is 21673927-1
has 503,903 decimal digits
takes 0.079 GHz-days to do one L-L test
Last-known PrimeNet details:
0 L-L tests remaining
ResidueStatus
L-L84555BA30D2AC16Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2630.953566.6667%1,000,00040,000,0000.21329.1253%1.166775.7919%12.6341%
PrimeNet2570.011563.1579%7,000120,0000.00092.5706%0.012465.7285%2.5706%
GPU722610.183565.5738%7,00080,0000.00071.2074%0.184366.7812%1.2074%
Difference+2+0.7699+1.0929%+993,000+39,920,000+0.2125+7.9179%+0.9824+9.0108%+9.0108%

Known prime factors (1 factor, 66.8 bits, 0.00399090% known):
Remaining cofactor is not a probable-prime

GHz-days
exponentfactordigitsbits*kmin B1min B2date foundmin. TFmin. P-1normal P-1
16739271288901093666828519832166.80538499322063233
3 × 31 × 389 × 887 × 1199767
8871,199,7672012-02-1715.7280.00450.0083

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2012-02-17T11:09:00AxonManual testing100,000100,000---0.007--1.534%
2012-02-17T11:09:00AxonManual testing200,000200,000---0.014--2.139%
2012-02-17T11:09:00AxonManual testing300,000300,000---0.020--2.545%
2012-02-17T11:10:00AxonManual testing400,000400,000---0.027--2.858%
2012-02-17T11:10:00AxonManual testing500,000500,000---0.034--3.113%
2012-02-17T11:10:00AxonManual testing600,000600,000---0.041--3.330%
2012-02-17T11:10:00AxonManual testing700,000700,000---0.048--3.520%
2012-02-17T11:10:00AxonManual testing800,000800,000---0.055--3.688%
2012-02-17T11:10:00AxonManual testing900,000900,000---0.061--3.840%
2012-02-17T11:10:00AxonManual testing1,000,0001,000,000---0.068--3.979%
2012-02-17T11:11:00AxonManual testing1,000,00016,000,000---0.124--7.842%
2012-02-17T11:11:00AxonManual testing1,000,00024,000,000---0.154--8.410%
2012-02-17T11:11:00AxonManual testing1,000,00032,000,000---0.183--8.813%
2012-02-17T11:11:00AxonManual testing1,000,00040,000,000---0.213--9.125%
2016-03-17T19:18:13alpertronManual testing500,00015,000,00012---0.088--7.323%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-11-21T00:00:00ANONYMOUSv4_computers?257--0.011--
2003-04-03T00:00:00ANONYMOUSv4_computers?258--0.023--
2010-04-27T23:20:00For Researchm1_f2260261--0.092--
2010-08-31T00:27:00GrunwalderGIMPManual testing21263--0.953--


ECM factoring results:
ECM Summary

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


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13T00:00:00ANONYMOUSv4_computers84555BA30D2AC16A0.079


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-02T23:09:39Oliver KruseGTX-3
128890109366682851983
A13B021F55B826__no
2017-11-03T01:31:57kkmrkkblmbrbkc4.xlarge
128890109366682851983
A13B021F55B826__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)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
TF factor-bounds graph:
263
261
258
257
250
260
270
280
290
2100
Last modified: 2020-01-06T12:24:47+00:00