is 2 1716529 - 1
has 516727 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-LE505729E3E7E02D2double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26834.724169.1176%36422001234567890.69407.9591%35.418171.5756%2.4580%
PrimeNet2570.011263.1579%80001400000.00102.7922%0.012264.1866%1.0287%
GPU722610.179065.5738%70001100000.00091.3431%0.179866.0361%0.4624%
Difference+7+34.5451+3.5439%+3635200+123346789+0.6931+6.6160%+35.2383+5.5395%+5.5395%

Known prime factors (1 factor, 81.9 bits, 0.00476890% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
171652943873540749979983690447372581.8601277972604889867392
27 × 3 × 11 × 302550332597033
2020-03-17128302550332597033497,2451,124,8632,100,931

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-11T06:19:00Carsten Kossendeyleela900001507500---0.011--2.085%
2014-04-01T22:36:00Jocelyn LaroucheManual testing100000100000---0.007--0.767%
2014-05-03T14:50:00Jocelyn LaroucheManual testing150000150000---0.010--0.969%
2014-10-05T22:25:00Jocelyn LaroucheManual testing187392187392---0.013--1.093%
2015-01-09T22:25:00Jocelyn LaroucheManual testing281088281088---0.019--1.344%
2015-02-03T07:46:00Jocelyn LaroucheManual testing309196309196---0.021--1.408%
2015-02-16T20:56:00Jocelyn LaroucheManual testing340115340115---0.023--1.474%
2015-02-20T16:56:00Jocelyn LaroucheManual testing374126374126---0.026--1.541%
2015-02-22T09:50:00Jocelyn LaroucheManual testing411538411538---0.028--1.610%
2015-03-06T12:09:00Jocelyn LaroucheManual testing452691452691---0.031--1.681%
2015-03-14T11:30:00Jocelyn LaroucheManual testing497960497960---0.034--1.753%
2015-04-08T16:59:00Jocelyn LaroucheManual testing602531602531---0.041--1.904%
2015-05-01T17:20:00Jocelyn LaroucheManual testing729062729062---0.050--2.062%
2015-05-07T16:18:00Jocelyn LaroucheManual testing801968801968---0.055--2.143%
2015-05-22T00:28:00Jocelyn LaroucheManual testing882164882164---0.060--2.226%
2015-05-26T18:16:00Jocelyn LaroucheManual testing970380970380---0.066--2.312%
2015-06-08T13:43:00Jocelyn LaroucheManual testing10674181067418---0.073--2.398%
2015-06-25T21:15:00Jocelyn LaroucheManual testing11741591174159---0.080--2.487%
2015-07-07T18:13:00Jocelyn LaroucheManual testing12915741291574---0.088--2.577%
2015-07-13T12:24:00Jocelyn LaroucheManual testing14207311420731---0.097--2.670%
2015-07-24T22:03:00Jocelyn LaroucheManual testing15628041562804---0.107--2.764%
2015-08-08T10:54:00mikrMSI3642200123456789---0.694--7.959%
2018-08-21T11:49:45Jocelyn Larouchelow 4M171652917165290012---0.749--7.836%
2018-10-16T21:51:22Jocelyn Larouchelow 4M171652918881819012---0.813--7.943%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-02-02T00:00:00ANONYMOUSv4_computers21258--0.022--
2016-02-23T16:28:48Mark RoseManual testing258260--0.067--
2010-04-22T12:45:00Architects Cubeda3_bu2260261--0.089--
2016-02-23T16:28:48Mark RoseManual testing261262--0.179--
2010-10-27T20:37:00GrunwalderGIMPManual testing21263--0.930--
2016-02-23T16:28:48Mark RoseManual testing262263--0.572--
2015-05-02T03:49:00snme2pm1Manual testing263264--1.144--
2015-05-02T03:49:00snme2pm1Manual testing264265--2.177--
2015-09-01T08:49:00ramgeisManual testing265266--4.353--
2018-05-28T14:40:35TJAOIManual testing266267--8.707--
2019-06-17T12:15:06TJAOIManual testing267268--17.41--


ECM factoring results:

Old Calculation Method

Total ECM effort:16.363 GHz-days
Estimated T-Level:24.911
DigitsB1CurvesCompleteFacMiss
2011000275 / 1002.7506.305%
2550000275 / 2800.98237.385%

New Calculation Method

Total ECM effort:16.363 GHz-days
Estimated T-Level:24.911
DigitsB1CompleteFacMiss
20110008.8710.014%
25500000.80244.854%
302500000.04995.183%
3510000000.00299.774%


ECM Summary

B1B2factorcurvesGHz-days
50000500000027216.18
50000500000030.179


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-11-28T00:00:00ANONYMOUSv4_computersE505729E3E7E02D20.081
2015-07-19T18:02:00MadPooManual testingE505729E3E7E02D20.081


PRP results:
dateuseridcompidcofactorsres64PRP
2020-03-18T06:23:48Jinyuan WangManual testing
4387354074997998369044737
5401276A31F0A76Cno
2020-03-19T14:43:24oodairacom1
4387354074997998369044737
5401276A31F0A76Cno


P-1 factor-bounds graph:
B1 = 1716529, B2 = 188818190 (P-1 stage 2)
B1 = 1716529, B2 = 171652900 (P-1 stage 2)
B1 = 3642200, B2 = 123456789 (P-1 stage 2)
B1 = 3642200 (P-1 stage 1)
B1 = 1716529 (P-1 stage 1)
B1 = 1562804 (P-1 stage 1)
B1 = 1420731 (P-1 stage 1)
B1 = 1291574 (P-1 stage 1)
B1 = 1174159 (P-1 stage 1)
B1 = 1067418 (P-1 stage 1)
B1 = 970380 (P-1 stage 1)
B1 = 882164 (P-1 stage 1)
B1 = 801968 (P-1 stage 1)
B1 = 729062 (P-1 stage 1)
B1 = 602531 (P-1 stage 1)
B1 = 497960 (P-1 stage 1)
B1 = 452691 (P-1 stage 1)
B1 = 411538 (P-1 stage 1)
B1 = 374126 (P-1 stage 1)
B1 = 340115 (P-1 stage 1)
B1 = 309196 (P-1 stage 1)
B1 = 281088 (P-1 stage 1)
B1 = 187392 (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: 2020-04-20T10:38:51+00:00