is 2 14085713 - 1
has 4240223 decimal digits
takes 6.250 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-L29904293D0C0313Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27267.893966.6667%700000021000000011.61878.0670%79.512569.3557%2.6890%
PrimeNet2650.518063.0769%6000019000000.10314.0055%0.621064.5559%1.4790%
GPU722698.475765.2174%9000024000000.13892.8557%8.614666.2107%0.9933%
Difference+3+59.4181+1.4493%+6910000+207600000+11.4798+5.2114%+70.8979+3.1450%+3.1450%

Known prime factors (1 factor, 79.6 bits, 0.00056513% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
140857139179792258942525962734712479.60332585472453338095
5 × 23 × 1741 × 162752403433
2021-09-02174116275240343313,8755,704.610,655

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-22T00:00:00ANONYMOUSv4_computers205000205000---0.132--0.970%
2017-04-08T01:45:26ThaManual testing30000060000006---0.393--3.078%
2021-01-16T01:56:06masserManual testing5800001360000012---0.829--3.996%
2021-03-03T14:26:47masserManual testing7000000210000000---11.62--8.067%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-09-02T21:17:07masserManual testing1000000100000027P+12479.6030.978


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-08-10T00:00:00Net_Forcev4_computers?256--0.001--
2000-09-15T00:00:00ANONYMOUSv4_computers?264--0.139--
2000-09-15T00:00:00ANONYMOUSv4_computers?265--0.265--
2014-07-22T14:25:00NesowaManual testing265266--0.531--
2015-08-23T20:37:00ThaManual testing266267--1.061--
2018-03-13T09:55:29ramgeisManual testing267268--2.122--
2018-03-13T09:55:29ramgeisManual testing268269--4.244--
2020-07-14T17:40:00masserManual testing269270--8.488--
2020-07-14T17:40:00masserManual testing270271--16.98--
2021-07-27T20:13:25masserManual testing271272--33.95--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.723 GHz-days
Estimated T-Level:0.350
DigitsB1CurvesCompleteFacMiss
20110007 / 1000.07093.207%
25500007 / 2800.02597.527%

New Calculation Method

Total ECM effort:4.723 GHz-days
Estimated T-Level:0.350
DigitsB1CompleteFacMiss
20110000.22679.787%
25500000.02097.980%
302500000.00199.874%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.675
50000500000164.048


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-03-31T00:00:00ANONYMOUSv4_computers29904293D0C0313F6.250
2003-08-31T00:00:00curtiscv4_computers29904293D0C0313F6.250


PRP results:
Exponent "14085713" not found


P-1 factor-bounds graph:
B1 = 7000000, B2 = 210000000 (P-1 stage 2)
B1 = 7000000 (P-1 stage 1)
B1 = 580000, B2 = 13600000 (P-1 stage 2)
B1 = 1000000 (P+1 stage 1)
B1 = 300000, B2 = 6000000 (P-1 stage 2)
B1 = 580000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 205000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
256
250
260
270
280
290
2100
Last modified: 2021-09-02T21:17:07+00:00