is 2 14209381 - 1
has 4277450 decimal digits
takes 6.805 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LDC1A8AD570270C76double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2672.091164.1791 %3000002147909408.32308.9779 %10.414167.3951 %
Target2698.402065.2174 %100000120000000.51962.9168 %8.921666.2319 %
Difference-2-6.3108-1.0383 %+200000+202790940+7.8033+6.0611%+1.4925+1.1631 %

Known prime factors (2 factors, 159.0 bits, 0.00111923% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
14209381178727501338137012218472373.920628906710778383
3 × 2143 × 54091 × 1808497
2017-08-22540911808497265.840.10390.1278
14209381419151576446230943614133532685.1161474911456193028196
22 × 32 × 7 × 19 × 1699 × 79699 × 2274917
2017-08-227969922749171,042,7380.13840.1607

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-03-16ANONYMOUSv4_computers130000617500--0.1092.131%
2017-08-22ThaManual testing30000060000006248159.0360.4244.207%
2022-10-31nordisweet16_30.8b14300000300000--0.2081.719%
2023-01-01nordisweet16_30.8b14300000214790940
skipped known factor: 17872750133813701221847
skipped known factor: 41915157644623094361413353
--9.907.508%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-08-17Net_Forcev4_computers212560.001
2000-09-23subgeniusv4_computers212650.263
2016-03-16Mark RoseManual testing265266
2015-08-28ThaManual testing2662671.052


ECM factoring results:
Total ECM effort:0.728 GHz-days
Estimated T-Level:0.192
DigitsB1CompleteFacMiss
20110000.03896.227%
25500000.00499.645%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.728


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-04-20ANONYMOUSv4_computersDC1A8AD570270C766.805
2005-11-01ANONYMOUSv4_computers6E494D690960C9666.805
2006-04-14shaneamyv4_computersDC1A8AD570270C766.805


PRP results:
dateuseridcompidcofactorsres64
2023-01-10jeriffeeLiving_Room
41915157644623094361413353
17872750133813701221847
834E65FFACDDD63D


CERT results:
dateuseridcompid
2023-01-10FCG PrimesRFT_Dell


P-1 factor-bounds graph:
B1 = 300000, B2 = 214790940 (P-1 stage 2)
B1 = 300000, B2 = 6000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 130000, B2 = 617500 (P-1 stage 2)
B1 = 130000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
109
TF factor-bounds graph:
267
266
265
256
this exponent TF target: 69
TF double-checked to: 67
ECM T-Level=0.19 ~= -16-bit
250
260
270
280
290
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Last modified: 2024-03-13T02:15:48+00:00