is 2 10799 - 1
has 3251 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
Actual2672,751.543479.1045 %1000000000001221925735127097001,265,661.497940.4155 %1,268,413.041387.5495 %
Target2440.000268.1818 %500500000.00001.2940 %0.000268.5935 %
Difference+23+2,751.5432+10.9227 %+99999999500+122192573512659700+1,265,661.4979+39.1216%+1,268,413.0411+18.9560 %

Known prime factors (4 factors, 198.1 bits, 1.83400482% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1079921599514.3991
1
-112.021e-131.901e-103.869e-10
1079910242635531029.93247424
26 × 3 × 13 × 19
2008-08-2664648.378e-91.217e-82.476e-8
107994956515866767611548.81622948957620
22 × 32 × 5 × 61 × 2090069
2008-08-266120900690.00642.166e-54.043e-5
107993803882738064919277569126967534332104.9071761219899094786219820875529
7 × 11 × 19 × 4337 × 277574672069338387759
2010-07-1443372775746720693383877591.357e+132.875e+95.370e+9

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2008-08-26ANONYMOUSManual testing1548.8160.0020.000%
2016-09-07kkmrkkblmbrbkManual testing1000000001000000000012
skipped known factor: 21599
skipped known factor: 1024263553
skipped known factor: 495651586676761
---41.429%
2022-12-29ANONYMOUST5810100000000000122192573512709700
skipped known factor: 21599
skipped known factor: 1024263553
skipped known factor: 495651586676761
--500,00079.042%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-08-26ANONYMOUSManual testing??
29.932
10


ECM factoring results:
Total ECM effort:132.217 GHz-days
Estimated T-Level:42.570
DigitsB1CompleteFacMiss
20110001,629.0930.000%
2550000525.0910.000%
30250000120.7510.000%
35100000022.7430.000%
4030000003.6692.549%
45110000000.51459.811%
50440000000.06493.815%
551100000000.00799.289%


ECM Summary

B1B2factorcurvesGHz-days
10.067
5000050000003370.042
2500002500000020.001
3500003500000060.005
4000004000000010.001
9500009500000070.017
10000001000000001890.471
30000003000000002,90021.67
1100000011000000004,011109.9


Lucas-Lehmer results:
No L-L results for M10799


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC
21599
1024263553
495651586676761
38038827380649192775691269675343
C42287C8C9FC5A24
2017-10-02kkmrkkblmbrbkManual testing
21599
1024263553
495651586676761
38038827380649192775691269675343
C42287C8C9FC5A24
2017-10-12kkmrkkblmbrbkManual testing
21599
1024263553
495651586676761
38038827380649192775691269675343
C42287C8C9FC5A24
2020-04-17Oliver KruseManual testing
21599
1024263553
495651586676761
38038827380649192775691269675343
C7F390D24321F0F3
2022-05-12Jorge CoveiroManual testing
21599
C7F390D24321F0F3


CERT results:
No CERT results for M10799


P-1 factor-bounds graph:
B1 = 100000000000, B2 = 122192573512709700 (P-1 stage 2)
B1 = 100000000000 (P-1 stage 1)
B1 = 100000000, B2 = 10000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
100
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107
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109
1010
1011
100
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107
108
109
1010
1011
1012
1013
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1016
1017
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1019
1020
1021
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=42.57 ~= 125-bit
250
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2100
2110
2120
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Last modified: 2024-03-13T02:15:48+00:00