is 2 12672139 - 1
has 3814694 decimal digits
takes 5.176 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LFC4B5DF99482DD3Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27275.467466.6667 %30000071291220023.17326.5443 %98.640668.8481 %
Target2684.703664.7059 %90000110000000.40543.0966 %5.109065.7988 %
Difference+4+70.7638+1.9608 %+210000+701912200+22.7678+3.4477%+93.5316+3.0493 %

Known prime factors (1 factor, 95.3 bits, 0.00075174% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
12672139474841978344526543763413728012995.2611873566800145289377600
26 × 3 × 52 × 19 × 23 × 769 × 8527 × 136214677
2021-12-278527136214677740,084,9724.40038.2097

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-04-29ANONYMOUSv4_computers195000195000--0.1151.563%
2015-04-08ThaManual testing300000600000012--0.4244.589%
2021-12-27Luminescence5950X30000071291220022995.26127.179.364%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-03-27ANONYMOUSv4_computers212560.001
2000-05-17namjoshiv4_computers212640.155
2013-06-12lycornManual testing2642650.295
2014-04-07NesowaManual testing2652660.590
2015-03-31ThaManual testing2662671.179
2018-01-07ramgeisManual testing2672697.076
2021-08-09SRBaseManual testing2692709.435
2021-08-30SRBaseManual testing27027118.87
2021-10-29ANONYMOUSManual testing27127237.74


ECM factoring results:
Total ECM effort:1.171 GHz-days
Estimated T-Level:0.385
DigitsB1CompleteFacMiss
20110000.07792.596%
25500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
50000500000021.171


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-07-29ANONYMOUSv4_computersFC4B5DF99482DD3E5.176
2004-09-02ANONYMOUSv4_computersFC4B5DF99482DD3E5.176


PRP results:
dateuseridcompidcofactorsres64
2022-06-29Oliver KruseServer-Phi
47484197834452654376341372801
FC4CD90C9AEEF984


CERT results:
dateuseridcompid
2022-06-29Dennis Okondell-i9


P-1 factor-bounds graph:
B1 = 300000, B2 = 712912200 (P-1 stage 2)
B1 = 300000, B2 = 6000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 195000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
TF factor-bounds graph:
272
271
270
269
267
266
265
264
256
this exponent TF target: 68
TF double-checked to: 67
ECM T-Level=0.38 ~= -15-bit
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2100
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Last modified: 2024-03-13T02:15:48+00:00