is 2 14079409 - 1
has 4238325 decimal digits
takes 6.247 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L35330DF7B624AD21double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27133.955966.1972 %700000021000000011.61878.7017 %45.574569.1386 %
Target2698.479565.2174 %90000120000000.47542.8555 %8.954966.2106 %
Difference+2+25.4763+0.9798 %+6910000+198000000+11.1433+5.8463%+36.6196+2.9280 %

Known prime factors (1 factor, 75.2 bits, 0.00053440% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
14079409446150245748800649957592375.2401584406865901831
3 × 61 × 54139 × 159920963
2020-07-0254139159920963902.405.638310.469

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-12-22ANONYMOUSv4_computers1550001666250--0.1532.872%
2020-07-02masserManual testing70000002100000001222375.24012.5410.083%


Trial Factoring results:
575859606162636465666768697071
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-08-10Net_Forcev4_computers212560.001
2000-09-08ANONYMOUSv4_computers212650.265
2014-07-22NesowaManual testing2652660.531
2015-08-23ThaManual testing2662671.062
2018-01-24ramgeisManual testing2672696.369
2020-06-20masserManual testing26927125.48


ECM factoring results:
Total ECM effort:9.467 GHz-days
Estimated T-Level:2.500
DigitsB1CompleteFacMiss
20110000.50060.653%
25500000.04695.479%
302500000.00399.709%


ECM Summary

B1B2factorcurvesGHz-days
500005000000139.467


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-03-24ANONYMOUSv4_computers35330DF7B624AD216.247
2005-04-11ANONYMOUSv4_computers35330DF7B624AD216.247


PRP results:
dateuseridcompidcofactorsres64
2022-12-21ATHec2-P_1
44615024574880064995759
B110F6DFDE600B6F


CERT results:
dateuseridcompid
2022-12-21paulrectorHome


P-1 factor-bounds graph:
B1 = 7000000, B2 = 210000000 (P-1 stage 2)
B1 = 7000000 (P-1 stage 1)
B1 = 155000, B2 = 1666250 (P-1 stage 2)
B1 = 155000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
271
269
267
266
265
256
this exponent TF target: 69
TF double-checked to: 67
ECM T-Level=2.5 ~= -8-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00