is 2 1695581 - 1
has 510421 decimal digits
takes 0.080 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L2B313A6D5C3FD209double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26835.153169.1176%100000002000000001.38889.1060%36.541971.9298%2.8122%
PrimeNet2570.011363.1579%80001300000.00102.7299%0.012364.1637%1.0058%
GPU722610.181265.5738%70001000000.00081.3006%0.182066.0215%0.4477%
Difference+7+34.9719+3.5439%+9993000+199900000+1.3880+7.8055%+36.3599+5.9083%+5.9083%

Known prime factors (1 factor, 85.2 bits, 0.00502420% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1695581441103986558866843960689512685.18913007458403900103975
3 × 52 × 13 × 5209 × 2561140905809
2020-01-08520925611409058096,916,8999,522.217,785

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-01-26T00:24:00Jocelyn LaroucheManual testing5000050000---0.003--0.488%
2011-02-07T12:37:00Carsten Kossendeyleela900001485000---0.011--2.073%
2014-03-31T21:13:00Jocelyn LaroucheManual testing100000100000---0.007--0.765%
2014-05-01T10:19:00ANONYMOUSManual testing150000150000---0.010--0.967%
2014-09-30T23:23:00Jocelyn LaroucheManual testing187854187854---0.013--1.092%
2015-01-05T22:25:00Jocelyn LaroucheManual testing281781281781---0.019--1.343%
2015-01-31T14:55:00Jocelyn LaroucheManual testing309959309959---0.021--1.407%
2015-02-08T13:07:00VictordeHollanderManual testing10000000200000000---1.389--9.106%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers21258--0.023--
2016-02-23T16:28:46Mark RoseManual testing258260--0.068--
2010-04-23T13:38:00Architects Cubedm1_tt260261--0.091--
2016-02-23T16:28:46Mark RoseManual testing261262--0.181--
2010-09-26T01:51:00GrunwalderGIMPManual testing21263--0.941--
2016-02-23T16:28:46Mark RoseManual testing262263--0.579--
2015-01-30T19:14:00VictordeHollanderManual testing263264--1.158--
2015-01-30T19:14:00VictordeHollanderManual testing264265--2.204--
2015-10-12T09:32:53ramgeisManual testing265266--4.407--
2017-09-08T12:43:25TJAOIManual testing266267--8.814--
2019-06-24T09:36:10TJAOIManual testing267268--17.63--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.055 GHz-days
Estimated T-Level:24.911
DigitsB1CurvesCompleteFacMiss
2011000275 / 1002.7506.305%
2550000275 / 2800.98237.385%
302500003 / 6400.00599.532%

New Calculation Method

Total ECM effort:17.055 GHz-days
Estimated T-Level:24.911
DigitsB1CompleteFacMiss
20110009.0240.012%
25500000.82943.642%
302500000.05394.863%
3510000000.00399.744%


ECM Summary

B1B2factorcurvesGHz-days
50000500000027216.16
2500002500000030.891


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-11-21T00:00:00slaurv4_computers2B313A6D5C3FD2090.080
2016-06-02T10:52:56MadPooManual testing2B313A6D5C3FD2090.080


PRP results:
dateuseridcompidcofactorsres64PRP
2020-01-08T20:34:11nordinordiputer
44110398655886684396068951
4A1305EB1908B006no
2020-01-09T10:13:07oodairacom1
44110398655886684396068951
4A1305EB1908B006no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 200000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 309959 (P-1 stage 1)
B1 = 281781 (P-1 stage 1)
B1 = 187854 (P-1 stage 1)
B1 = 90000, B2 = 1485000 (P-1 stage 2)
B1 = 150000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
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102
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104
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109
1010
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1013
TF factor-bounds graph:
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265
264
263
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2100
Last modified: 2020-02-10T17:34:19+00:00