is 21679329-1
has 505,529 decimal digits
takes 0.079 GHz-days to do one L-L test
Last-known PrimeNet details:
0 L-L tests remaining
ResidueStatus
L-L17EEEE86F50A9F44double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2630.950466.6667%1,000,00040,000,0000.21329.1283%1.163675.7949%12.6370%
PrimeNet2570.011463.1579%8,000130,0000.00102.7250%0.012465.8828%2.7250%
GPU722610.182965.5738%7,00090,0000.00081.2553%0.183766.8291%1.2553%
Difference+2+0.7675+1.0929%+993,000+39,910,000+0.2125+7.8730%+0.9799+8.9659%+8.9659%

Known prime factors (1 factor, 64.2 bits, 0.00382086% known):
Remaining cofactor is not a probable-prime

GHz-days
exponentfactordigitsbits*kmin B1min B2date foundmin. TFmin. P-1normal P-1
1679329206802738833330588872064.1656157302673667
79 × 39341 × 1981153
39,3411,981,1532012-02-183.15350.00990.0138

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-01-24T01:11:00Jocelyn LaroucheManual testing50,00050,000---0.003--1.046%
2012-02-18T13:08:00AxonManual testing100,000100,000---0.007--1.535%
2012-02-18T13:08:00AxonManual testing200,000200,000---0.014--2.140%
2012-02-18T13:08:00AxonManual testing300,000300,000---0.020--2.547%
2012-02-18T13:09:00AxonManual testing400,000400,000---0.027--2.859%
2012-02-18T13:09:00AxonManual testing500,000500,000---0.034--3.114%
2012-02-18T13:09:00AxonManual testing600,000600,000---0.041--3.332%
2012-02-18T13:09:00AxonManual testing700,000700,000---0.048--3.521%
2012-02-18T13:09:00AxonManual testing800,000800,000---0.055--3.690%
2012-02-18T13:09:00AxonManual testing900,000900,000---0.061--3.842%
2012-02-18T13:09:00AxonManual testing1,000,0001,000,000---0.068--3.981%
2012-02-18T13:10:00AxonManual testing1,000,00016,000,000---0.124--7.845%
2012-02-18T13:10:00AxonManual testing1,000,00024,000,000---0.154--8.413%
2012-02-18T13:10:00AxonManual testing1,000,00032,000,000---0.183--8.816%
2012-02-18T13:10:00AxonManual testing1,000,00040,000,000---0.213--9.128%
2016-03-17T19:18:37alpertronManual testing500,00015,000,00012---0.088--7.325%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-11-12T00:00:00ANONYMOUSv4_computers?256--0.006--
1998-11-14T00:00:00ANONYMOUSv4_computers?257--0.011--
1998-11-28T00:00:00ANONYMOUSv4_computers?257--0.011--
2003-03-27T00:00:00ANONYMOUSv4_computers?258--0.023--
2010-04-28T01:20:00For Researchm1_f2260261--0.091--
2010-09-13T18:09:00GrunwalderGIMPManual testing21263--0.950--


ECM factoring results:
ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50,0005,000,00025114.90


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-11-12T00:00:00ANONYMOUSv4_computers17EEEE86F50A9F440.079
1998-12-21T00:00:00ANONYMOUSv4_computers17EEEE86F50A9F440.079


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-02T23:40:12Oliver KruseGTX-3
20680273883333058887
EF6C8E0A1E804D__no
2017-11-03T06:21:26kkmrkkblmbrbkold
20680273883333058887
EF6C8E0A1E804D__no


P-1 factor-bounds graph:
B1 = 1,000,000, B2 = 40,000,000 (stage 2)
B1 = 1,000,000, B2 = 32,000,000 (stage 2)
B1 = 1,000,000, B2 = 24,000,000 (stage 2)
B1 = 1,000,000, B2 = 16,000,000 (stage 2)
B1 = 500,000, B2 = 15,000,000 (stage 2)
B1 = 1,000,000 (stage 1)
B1 = 900,000 (stage 1)
B1 = 800,000 (stage 1)
B1 = 700,000 (stage 1)
B1 = 600,000 (stage 1)
B1 = 500,000 (stage 1)
B1 = 400,000 (stage 1)
B1 = 300,000 (stage 1)
B1 = 200,000 (stage 1)
B1 = 100,000 (stage 1)
B1 = 50,000 (stage 1)
103
104
105
106
103
104
105
106
107
108
TF factor-bounds graph:
263
261
258
257
256
250
260
270
280
290
2100
Last modified: 2020-01-20T12:09:37+00:00