is 2 14696897 - 1
has 4424207 decimal digits
takes 7.038 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L9FE66AE9B62F79EDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual273130.152967.1233 %210000053460498021.60417.6976 %151.757069.6540 %
Target2698.123365.2174 %100000130000000.55752.9843 %8.680766.2554 %
Difference+4+122.0297+1.9059 %+2000000+521604980+21.0466+4.7133%+143.0763+3.3986 %

Known prime factors (1 factor, 78.7 bits, 0.00053543% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
146968974880734733077783568167932478.69116604643596120268
22 × 3 × 13 × 842993 × 126264421
2022-03-108429931262644218,049.35.33038.9219

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-05-25Ignacio_Larrosav4_computers1650002062500--0.1863.072%
2022-03-10firejugglerMaison210000053460498022478.69124.6710.519%


Trial Factoring results:
5758596061626364656667686970717273
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-08-24Net_Forcev4_computers212560.001
2000-08-31Net_Forcev4_computers212570.001
2000-09-08Net_Forcev4_computers212580.003
2000-10-07Net_Forcev4_computers212590.003
2000-11-25ANONYMOUSv4_computers212650.254
2014-08-30NesowaManual testing2652660.508
2015-10-09NesowaManual testing2662671.017
2018-02-05ramgeisManual testing2672696.101
2021-08-14Seth_TrManual testing26927124.41
2021-10-15ANONYMOUSManual testing27127232.54
2021-12-08ANONYMOUSManual testing27227365.08


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)
2002-06-29Ignacio_Larrosav4_computers9FE66AE9B62F79ED7.038
2005-09-22PaJaSoftv4_computers9FE66AE9B62F79ED7.038


PRP results:
dateuseridcompidcofactorsres64
2023-04-19Perigbrollach
488073473307778356816793
77821557636FA9ED


CERT results:
dateuseridcompid
2023-04-20Chad SteenersonLulabelle3


P-1 factor-bounds graph:
B1 = 2100000, B2 = 534604980 (P-1 stage 2)
B1 = 2100000 (P-1 stage 1)
B1 = 165000, B2 = 2062500 (P-1 stage 2)
B1 = 165000 (P-1 stage 1)
104
105
106
107
104
105
106
107
108
109
TF factor-bounds graph:
273
272
271
269
267
266
265
259
258
257
256
this exponent TF target: 69
TF double-checked to: 67
ECM T-Level=0.19 ~= -16-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00