is 2 14071429 - 1
has 4235923 decimal digits
takes 6.243 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-L73361FD34C468DC9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27267.962866.6667%900000027000000014.93838.5055%82.901169.5018%2.8352%
PrimeNet2650.518563.0769%6000019000000.10314.0049%0.621664.5557%1.4787%
GPU722698.484365.2174%9000024000000.13892.8552%8.623266.2105%0.9931%
Difference+3+59.4785+1.4493%+8910000+267600000+14.7994+5.6503%+74.2779+3.2913%+3.2913%

Known prime factors (1 factor, 77.4 bits, 0.00054981% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
140714291947423513715158609910312477.3666919778771989535
5 × 1383955754397907
2021-08-04513839557543979073,801.948,508,70690,600,755

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-03-16T00:00:00BranMuffinv4_computers1600002240000---0.176--2.206%
2020-11-18T17:26:21masserManual testing5800001360000012---0.829--3.995%
2021-03-28T04:35:08masserManual testing9000000270000000---14.94--8.505%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-08-04T12:59:19masserManual testing240000014880000027P+12477.3667.376


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-08-10T00:00:00Net_Forcev4_computers?256--0.001--
2000-08-24T00:00:00ANONYMOUSv4_computers?265--0.266--
2014-07-22T14:23:00NesowaManual testing265266--0.531--
2015-08-23T20:37:00ThaManual testing266267--1.062--
2018-01-24T22:56:49ramgeisManual testing267268--2.124--
2018-01-24T22:56:49ramgeisManual testing268269--4.248--
2020-06-09T03:44:02masserManual testing269270--8.497--
2020-10-07T19:44:38masserManual testing270271--16.99--
2021-06-22T14:39:16masserManual testing271272--33.99--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.048 GHz-days
Estimated T-Level:0.300
DigitsB1CurvesCompleteFacMiss
20110006 / 1000.06094.148%
25500006 / 2800.02197.876%

New Calculation Method

Total ECM effort:4.048 GHz-days
Estimated T-Level:0.300
DigitsB1CompleteFacMiss
20110000.19482.403%
25500000.01798.266%
302500000.00199.892%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.675
50000500000153.373


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-08-17T00:00:00BranMuffinv4_computers73361FD34C468DC96.243
2005-04-02T00:00:00Team Prime Ribv4_computers73361FD34C468DC96.243


PRP results:
Exponent "14071429" not found


P-1 factor-bounds graph:
B1 = 9000000, B2 = 270000000 (P-1 stage 2)
B1 = 2400000, B2 = 148800000 (P+1 stage 2)
B1 = 9000000 (P-1 stage 1)
B1 = 2400000 (P+1 stage 1)
B1 = 580000, B2 = 13600000 (P-1 stage 2)
B1 = 580000 (P-1 stage 1)
B1 = 160000, B2 = 2240000 (P-1 stage 2)
B1 = 160000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
TF factor-bounds graph:
272
271
270
269
268
267
266
265
256
250
260
270
280
290
2100
Last modified: 2021-08-04T12:59:19+00:00