.000%
4030000005.7590.315%
45110000000.84443.013%
50440000000.10989.673%
551100000000.01398.738%
602600000000.00199.873%


ECM Summary

B1B2factorcurvesGHz-days
30000003000000001,1217.134
30000003000000002,80317.84
11000000365788846622,400643.5
1100000099324315090729511.1
110000009932431509013896.75


Lucas-Lehmer results:
No L-L results for M8111


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseOliver-PC97D8CE26BB175A__?
2017-09-21Oliver KruseManual testing97D8CE26BB175A__?
2017-10-02kkmrkkblmbrbkManual testing
16223
41917649
25919771153
86496678737432464328273
224086241657028583781332539932686711
6506557682176866360596441759072424667541689
97D8CE26BB175A__no
2017-12-07ATHManual testing
16223
41917649
25919771153
86496678737432464328273
224086241657028583781332539932686711
6506557682176866360596441759072424667541689
97D8CE26BB175A__no
2020-04-17Oliver KruseManual testing
16223
41917649
25919771153
86496678737432464328273
224086241657028583781332539932686711
6506557682176866360596441759072424667541689
D4A99451ABD1B6__no
2022-05-12Jorge CoveiroManual testing
16223
D4A99451ABD1B68Ano
2023-01-28Denial140i5-8400
16223
41917649
25919771153
86496678737432464328273
224086241657028583781332539932686711
6506557682176866360596441759072424667541689
2736378679052345545917895072180598558105496631
D4A99451ABD1B68Ano


P-1 factor-bounds graph:
B1 = 400000000 (P-1 stage 1)
B1 = 100000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67.7
ECM T-Level=44.22 ~= 130-bit
250
260
270
280
290
2100
2110
2120
2130
2140
2150
2160
Last modified: 2023-03-25T13:08:14+00:00