is 21643641-1
has 494,786 decimal digits
takes 0.073 GHz-days to do one L-L test
Last-known PrimeNet details:
0 L-L tests remaining
ResidueStatus
L-L05B13D53A4327B83double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2630.971066.6667%1,000,00040,000,0000.20249.1083%1.173475.7750%12.6171%
PrimeNet2570.011763.1579%7,000120,0000.00092.5615%0.012565.7194%2.5615%
GPU722610.186965.5738%6,50080,0000.00071.1711%0.187666.7449%1.1711%
Difference+2+0.7841+1.0929%+993,500+39,920,000+0.2017+7.9372%+0.9858+9.0301%+9.0301%

Known prime factors (2 factors, 153.9 bits, 0.00936074% known):
Remaining cofactor is not a probable-prime

GHz-days
exponentfactordigitsbits*kmin B1min B2date foundmin. TFmin. P-1normal P-1
16436411381387069675974557302632476.87042022165110141891
3 × 131 × 2549 × 5021 × 8354603
5,0218,354,6032012-02-2518,1200.02980.0551
16436411497085811804826714004812476.98745541751872970640
24 × 3 × 5 × 7 × 8291 × 3269591803
8,2913.26959e+92019-10-2814,39011.53821.548

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
16436412068054982622547093390821925489551844078445650347153.857
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2012-02-25T07:05:00AxonManual testing100,000100,000---0.006--1.529%
2012-02-25T07:05:00AxonManual testing200,000200,000---0.013--2.132%
2012-02-25T07:06:00AxonManual testing300,000300,000---0.019--2.538%
2012-02-25T07:06:00AxonManual testing400,000400,000---0.026--2.850%
2012-02-25T07:06:00AxonManual testing500,000500,000---0.032--3.105%
2012-02-25T07:06:00AxonManual testing600,000600,000---0.039--3.322%
2012-02-25T07:06:00AxonManual testing700,000700,000---0.045--3.511%
2012-02-25T07:07:00AxonManual testing800,000800,000---0.052--3.679%
2012-02-25T07:07:00AxonManual testing900,000900,000---0.058--3.831%
2012-02-25T07:07:00AxonManual testing1,000,0001,000,000---0.065--3.969%
2012-02-25T07:08:00AxonManual testing1,000,0008,000,000---0.089--6.857%
2012-02-25T07:08:00AxonManual testing1,000,00024,000,000---0.146--8.394%
2012-02-25T07:08:00AxonManual testing1,000,00032,000,000---0.174--8.796%
2012-02-25T07:08:00AxonManual testing1,000,00040,000,000---0.202--9.108%
2016-03-17T19:17:47alpertronManual testing500,00015,000,00012---0.084--7.307%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-06-01T00:00:00ANONYMOUSv4_computers?258--0.023--
2010-05-01T06:50:00For Researchm1_76l260261--0.093--
2010-07-30T00:04:00GrunwalderGIMPManual testing21263--0.971--


ECM factoring results:
ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50,0005,000,00021912.31
50,0005,000,000321.799


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-11-21T00:00:00ANONYMOUSv4_computers05B13D53A4327B830.073
1998-12-13T00:00:00ANONYMOUSv4_computers05B13D53A4327B830.073


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-02T17:22:47Oliver KruseGTX-2
138138706967597455730263
B638E04F5DB913__no
2017-11-02T05:29:53kkmrkkblmbrbkold
138138706967597455730263
B638E04F5DB913__no
2019-10-29T04:15:56mnd9f3
138138706967597455730263
149708581180482671400481
67B4965211D98D44no
2019-10-29T04:31:59Igvan28MineOld
138138706967597455730263
149708581180482671400481
67B4965211D98D44no


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 = 8,000,000 (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)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
263
261
258
250
260
270
280
290
2100
Last modified: 2019-10-29T04:31:59+00:00