is 2 1714003 - 1
has 515967 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-LB71F1DFF8436D1DDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26717.336068.6567%17140031885403300.81168.6198%18.147671.3584%2.7017%
PrimeNet2570.011263.1579%80001400000.00102.7915%0.012264.1863%1.0284%
GPU722610.179265.5738%70001100000.00091.3427%0.180166.0360%0.4622%
Difference+6+17.1568+3.0829%+1707003+188430330+0.8107+7.2771%+17.9675+5.3224%+5.3224%

Known prime factors (1 factor, 95.7 bits, 0.00558255% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1714003636904250549722278774481333192995.68518579438033355900741553
317 × 2760559 × 21231284901451
2019-05-042760559212312849014518.322e+978,937147,432

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-01-29T18:46:00Jocelyn LaroucheManual testing5000050000---0.003--0.572%
2011-02-07T12:32:00Carsten 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 testing187447187447---0.013--1.248%
2015-01-09T22:25:00Jocelyn LaroucheManual testing281170281170---0.019--1.525%
2015-02-03T07:46:00Jocelyn LaroucheManual testing309287309287---0.021--1.595%
2015-02-16T20:56:00Jocelyn LaroucheManual testing340215340215---0.023--1.666%
2015-02-21T13:42:00Jocelyn LaroucheManual testing374236374236---0.026--1.740%
2015-03-01T03:15:00Jocelyn LaroucheManual testing411659411659---0.028--1.816%
2015-03-05T14:27:00Jocelyn LaroucheManual testing452824452824---0.031--1.893%
2015-03-14T11:30:00Jocelyn LaroucheManual testing498106498106---0.034--1.972%
2015-04-08T16:59:00Jocelyn LaroucheManual testing602707602707---0.041--2.136%
2015-05-01T17:20:00Jocelyn LaroucheManual testing729274729274---0.050--2.308%
2015-05-07T16:18:00Jocelyn LaroucheManual testing802201802201---0.055--2.396%
2015-05-22T00:28:00Jocelyn LaroucheManual testing882421882421---0.060--2.487%
2015-05-26T18:16:00Jocelyn LaroucheManual testing970663970663---0.066--2.579%
2015-06-08T13:43:00Jocelyn LaroucheManual testing10677291067729---0.073--2.673%
2015-06-25T21:15:00Jocelyn LaroucheManual testing11745011174501---0.080--2.769%
2015-07-07T18:13:00Jocelyn LaroucheManual testing12919511291951---0.088--2.866%
2015-07-13T12:24:00Jocelyn LaroucheManual testing14211461421146---0.097--2.966%
2015-07-27T01:26:00Jocelyn LaroucheManual testing15632601563260---0.107--3.067%
2015-08-02T16:20:00mikrMSI3642200123456789---0.694--8.618%
2018-08-21T11:49:45Jocelyn Larouchelow 4M171400317140030012---0.748--8.506%
2018-10-16T21:51:21Jocelyn Larouchelow 4M171400318854033012---0.812--8.620%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-02-02T00:00:00ANONYMOUSv4_computers21258--0.022--
2016-02-23T16:28:48Mark RoseManual testing258260--0.067--
2010-04-24T12:42:00Architects 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--
2015-04-29T02:57:00snme2pm1Manual testing263264--1.145--
2015-04-29T02:57:00snme2pm1Manual testing264265--2.180--
2015-09-01T08:49:00ramgeisManual testing265266--4.360--
2018-06-11T13:42:36TJAOIManual testing266267--8.720--


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
50000500000021712.91
500005000000342.023


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-21T00:00:00ANONYMOUSv4_computersB71F1DFF8436D1DD0.081
2015-06-27T00:54:00MadPooManual testingB71F1DFF8436D1DD0.081


PRP results:
dateuseridcompidcofactorsres64PRP
2019-05-04T15:55:52ATHec2-PRPCF
63690425054972227877448133319
9599F39FE3CDB362no
2019-05-08T01:30:24Luigi MorelliCS50X-C9
63690425054972227877448133319
9599F39FE3CDB362no


P-1 factor-bounds graph:
B1 = 1714003, B2 = 188540330 (P-1 stage 2)
B1 = 1714003, B2 = 171400300 (P-1 stage 2)
B1 = 3642200, B2 = 123456789 (P-1 stage 2)
B1 = 3642200 (P-1 stage 1)
B1 = 1714003 (P-1 stage 1)
B1 = 1563260 (P-1 stage 1)
B1 = 1421146 (P-1 stage 1)
B1 = 1291951 (P-1 stage 1)
B1 = 1174501 (P-1 stage 1)
B1 = 1067729 (P-1 stage 1)
B1 = 970663 (P-1 stage 1)
B1 = 882421 (P-1 stage 1)
B1 = 802201 (P-1 stage 1)
B1 = 729274 (P-1 stage 1)
B1 = 602707 (P-1 stage 1)
B1 = 498106 (P-1 stage 1)
B1 = 452824 (P-1 stage 1)
B1 = 411659 (P-1 stage 1)
B1 = 374236 (P-1 stage 1)
B1 = 340215 (P-1 stage 1)
B1 = 309287 (P-1 stage 1)
B1 = 281170 (P-1 stage 1)
B1 = 187447 (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)
B1 = 50000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-03-23T10:26:52+00:00