is 2 3981391 - 1
has 1198519 decimal digits
takes 0.497 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L451A1219BBC8CAD5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26814.970967.6471 %50000001000000001.84038.5228 %16.811170.4044 %
Target2651.832466.1538 %2000018000000.02121.7020 %1.853666.7299 %
Difference+3+13.1384+1.4932 %+4980000+98200000+1.8191+6.8209%+14.9575+3.6746 %

Known prime factors (2 factors, 138.2 bits, 0.00347086% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
39813912080209717702052793272167.49526124157583393
29 × 43 × 20949605119
2022-01-25432094960511911.254206.42385.53
398139119087667146803867277132270.693239711034997616
24 × 7 × 13 × 79 × 6079 × 342821
2011-09-156079342821104.430.00440.0063

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-27Carsten Kossendeymother20000290000--0.0061.602%
2011-09-15Squeeky_SquirrelT7500_22002270.6930.0240.000%
2020-09-02JossManual testing63600079627826
skipped known factor: 1908766714680386727713
---6.097%
2022-01-31riccardo ubertiColab_noGPU145000000100000000
skipped known factor: 1908766714680386727713
--1.62210.693%
2022-03-17JossManual testing1000000129198300
skipped known factor: 1908766714680386727713
--1.5249.968%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-02-02riccardo ubertiColab_noGPU12500000010000000027--2.020
2022-02-15riccardo ubertiColab_noGPU15500000010000000065--2.020


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-08-04David Campeauv4_computers212610.039
2011-03-25Grant McCrackenhome2612620.077
2022-06-20LordJuliusManual testing262267
2022-01-25JossManual testing267268
67.495
21
7.508


ECM factoring results:
Total ECM effort:3.338 GHz-days
Estimated T-Level:3.077
DigitsB1CompleteFacMiss
20110000.61554.043%
25500000.05994.272%
302500000.00499.621%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.355
5000014400000102.982


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-14ANONYMOUSv4_computers451A1219BBC8CAD50.497
2000-02-16ANONYMOUSv4_computers451A1219BBC8CAD50.497


PRP results:
dateuseridcompidcofactorsres64
2017-09-20kkmrkkblmbrbkManual testing
1908766714680386727713
3B87140093DB4867
2018-01-08Luigi MorelliAruba_01
1908766714680386727713
3B87140093DB4867
2022-01-30riccardo ubertiColab_noGPU12
1908766714680386727713
208020971770205279327
409A4124583FB1C7


CERT results:
dateuseridcompid
2022-01-30Puangprajna


P-1 factor-bounds graph:
B1 = 5000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000, B2 = 129198300 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 636000, B2 = 7962782 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 636000 (P-1 stage 1)
B1 = 20000, B2 = 290000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
268
267
262
261
this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=3.08 ~= -6-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00