is 21680401-1
has 505,852 decimal digits
takes 0.079 GHz-days to do one L-L test
Last-known PrimeNet details:
0 L-L tests remaining
ResidueStatus
L-LD582F259E57AB904double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2630.949866.6667%1,000,00020,000,0000.13898.1580%1.088774.8247%11.6668%
PrimeNet2570.011463.1579%8,000130,0000.00102.7253%0.012465.8832%2.7253%
GPU722610.182865.5738%7,00090,0000.00081.2555%0.183666.8292%1.2555%
Difference+2+0.7670+1.0929%+993,000+19,910,000+0.1381+6.9026%+0.9051+7.9955%+7.9955%

Known prime factors (2 factors, 138.3 bits, 0.00822878% known):
Remaining cofactor is not a probable-prime

GHz-days
exponentfactordigitsbits*kmin B1min B2date foundmin. TFmin. P-1normal P-1
1680401208743875248100090412064.1786211132796520
23 × 32 × 5 × 37 × 53 × 8798137
538,798,1372012-04-012.58020.03270.0611
1680401202200520008167031984732374.0986016436553184836
22 × 3 × 1669 × 26107 × 11506541
26,10711,506,5412012-04-014,216.50.04450.0799

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
168040142208120123685785198716735602542874739439342138.277
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-01-24T11:29:00Jocelyn LaroucheManual testing50,00050,000---0.003--1.046%
2012-02-29T17:10:00AxonManual testing100,000100,000---0.007--1.535%
2012-02-29T17:14:00AxonManual testing200,000200,000---0.014--2.140%
2012-02-29T18:10:00AxonManual testing300,000300,000---0.020--2.547%
2012-02-29T18:13:00AxonManual testing400,000400,000---0.027--2.859%
2012-02-29T19:11:00AxonManual testing500,000500,000---0.034--3.115%
2012-02-29T19:13:00AxonManual testing600,000600,000---0.041--3.332%
2012-02-29T20:10:00AxonManual testing700,000700,000---0.048--3.522%
2012-02-29T20:13:00AxonManual testing800,000800,000---0.055--3.690%
2012-02-29T21:11:00AxonManual testing900,000900,000---0.061--3.842%
2012-02-29T21:14:00AxonManual testing1,000,0001,000,000---0.068--3.981%
2012-03-01T06:09:00AxonManual testing1,000,0008,000,000---0.094--6.874%
2012-03-01T07:10:00AxonManual testing1,000,00020,000,000---0.139--8.158%
2016-03-17T19:18:38alpertronManual testing500,00015,000,00012---0.088--7.326%


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--
2003-03-27T00:00:00ANONYMOUSv4_computers?258--0.023--
2010-04-25T12:30:00For Researchm1_76l260261--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_computersD582F259E57AB9040.079
1998-11-21T00:00:00ANONYMOUSv4_computersD582F259E57AB9040.079


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-03T04:05:14Oliver KruseDoppelherz
20874387524810009041
20220052000816703198473
C1D17E526801F661no
2017-10-05T22:10:36Oliver KruseManual testing
20874387524810009041
20220052000816703198473
C1D17E526801F6__no
2017-11-10T23:21:59kkmrkkblmbrbkc4.xlarge
20874387524810009041
20220052000816703198473
C1D17E526801F6__no


P-1 factor-bounds graph:
B1 = 1,000,000, B2 = 20,000,000 (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)
B1 = 50,000 (stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
263
261
258
257
256
250
260
270
280
290
2100
Last modified: 2020-01-13T11:53:36+00:00