is 2 1713403 - 1
has 515786 decimal digits
takes 0.081 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L670739961CF431B5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26717.342068.6567%17134031884743300.81138.6188%18.153371.3581%2.7014%
PrimeNet2570.011263.1579%80001400000.00102.7913%0.012264.1863%1.0284%
GPU722610.179365.5738%70001100000.00091.3426%0.180166.0360%0.4622%
Difference+6+17.1628+3.0829%+1706403+188364330+0.8104+7.2762%+17.9732+5.3222%+5.3222%

Known prime factors (1 factor, 78.8 bits, 0.00460013% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
17134035330828965630082267488392478.819155562613279832073
3 × 7 × 165931 × 44643517423
2019-04-281659314464351742370,319165.99310.01

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-07T12:42:00Carsten Kossendeyleela900001507500---0.011--2.355%
2014-04-01T22:35:00Jocelyn LaroucheManual testing100000100000---0.007--0.884%
2014-05-03T00:50:00Jocelyn LaroucheManual testing150000150000---0.010--1.110%
2014-10-05T22:25:00Jocelyn LaroucheManual testing187460187460---0.013--1.248%
2015-01-09T22:25:00Jocelyn LaroucheManual testing281190281190---0.019--1.525%
2015-02-03T07:46:00Jocelyn LaroucheManual testing309309309309---0.021--1.595%
2015-02-16T20:56:00Jocelyn LaroucheManual testing340239340239---0.023--1.666%
2015-02-21T13:42:00Jocelyn LaroucheManual testing374262374262---0.026--1.740%
2015-03-01T03:15:00Jocelyn LaroucheManual testing411688411688---0.028--1.816%
2015-03-05T14:27:00Jocelyn LaroucheManual testing452856452856---0.031--1.893%
2015-03-14T11:30:00Jocelyn LaroucheManual testing498141498141---0.034--1.972%
2015-04-08T16:59:00Jocelyn LaroucheManual testing602750602750---0.041--2.136%
2015-05-01T17:20:00Jocelyn LaroucheManual testing729327729327---0.050--2.308%
2015-05-07T16:18:00Jocelyn LaroucheManual testing802259802259---0.055--2.396%
2015-05-22T00:28:00Jocelyn LaroucheManual testing882484882484---0.060--2.487%
2015-05-26T18:16:00Jocelyn LaroucheManual testing970732970732---0.066--2.579%
2015-06-08T13:43:00Jocelyn LaroucheManual testing10678051067805---0.073--2.673%
2015-06-25T21:15:00Jocelyn LaroucheManual testing11745851174585---0.080--2.769%
2015-07-07T18:13:00Jocelyn LaroucheManual testing12920431292043---0.088--2.866%
2015-07-13T12:24:00Jocelyn LaroucheManual testing14212471421247---0.097--2.966%
2015-07-24T22:03:00Jocelyn LaroucheManual testing15633711563371---0.107--3.067%
2015-08-01T05:33:00mikrMSI3642200123456789---0.694--8.618%
2018-08-21T11:49:44Jocelyn Larouchelow 4M171340317134030012---0.748--8.505%
2018-10-16T21:51:21Jocelyn Larouchelow 4M171340318847433012---0.811--8.619%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-02-02T00:00:00ANONYMOUSv4_computers21258--0.022--
2016-02-23T16:28:48Mark RoseManual testing258260--0.067--
2010-04-23T13:38:00Architects Cubeda3_bu2260261--0.090--
2016-02-23T16:28:48Mark RoseManual testing261262--0.179--
2010-10-16T22:16:00GrunwalderGIMPManual testing21263--0.931--
2016-02-23T16:28:48Mark RoseManual testing262263--0.573--
2015-04-28T21:21:00snme2pm1Manual testing263264--1.146--
2015-04-28T21:21:00snme2pm1Manual testing264265--2.181--
2015-09-01T08:49:00ramgeisManual testing265266--4.361--
2018-06-11T13:42:37TJAOIManual testing266267--8.723--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.932 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:14.932 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.0970.030%
25500000.73248.105%
302500000.04595.594%
3510000000.00299.794%


ECM Summary

B1B2factorcurvesGHz-days
50000500000023213.80
500005000000191.130


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-11-21T00:00:00ANONYMOUSv4_computers670739961CF431B50.081
2015-06-28T05:06:00MadPooManual testing670739961CF431B50.081


PRP results:
dateuseridcompidcofactorsres64PRP
2019-05-05T06:49:34-Anonymous-
533082896563008226748839
AA68A1DBF2D75F54no
2019-05-06T06:22:19kkmrkkblmbrbkc5.large
533082896563008226748839
AA68A1DBF2D75F54no


P-1 factor-bounds graph:
B1 = 1713403, B2 = 188474330 (P-1 stage 2)
B1 = 1713403, B2 = 171340300 (P-1 stage 2)
B1 = 3642200, B2 = 123456789 (P-1 stage 2)
B1 = 3642200 (P-1 stage 1)
B1 = 1713403 (P-1 stage 1)
B1 = 1563371 (P-1 stage 1)
B1 = 1421247 (P-1 stage 1)
B1 = 1292043 (P-1 stage 1)
B1 = 1174585 (P-1 stage 1)
B1 = 1067805 (P-1 stage 1)
B1 = 970732 (P-1 stage 1)
B1 = 882484 (P-1 stage 1)
B1 = 802259 (P-1 stage 1)
B1 = 729327 (P-1 stage 1)
B1 = 602750 (P-1 stage 1)
B1 = 498141 (P-1 stage 1)
B1 = 452856 (P-1 stage 1)
B1 = 411688 (P-1 stage 1)
B1 = 374262 (P-1 stage 1)
B1 = 340239 (P-1 stage 1)
B1 = 309309 (P-1 stage 1)
B1 = 281190 (P-1 stage 1)
B1 = 187460 (P-1 stage 1)
B1 = 90000, B2 = 1507500 (P-1 stage 2)
B1 = 150000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-04-13T10:22:19+00:00