is 21668517-1
has 502,274 decimal digits
takes 0.079 GHz-days to do one L-L test
Last-known PrimeNet details:
0 L-L tests remaining
ResidueStatus
L-L022977A68B2F2328double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2630.956566.6667%1,000,00040,000,0000.21329.1223%1.169875.7889%12.6310%
PrimeNet2570.011563.1579%7,000120,0000.00092.5690%0.012465.7269%2.5690%
GPU722610.184165.5738%7,00080,0000.00071.2065%0.184966.7803%1.2065%
Difference+2+0.7724+1.0929%+993,000+39,920,000+0.2125+7.9157%+0.9849+9.0086%+9.0086%

Known prime factors (1 factor, 73.4 bits, 0.00440178% known):
Remaining cofactor is not a probable-prime

GHz-days
exponentfactordigitsbits*kmin B1min B2date foundmin. TFmin. P-1normal P-1
1668517128522221790972301348172373.4443851390839619024
24 × 13 × 109 × 124979 × 1359223
124,9791,359,2232012-02-162,199.70.01310.0174

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2012-02-16T11:11:00AxonManual testing100,000100,000---0.007--1.533%
2012-02-16T11:12:00AxonManual testing200,000200,000---0.014--2.138%
2012-02-16T11:12:00AxonManual testing300,000300,000---0.020--2.544%
2012-02-16T11:12:00AxonManual testing400,000400,000---0.027--2.856%
2012-02-16T11:12:00AxonManual testing500,000500,000---0.034--3.111%
2012-02-16T11:12:00AxonManual testing600,000600,000---0.041--3.329%
2012-02-16T11:12:00AxonManual testing700,000700,000---0.048--3.518%
2012-02-16T11:12:00AxonManual testing800,000800,000---0.055--3.687%
2012-02-16T11:13:00AxonManual testing900,000900,000---0.061--3.839%
2012-02-16T11:13:00AxonManual testing1,000,0001,000,000---0.068--3.977%
2012-02-16T11:13:00AxonManual testing1,000,00016,000,000---0.124--7.839%
2012-02-16T11:13:00AxonManual testing1,000,00024,000,000---0.154--8.407%
2012-02-16T11:13:00AxonManual testing1,000,00032,000,000---0.183--8.810%
2012-02-16T11:13:00AxonManual testing1,000,00040,000,000---0.213--9.122%
2016-03-17T19:18:09alpertronManual testing500,00015,000,00012---0.088--7.320%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-11-14T00:00:00ANONYMOUSv4_computers?257--0.012--
2010-04-30T05:24:00For Researchi4l_1260261--0.092--
2010-08-22T04:21:00GrunwalderGIMPManual testing21263--0.957--


ECM factoring results:
ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50,0005,000,00025114.89


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-21T00:00:00ANONYMOUSv4_computers022977A68B2F23280.079


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-02T22:08:37Oliver KruseGTX-2
12852222179097230134817
8A812930A0CA2C__no
2017-11-02T21:51:24ATHec2-1xf
12852222179097230134817
8A812930A0CA2C__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)
104
105
106
104
105
106
107
108
TF factor-bounds graph:
263
261
257
250
260
270
280
290
2100
Last modified: 2019-12-16T13:28:01+00:00