is 2 10973 - 1
has 3304 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
Actual2672,707.911979.1045%1000000000001221925735127097001,265,661.497940.4358%1,268,369.409887.5538%
Target2440.000268.1818%500100000.00001.3003%0.000268.5956%
Difference+23+2,707.9117+10.9227%+99999999500+122192573512699700+1,265,661.4979+39.1355%+1,268,369.4096+18.9582%

Known prime factors (5 factors, 170.0 bits, 1.54940425% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1097365839516.0073
3
-137.961e-132.108e-103.869e-10
10973153623617.2297
7
2008-08-26171.594e-122.523e-103.869e-10
1097318434641824.136840
23 × 3 × 5 × 7
2008-08-26882.407e-101.521e-93.095e-9
1097357560938898131031652.354262284420387
3 × 11 × 13721 × 579259
2008-08-26137215792590.08558.466e-61.121e-5
1097314101074373394350731960.29164253505756832
25 × 7 × 17 × 1213 × 13910383
2008-08-2912131391038324.5160.00010.0003

26 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-09-07kkmrkkblmbrbkManual testing1000000001000000000012-
skipped known factor: 65839
skipped known factor: 153623
skipped known factor: 18434641
skipped known factor: 5756093889813103
skipped known factor: 1410107437339435073
--0.122--12.120%
2021-08-27Seth_TrManual testing400000000400000000-
skipped known factor: 65839
skipped known factor: 153623
skipped known factor: 18434641
skipped known factor: 5756093889813103
skipped known factor: 1410107437339435073
--0.076--7.681%
2022-12-26-Anonymous-T5810100000000000122192573512709700-
skipped known factor: 65839
skipped known factor: 153623
skipped known factor: 18434641
skipped known factor: 5756093889813103
skipped known factor: 1410107437339435073
--1,265,661--40.436%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26ANONYMOUSManual testing??17.22962.41104e-150.0003.63076e-13
2008-08-26ANONYMOUSManual testing??24.13683.70336e-110.0005.57683e-9
2008-08-26ANONYMOUSManual testing??52.354160.0313.07082e-60.066


ECM factoring results:
Total ECM effort:1,291.542 GHz-days
Estimated T-Level:41.378
DigitsB1CompleteFacMiss
20110001,377.8100.000%
2550000366.8410.000%
3025000078.3840.000%
35100000013.8300.000%
4030000002.07312.575%
45110000000.27675.907%
50440000000.03396.772%
551100000000.00499.648%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000003370.046
2500002500000020.001
3500003500000060.006
4000004000000010.001
9500009500000070.018
10000001000000001,3693.745
30000003000000004,17434.26
11000000232485563310400835.6
11000000232497638687200417.8


Lucas-Lehmer results:
No L-L results for M10973


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KrusePRP
65839
153623
18434641
5756093889813103
1410107437339435073
A9B865F079422DD0no
2017-09-21Oliver KruseManual testing
65839
153623
18434641
5756093889813103
1410107437339435073
A9B865F079422DD0no
2017-10-02kkmrkkblmbrbkManual testing
65839
153623
18434641
5756093889813103
1410107437339435073
A9B865F079422D__no
2017-10-12kkmrkkblmbrbkManual testing
65839
153623
18434641
5756093889813103
1410107437339435073
A9B865F079422D__no
2020-04-17Oliver KruseManual testing
65839
153623
18434641
5756093889813103
1410107437339435073
70764FA909394A__no


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 = 400000000 (P-1 stage 1)
B1 = 100000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
1010
1011
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
TF factor-bounds graph:
2
this exponent TF target: 44
TF double-checked to: 67.8
ECM T-Level=41.38 ~= 121-bit
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2023-05-17T05:33:17+00:00