is 2 66973 - 1
has 20161 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LEA443047C0225095double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267443.670174.6269%10000000020000000000.432011.3806%444.102177.5145%2.8876%
PrimeNet2400.000057.5000%700100000.00005.5649%0.000059.8651%2.3651%
GPU722440.000061.3636%500100000.00002.2172%0.000062.2203%0.8566%
Difference+23+443.6701+13.2632%+99999500+1999990000+0.4320+9.1634%+444.1021+15.2942%+15.2942%

Known prime factors (1 factor, 123.6 bits, 0.18448649% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
669731563518019292855673684270764460426314338123.556116727488636678637188439428162127
32 × 131 × 239 × 414248968655369372627818867		2021-04-042394142489686553693726278188672.420e+124.791e+168.948e+16

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29T00:00:00ANONYMOUSv4_computers10000010000000---0.001--2.215%
2001-08-18T00:00:00Alex Kruppav4_computers1000000100000000---0.014--5.214%
2002-04-28T00:00:00ANONYMOUSv4_computers163841638400---0.000--0.771%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.000--1.220%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.001--1.799%
2003-02-02T00:00:00ANONYMOUSv4_computers13107213107200---0.002--2.505%
2003-03-27T00:00:00ANONYMOUSv4_computers26214426214400---0.004--3.328%
2003-05-04T00:00:00ANONYMOUSv4_computers1048576104857600---0.014--5.288%
2003-06-06T00:00:00ANONYMOUSv4_computers2097152209715200---0.028--6.408%
2003-08-08T00:00:00ANONYMOUSv4_computers4194304419430400---0.057--7.613%
2003-11-08T00:00:00ANONYMOUSv4_computers8388608838860800---0.114--8.890%
2003-11-28T00:00:00ANONYMOUSv4_computers167772161677721600---0.228--10.219%
2012-06-03T14:06:00alpertronManual testing1000000002000000000---0.432--11.381%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-15T00:00:00ANONYMOUSv4_computers252253--0.009--
2000-04-05T00:00:00ANONYMOUSv4_computers21254--0.036--
2000-11-15T00:00:00ANONYMOUSv4_computers21256--0.143--
2002-10-12T00:00:00ANONYMOUSv4_computers21257--0.287--
2016-02-23T04:50:40LaurVManual testing257258--0.287--
2016-02-23T04:50:53LaurVManual testing258259--0.573--
2009-01-23T22:09:00Sturle Sundegimo.ifi259260--1.147--
2013-11-03T23:54:00lycornasteroid260261--2.293--
2014-12-24T02:34:00Sid & AndyMrs_Potato_Head261262--4.587--
2016-04-12T08:12:21Sid & AndyBullseye262263--14.66--
2018-01-01T08:09:49YxinityManual testing263264--29.31--
2017-12-31T18:08:32YxinityYGSMainFrame263264--29.31--
2019-02-14T16:39:54YxinityManual testing264265--55.79--
2019-02-14T10:32:36YxinityYGSMainFrame264265--55.79--
2021-03-30T11:12:13Ruslan BorisovManual testing265266--111.6--


ECM factoring results:

Old Calculation Method

Total ECM effort:193.941 GHz-days
Estimated T-Level:36.740
DigitsB1CurvesCompleteFacMiss
20110003178 / 10031.7800.000%
25500003178 / 28011.3500.001%
302500003178 / 6404.9660.695%
3510000003044 / 15801.92714.556%
4030000001636 / 47000.34870.601%

New Calculation Method

Total ECM effort:193.941 GHz-days
Estimated T-Level:36.740
DigitsB1CompleteFacMiss
2011000539.5100.000%
2550000119.7480.000%
3025000021.5800.000%
3510000003.1494.291%
4030000000.38368.189%
45110000000.04096.049%
50440000000.00499.623%


ECM Summary

B1B2factorcurvesGHz-days
250000250000001341.023
10000001000000001,40843.01
30000003000000001,635149.8
300000030000000010.092


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11T05:58:00MadPooManual testingEA443047C02250959.80410e-5


PRP results:
dateuseridcompidcofactorsres64PRP
2021-04-06T05:05:45Joe S.VMWare3
15635180192928556736842707644604263143
C0B65FB4377A74__no
2021-04-08T22:17:24Corkbc1
15635180192928556736842707644604263143
C0B65FB4377A7419no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 16777216, B2 = 1677721600 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 8388608, B2 = 838860800 (P-1 stage 2)
B1 = 4194304, B2 = 419430400 (P-1 stage 2)
B1 = 16777216 (P-1 stage 1)
B1 = 2097152, B2 = 209715200 (P-1 stage 2)
B1 = 8388608 (P-1 stage 1)
B1 = 1048576, B2 = 104857600 (P-1 stage 2)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
B1 = 4194304 (P-1 stage 1)
B1 = 2097152 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1048576 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-12-22T17:05:15+00:00