is 2 9811 - 1
has 2954 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
Actualunknown4000000004000000000.070730.1838%0.070730.1838%
Target2440.000268.1818%500100000.00001.2564%0.000268.5816%
Difference-44-0.0002-68.1818%+399999500+399990000+0.0707+28.9274%+0.0705-38.3977%

Known prime factors (5 factors, 293.2 bits, 2.98820627% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
98117770313722.890396
22 × 32 × 11
-9116.183e-111.611e-93.239e-9
981132198667724391341.550164094729
3 × 73 × 89 × 8419
-8984194.000e-59.598e-81.515e-7
9811330959567087982971754.8781686676012068
22 × 3 × 17 × 37 × 223459991
-372234599910.46320.00220.0040
9811563591338648301271755.6452872242068333
11 × 37 × 773 × 2647 × 3449
-264734490.67914.758e-79.525e-7
981138443810192799631970917802845044028736118.21019592197631637769835346958946613
32 × 41 × 61 × 45281 × 71025931 × 270641260387387
-710259312706412603873871.458e+132,607.34,869.6

26 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-27Seth_TrManual testing100000000100000000-
skipped known factor: 7770313
skipped known factor: 3219866772439
skipped known factor: 56359133864830127
--0.018--26.497%
2021-08-27Seth_TrManual testing400000000400000000-
skipped known factor: 7770313
skipped known factor: 3219866772439
skipped known factor: 33095956708798297
skipped known factor: 56359133864830127
--0.071--30.184%


Trial Factoring results:
No TF results for M9811


ECM factoring results:
Total ECM effort:29.570 GHz-days
Estimated T-Level:39.245
DigitsB1CompleteFacMiss
2011000769.4640.000%
2550000202.6290.000%
3025000040.5740.000%
3510000006.4780.154%
4030000000.84942.780%
45110000000.09690.824%
50440000000.00999.062%


ECM Summary

B1B2factorcurvesGHz-days
50000500000050.001
2500002500000050.003
100000010000000040.010
30000003000000003,82229.17
100000001000000000150.382


Lucas-Lehmer results:
No L-L results for M9811


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseOliver-PCCA4BFD32488EF0__?
2017-09-21Oliver KruseManual testingCA4BFD32488EF0__?
2017-10-02kkmrkkblmbrbkManual testing
7770313
3219866772439
33095956708798297
56359133864830127
384438101927996319709178028450440287
CA4BFD32488EF0__no
2017-12-07ATHManual testing
7770313
3219866772439
33095956708798297
56359133864830127
384438101927996319709178028450440287
CA4BFD32488EF0__no
2020-04-17Oliver KruseManual testing
7770313
3219866772439
33095956708798297
56359133864830127
384438101927996319709178028450440287
AE6B2238E12014__no


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
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67.8
ECM T-Level=39.25 ~= 114-bit
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2120
Last modified: 2023-04-26T21:34:10+00:00