is 2 1698943 - 1
has 511433 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-LD76FC59D7304CF88double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26835.083569.1176%100000002000000001.38889.1076%36.472371.9303%2.8127%
PrimeNet2570.011363.1579%80001300000.00102.7310%0.012364.1640%1.0061%
GPU722610.180865.5738%70001000000.00081.3011%0.181666.0217%0.4479%
Difference+7+34.9027+3.5439%+9993000+199900000+1.3880+7.8065%+36.2907+5.9086%+5.9086%

Known prime factors (1 factor, 82.0 bits, 0.00482680% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
169894348510377310647879555010072582.0051427663474014368921
3 × 11 × 43262529515586937
2019-08-111143262529515586937646,521160,847,381300,418,114

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-01-27T22:34:00Jocelyn LaroucheManual testing5000050000---0.003--0.488%
2011-02-07T12:29:00Carsten Kossendeyleela900001485000---0.011--2.074%
2014-03-31T21:13:00Jocelyn LaroucheManual testing100000100000---0.007--0.765%
2014-05-01T10:19:00ANONYMOUSManual testing150000150000---0.010--0.967%
2014-10-01T23:01:00Jocelyn LaroucheManual testing187779187779---0.013--1.093%
2015-01-05T22:25:00Jocelyn LaroucheManual testing281668281668---0.019--1.344%
2015-02-02T07:32:00Jocelyn LaroucheManual testing309834309834---0.021--1.407%
2015-02-11T09:05:00VictordeHollanderManual testing10000000200000000---1.389--9.108%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-07-26T00:00:00ANONYMOUSv4_computers21257--0.011--
2003-02-24T00:00:00ANONYMOUSv4_computers21258--0.023--
2016-02-23T16:28:47Mark RoseManual testing258260--0.068--
2010-04-25T18:20:00Architects Cubedm1_tt260261--0.090--
2016-02-23T16:28:47Mark RoseManual testing261262--0.181--
2010-09-26T01:51:00GrunwalderGIMPManual testing21263--0.939--
2016-02-23T16:28:47Mark RoseManual testing262263--0.578--
2015-01-30T19:14:00VictordeHollanderManual testing263264--1.156--
2015-01-30T19:14:00VictordeHollanderManual testing264265--2.199--
2015-10-11T16:52:37ramgeisManual testing265266--4.398--
2017-09-01T10:33:56TJAOIManual testing266267--8.797--
2019-06-17T12:15:07TJAOIManual testing267268--17.59--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.919 GHz-days
Estimated T-Level:23.411
DigitsB1CurvesCompleteFacMiss
2011000191 / 1001.91014.666%
2550000191 / 2800.68250.492%
3025000015 / 6400.02397.682%

New Calculation Method

Total ECM effort:14.919 GHz-days
Estimated T-Level:23.411
DigitsB1CompleteFacMiss
20110006.9270.098%
25500000.69449.965%
302500000.05195.018%
3510000000.00399.693%


ECM Summary

B1B2factorcurvesGHz-days
50000500000017610.46
25000025000000154.458


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-03-28T21:06:00MadPooManual testingD76FC59D7304CF880.080


PRP results:
dateuseridcompidcofactorsres64PRP
2019-08-11T07:57:10nordinordiputer
4851037731064787955501007
A02C5263E7C1EBE5no
2019-08-11T08:39:10ATHec2-PRPCFDC
4851037731064787955501007
A02C5263E7C1EBE5no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 200000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 309834 (P-1 stage 1)
B1 = 281668 (P-1 stage 1)
B1 = 187779 (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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TF factor-bounds graph:
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Last modified: 2020-03-03T14:19:45+00:00