is 21719583-1
has 517,647 decimal digits
takes 0.081 GHz-days to do one L-L test
Last-known PrimeNet details:
0 L-L tests remaining
ResidueStatus
L-L2812DCB19DB167B1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2654.242767.6923%1,562,2481,562,2480.10663.7673%4.349371.4596%8.3017%
PrimeNet2570.011263.1579%8,000140,0000.00102.7932%0.012265.9511%2.7932%
GPU722610.178665.5738%7,000110,0000.00091.3436%0.179566.9174%1.3436%
Difference+4+4.0641+2.1185%+1,555,248+1,452,248+0.1057+2.4237%+4.1698+4.5423%+4.5423%

Known prime factors (1 factor, 118.5 bits, 0.00689010% known):
Remaining cofactor is not a probable-prime

GHz-days
exponentfactordigitsbits*kmin B1min B2date foundmin. TFmin. P-1normal P-1
171958346381263124652976585982345471569372136118.481134861949451270966815740634420
22 × 3 × 5 × 45307 × 99523 × 106543 × 627709 × 7453601
627,7097,453,6012015-08-188.726e+100.06820.0872

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-10T06:35:00Carsten Kossendeyleela90,0001,507,500---0.011--2.991%
2014-04-01T22:36:00Jocelyn LaroucheManual testing100,000100,000---0.007--1.172%
2014-05-03T14:50:00Jocelyn LaroucheManual testing150,000150,000---0.010--1.450%
2014-10-06T21:12:00Jocelyn LaroucheManual testing187,325187,325---0.013--1.618%
2015-01-09T22:25:00Jocelyn LaroucheManual testing280,987280,987---0.019--1.953%
2015-02-14T12:30:00Jocelyn LaroucheManual testing373,992373,992---0.026--2.211%
2015-02-22T09:50:00Jocelyn LaroucheManual testing411,391411,391---0.028--2.301%
2015-03-06T12:09:00Jocelyn LaroucheManual testing452,530452,530---0.031--2.393%
2015-03-14T11:30:00Jocelyn LaroucheManual testing497,783497,783---0.034--2.487%
2015-04-08T16:59:00Jocelyn LaroucheManual testing602,317602,317---0.041--2.681%
2015-05-01T17:20:00Jocelyn LaroucheManual testing728,802728,802---0.050--2.883%
2015-05-07T16:18:00Jocelyn LaroucheManual testing801,682801,682---0.055--2.987%
2015-05-22T00:28:00Jocelyn LaroucheManual testing881,850881,850---0.060--3.092%
2015-05-26T18:16:00Jocelyn LaroucheManual testing970,035970,035---0.066--3.200%
2015-06-08T13:43:00Jocelyn LaroucheManual testing1,067,0381,067,038---0.073--3.310%
2015-06-25T21:15:00Jocelyn LaroucheManual testing1,173,7411,173,741---0.080--3.421%
2015-07-07T18:13:00Jocelyn LaroucheManual testing1,291,1151,291,115---0.088--3.535%
2015-07-13T12:24:00Jocelyn LaroucheManual testing1,420,2261,420,226---0.097--3.650%
2015-07-24T22:03:00Jocelyn LaroucheManual testing1,562,2481,562,248---0.107--3.767%
2015-08-18T21:45:00mikrMSI3,642,200123,456,7891236118.4810.6940.1621.38810.067%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-02-02T00:00:00ANONYMOUSv4_computers?258--0.022--
2010-04-24T12:42:00For Researcha3_bu2260261--0.089--
2010-10-27T20:37:00GrunwalderGIMPManual testing21263--0.928--
2015-05-02T17:58:00snme2pm1Manual testing263264--1.142--
2015-05-02T17:58:00snme2pm1Manual testing264265--2.173--


ECM factoring results:
ECM Summary

B1B2factorcurvesGHz-days
50,0005,000,00025415.12


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-11-21T00:00:00ANONYMOUSv4_computers2812DCB19DB167B10.081
2015-07-18T19:04:00MadPooManual testing2812DCB19DB167B10.081


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-03T04:09:52Oliver KruseGTX-1
463812631246529765859823454715693721
7657C705AA8FD7__no
2017-11-10T15:14:51kkmrkkblmbrbkc4.xlarge
463812631246529765859823454715693721
7657C705AA8FD7__no


P-1 factor-bounds graph:
B1 = 3,642,200, B2 = 123,456,789 (stage 2)
B1 = 3,642,200 (stage 1)
B1 = 1,562,248 (stage 1)
B1 = 1,420,226 (stage 1)
B1 = 1,291,115 (stage 1)
B1 = 1,173,741 (stage 1)
B1 = 1,067,038 (stage 1)
B1 = 970,035 (stage 1)
B1 = 881,850 (stage 1)
B1 = 801,682 (stage 1)
B1 = 728,802 (stage 1)
B1 = 602,317 (stage 1)
B1 = 497,783 (stage 1)
B1 = 452,530 (stage 1)
B1 = 411,391 (stage 1)
B1 = 373,992 (stage 1)
B1 = 280,987 (stage 1)
B1 = 187,325 (stage 1)
B1 = 90,000, B2 = 1,507,500 (stage 2)
B1 = 150,000 (stage 1)
B1 = 100,000 (stage 1)
B1 = 90,000 (stage 1)
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TF factor-bounds graph:
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2120
Last modified: 2020-05-18T10:37:11+00:00