is 2 1716667 - 1
has 516769 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-LCD86DCD7280938D5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26834.721369.1176%36422001234567890.69407.9591%35.415371.5756%2.4580%
PrimeNet2570.011263.1579%80001400000.00102.7923%0.012264.1866%1.0287%
GPU722610.178965.5738%70001100000.00091.3431%0.179866.0362%0.4624%
Difference+7+34.5423+3.5439%+3635200+123346789+0.6931+6.6160%+35.2355+5.5395%+5.5395%

Known prime factors (1 factor, 72.3 bits, 0.00421206% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
171666758424783942918642505372272.3071701692405775804
22 × 3 × 13 × 269 × 40551244061
2020-04-08269405512440611,037.6150.77281.59

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-09T06:19:00Carsten 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 testing187389187389---0.013--1.093%
2015-01-09T22:25:00Jocelyn LaroucheManual testing281083281083---0.019--1.344%
2015-02-03T07:46:00Jocelyn LaroucheManual testing309191309191---0.021--1.408%
2015-02-16T20:56:00Jocelyn LaroucheManual testing374121374121---0.026--1.541%
2015-02-22T09:50:00Jocelyn LaroucheManual testing411533411533---0.028--1.610%
2015-03-06T12:09:00Jocelyn LaroucheManual testing452686452686---0.031--1.681%
2015-03-14T11:30:00Jocelyn LaroucheManual testing497954497954---0.034--1.753%
2015-04-08T16:59:00Jocelyn LaroucheManual testing602523602523---0.041--1.904%
2015-05-01T17:20:00Jocelyn LaroucheManual testing729052729052---0.050--2.062%
2015-05-07T16:18:00Jocelyn LaroucheManual testing801957801957---0.055--2.143%
2015-05-22T00:28:00Jocelyn LaroucheManual testing882152882152---0.060--2.226%
2015-05-26T18:16:00Jocelyn LaroucheManual testing970367970367---0.066--2.312%
2015-06-08T13:43:00Jocelyn LaroucheManual testing10674031067403---0.073--2.398%
2015-06-25T21:15:00Jocelyn LaroucheManual testing11741431174143---0.080--2.487%
2015-07-07T18:13:00Jocelyn LaroucheManual testing12915571291557---0.088--2.578%
2015-07-13T12:24:00Jocelyn LaroucheManual testing14207121420712---0.097--2.670%
2015-07-24T22:03:00Jocelyn LaroucheManual testing15627831562783---0.107--2.764%
2015-08-08T18:11:00mikrMSI3642200123456789---0.694--7.959%
2018-08-21T11:49:45Jocelyn Larouchelow 4M171666717166670012---0.749--7.836%
2018-10-16T21:51:22Jocelyn Larouchelow 4M171666718883337012---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--
2015-05-02T07:36:00snme2pm1Manual testing263264--1.144--
2015-05-02T07:36:00snme2pm1Manual testing264265--2.177--
2015-09-01T08:49:00ramgeisManual testing265266--4.353--
2018-05-28T14:40:35TJAOIManual testing266267--8.706--
2019-06-17T12:15:06TJAOIManual testing267268--17.41--


ECM factoring results:

Old Calculation Method

Total ECM effort:16.125 GHz-days
Estimated T-Level:24.839
DigitsB1CurvesCompleteFacMiss
2011000271 / 1002.7106.564%
2550000271 / 2800.96837.924%

New Calculation Method

Total ECM effort:16.125 GHz-days
Estimated T-Level:24.839
DigitsB1CompleteFacMiss
20110008.7420.016%
25500000.79045.381%
302500000.04995.251%
3510000000.00299.777%


ECM Summary

B1B2factorcurvesGHz-days
50000500000026916.01
50000500000020.119


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-13T00:00:00ANONYMOUSv4_computersCD86DCD7280938D50.081
2015-06-27T00:56:00MadPooManual testingCD86DCD7280938D50.081


PRP results:
dateuseridcompidcofactorsres64PRP
2020-04-09T01:05:31CrypticCluecruncher
5842478394291864250537
7493C744CA6DF219no
2020-04-10T14:57:23Ivan MLAB
5842478394291864250537
7493C744CA6DF219no


P-1 factor-bounds graph:
B1 = 1716667, B2 = 188833370 (P-1 stage 2)
B1 = 1716667, B2 = 171666700 (P-1 stage 2)
B1 = 3642200, B2 = 123456789 (P-1 stage 2)
B1 = 3642200 (P-1 stage 1)
B1 = 1716667 (P-1 stage 1)
B1 = 1562783 (P-1 stage 1)
B1 = 1420712 (P-1 stage 1)
B1 = 1291557 (P-1 stage 1)
B1 = 1174143 (P-1 stage 1)
B1 = 1067403 (P-1 stage 1)
B1 = 970367 (P-1 stage 1)
B1 = 882152 (P-1 stage 1)
B1 = 801957 (P-1 stage 1)
B1 = 729052 (P-1 stage 1)
B1 = 602523 (P-1 stage 1)
B1 = 497954 (P-1 stage 1)
B1 = 452686 (P-1 stage 1)
B1 = 411533 (P-1 stage 1)
B1 = 374121 (P-1 stage 1)
B1 = 309191 (P-1 stage 1)
B1 = 281083 (P-1 stage 1)
B1 = 187389 (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: 2020-05-04T10:43:21+00:00