is 2 20479 - 1
has 6165 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
Actual2671,450.945777.6119 %1000000000100050279454125025,293.149430.4019 %26,744.095184.4183 %
Target2440.000165.9091 %500500000.00001.5705 %0.000166.4445 %
Difference+23+1,450.9456+11.7028 %+999999500+1000502794491250+25,293.1494+28.8315%+26,744.0950+17.9739 %

Known prime factors (8 factors, 455.8 bits, 2.22559416% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
204792948977721.49272
23 × 32
2009-07-04991.385e-114.176e-98.499e-9
20479180092327927.4244397
4397
2008-08-26143971.704e-91.116e-72.077e-7
20479710908007929.40517357
17 × 1021
2008-08-261710216.136e-93.327e-84.819e-8
20479260142689111134.599635145
3 × 5 × 7 × 23 × 263
2008-08-26232631.651e-71.674e-82.172e-8
204796868935901072523991859.25316770681920681
13 × 277 × 13711 × 339671
2008-08-26137113396716.55921.460e-51.604e-5
2047962946606779163491470812272.415153685743393631260
22 × 3 × 5 × 7 × 127 × 2881247532689
2009-06-03127288124753268989,15972.838136.04
204793101384326598759101498717689533097.9697572108810485763712824644
22 × 17 × 1217 × 403681 × 226662172032929
2009-06-274036812266621720329292.295e+125,730.010,702
204791212468317243019071049840547061888935113.224296027227218862998937897491836
22 × 17 × 4353341576747985278498492527
2018-04-281743533415767479852784984925277.894e+121.101e+172.055e+17

247 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-11-12kkmrkkblmbrbkManual testing5000000001000000000012
skipped known factor: 2948977
skipped known factor: 180092327
skipped known factor: 710908007
skipped known factor: 26014268911
skipped known factor: 686893590107252399
---42.257%
2021-12-10nordisweet16_30.8b6500000000030139400040750
skipped known factor: 2948977
skipped known factor: 180092327
skipped known factor: 710908007
skipped known factor: 26014268911
skipped known factor: 686893590107252399
skipped known factor: 6294660677916349147081
--1,08163.201%
2022-04-06JossManual testing1000000000100475912316780274244.5873,59565.440%
2022-04-09JossManual testing10000000001000502794541250274244.58735,78869.819%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-10-14nordisweet1620000000002000000000027--1.857
2021-10-14nordisweet1620000000002000000000065--1.857


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-08-26ANONYMOUSManual testing??
27.424
9
2008-08-26ANONYMOUSManual testing??
29.405
9
2008-08-26ANONYMOUSManual testing??
34.599
11
2009-07-04GrunwalderGIMPv4_computers??
21.492
27.424
34.599
7
9
11
2022-06-17LordJuliusManual testing251262
skipped known factors(?)
2022-06-17LordJuliusWhitebox260262


ECM factoring results:
Total ECM effort:526.197 GHz-days
Estimated T-Level:43.708
DigitsB1CompleteFacMiss
20110002,312.0840.000%
2550000708.8440.000%
30250000165.5750.000%
35100000031.7270.000%
4030000005.2060.549%
45110000000.74247.631%
50440000000.09491.049%
551100000000.01198.943%
602600000000.00199.894%


ECM Summary

B1B2factorcurvesGHz-days
10.000
10.000
10.005
5000050000001570.048
250000250000004460.739
10000001000000001731.155
10000002000000001,0008.849
30000003000000001,75935.23
30000003000000002414.827
1100000011000000003,000220.3
1100000012760000001,00077.27
1100000015839546751,00083.96
1100000020240000001,00093.51
various200.2671


Lucas-Lehmer results:
No L-L results for M20479


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC
2948977
180092327
710908007
26014268911
686893590107252399
6294660677916349147081
310138432659875910149871768953
2F0E51A751B424F3
2017-10-02kkmrkkblmbrbkManual testing
2948977
180092327
710908007
26014268911
686893590107252399
6294660677916349147081
310138432659875910149871768953
2F0E51A751B424F3
2017-12-07ATHManual testing
2948977
180092327
710908007
26014268911
686893590107252399
6294660677916349147081
310138432659875910149871768953
2F0E51A751B424F3
2018-04-29ANONYMOUSdory
2948977
180092327
710908007
26014268911
686893590107252399
6294660677916349147081
310138432659875910149871768953
12124683172430190710498405470618889
BDADF3F9306DF690
2018-05-02MiRoE8400
2948977
180092327
710908007
26014268911
686893590107252399
6294660677916349147081
310138432659875910149871768953
12124683172430190710498405470618889
BDADF3F9306DF690


CERT results:
No CERT results for M20479


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 1000502794541250 (P-1 stage 2)
B1 = 1000000000, B2 = 100475912316780 (P-1 stage 2)
B1 = 5000000000, B2 = 30139400040750 (P-1 stage 2)
B1 = 5000000000 (P-1 stage 1)
B1 = 500000000, B2 = 10000000000 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 500000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
1010
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
TF factor-bounds graph:
262
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=43.71 ~= 129-bit
250
260
270
280
290
2100
2110
2120
2130
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Last modified: 2024-03-13T02:15:48+00:00