is 21681073-1
has 506054 decimal digits
takes 0.079 GHz-days to do one L-L test
Last-known PrimeNet details:
0 L-L tests remaining
ResidueStatus
L-L8F8E552F74850236double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2630.949466.6667%1000000400000000.21329.1292%1.162675.7959%12.6380%
PrimeNet2570.011463.1579%80001300000.00102.7255%0.012465.8834%2.7255%
GPU722610.182765.5738%7000900000.00081.2556%0.183566.8294%1.2556%
Difference+2+0.7667+1.0929%+993000+39910000+0.2125+7.8737%+0.9791+8.9666%+8.9666%

Known prime factors (1 factor, 67.3 bits, 0.00400046% known):
Remaining cofactor is not a probable-prime

GHz-days
exponentfactordigitsbits*kmin B1min B2date foundmin. TFmin. P-1normal P-1
16810731755841890468118979592167.25152223844249123
3 × 29 × 151 × 3301 × 1204279
330112042792012-02-1828.0790.00470.0084

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-01-24T11:29:00Jocelyn LaroucheManual testing5000050000---0.003--1.046%
2012-02-18T13:08:00AxonManual testing100000100000---0.007--1.536%
2012-02-18T13:08:00AxonManual testing200000200000---0.014--2.140%
2012-02-18T13:08:00AxonManual testing300000300000---0.020--2.547%
2012-02-18T13:09:00AxonManual testing400000400000---0.027--2.859%
2012-02-18T13:09:00AxonManual testing500000500000---0.034--3.115%
2012-02-18T13:09:00AxonManual testing600000600000---0.041--3.332%
2012-02-18T13:09:00AxonManual testing700000700000---0.048--3.522%
2012-02-18T13:09:00AxonManual testing800000800000---0.055--3.690%
2012-02-18T13:09:00AxonManual testing900000900000---0.061--3.842%
2012-02-18T13:09:00AxonManual testing10000001000000---0.068--3.981%
2012-02-18T13:10:00AxonManual testing100000016000000---0.124--7.846%
2012-02-18T13:10:00AxonManual testing100000024000000---0.154--8.414%
2012-02-18T13:10:00AxonManual testing100000032000000---0.183--8.817%
2012-02-18T13:10:00AxonManual testing100000040000000---0.213--9.129%
2016-03-17T19:18:39alpertronManual testing5000001500000012---0.088--7.326%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-11-14T00:00:00ANONYMOUSv4_computers?257--0.011--
2003-03-27T00:00:00ANONYMOUSv4_computers?258--0.023--
2010-04-25T23:20:00For Researchm1_76l260261--0.091--
2010-10-04T14:38:00GrunwalderGIMPManual testing21263--0.949--


ECM factoring results:
ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000025114.90


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-06T00:00:00ANONYMOUSv4_computers8F8E552F748502360.079


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-03T00:10:29Oliver KruseGTX-1
175584189046811897959
061710A354108E__no
2017-11-03T02:47:38ATHec2-1xf
175584189046811897959
061710A354108E__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 40000000 (stage 2)
B1 = 1000000, B2 = 32000000 (stage 2)
B1 = 1000000, B2 = 24000000 (stage 2)
B1 = 1000000, B2 = 16000000 (stage 2)
B1 = 500000, B2 = 15000000 (stage 2)
B1 = 1000000 (stage 1)
B1 = 900000 (stage 1)
B1 = 800000 (stage 1)
B1 = 700000 (stage 1)
B1 = 600000 (stage 1)
B1 = 500000 (stage 1)
B1 = 400000 (stage 1)
B1 = 300000 (stage 1)
B1 = 200000 (stage 1)
B1 = 100000 (stage 1)
B1 = 50000 (stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
TF factor-bounds graph:
263
261
258
257
250
260
270
280
290
2100
Last modified: 2020-01-20T12:09:55+00:00