is 2 3168031 - 1
has 953673 decimal digits
takes 0.270 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L73A4FABDB488C1EFdouble-checked
PRPB92AF32744F82CC6verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26937.684968.1159%30000001000000001.02247.4343%38.707370.4863%2.3704%
PrimeNet2600.048563.3333%130002400000.00312.6526%0.051664.3060%0.9726%
GPU722641.123565.6250%150002600000.00351.5817%1.127066.1687%0.5437%
Difference+5+36.5613+2.4909%+2985000+99740000+1.0189+5.8526%+37.5803+4.3176%+4.3176%

Known prime factors (1 factor, 70.1 bits, 0.00221339% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
316803112836800163771353882392270.121202599030182649
3 × 26161 × 2581438403
2021-07-24261612581438403123.6117.36032.418

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-14T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.203%
2009-07-03T00:46:00Carsten Kossendeyleela15000191250---0.003--0.666%
2011-09-10T04:07:00Squeeky_SquirrelT7500_220060000960000---0.013--1.649%
2014-06-01T23:28:00Jocelyn LaroucheManual testing8026080260---0.010--0.650%
2014-09-25T21:11:00Jocelyn LaroucheManual testing100520100520---0.012--0.748%
2015-08-20T01:47:00Jocelyn LaroucheManual testing433767433767---0.054--1.607%
2015-11-07T02:57:29Jocelyn LaroucheManual testing551792551792---0.068--1.788%
2015-11-30T10:40:53HBendtzManual testing5000001200000012---0.139--4.272%
2019-08-12T05:04:50mikrMSI300000010000000012---1.022--7.434%
2022-02-22T08:55:03Jocelyn LaroucheManual testing1000000134343300---1.020--6.990%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-02-08T00:00:00ANONYMOUSv4_computers21259--0.024--
2001-07-29T00:00:00ANONYMOUSv4_computers21260--0.048--
2009-04-08T17:58:00S485122USB-Z260261--0.048--
2011-10-29T20:31:00markrManual testing21262--0.194--
2013-01-03T08:45:00dbaughManual testing262263--0.310--
2015-02-11T09:10:00VictordeHollanderManual testing263264--0.620--
2015-02-11T09:10:00VictordeHollanderManual testing264265--1.179--
2015-06-17T10:00:00ThaManual testing265266--2.359--
2017-04-23T17:24:20Gordon SpenceManual testing266267--4.718--
2019-01-14T11:03:52TJAOIManual testing267268--9.435--
2021-04-19T10:24:41TJAOIManual testing268269--18.87--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.709 GHz-days
Estimated T-Level:3.100
DigitsB1CurvesCompleteFacMiss
201100062 / 1000.62053.627%
255000062 / 2800.22180.106%

New Calculation Method

Total ECM effort:7.709 GHz-days
Estimated T-Level:3.100
DigitsB1CompleteFacMiss
20110002.4568.575%
25500000.22879.642%
302500000.01498.569%


ECM Summary

B1B2factorcurvesGHz-days
500005000000364.221
50000635000070.919
50000665000050.672
500006750000141.897


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-19T00:00:00ANONYMOUSv4_computers73A4FABDB488C1EF0.270
1999-06-06T00:00:00vidmarv4_computers73A4FABDB488C1EF0.270


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-26T09:35:25kutenscanopus
1283680016377135388239
B92AF32744F82CC6no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000, B2 = 134343300 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 500000, B2 = 12000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 551792 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 433767 (P-1 stage 1)
B1 = 60000, B2 = 960000 (P-1 stage 2)
B1 = 100520 (P-1 stage 1)
B1 = 80260 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
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104
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106
107
102
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104
105
106
107
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109
1010
TF factor-bounds graph:
269
268
267
266
265
264
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261
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2100
Last modified: 2022-02-22T08:55:03+00:00