is 2 1782329 - 1
has 536535 decimal digits
takes 0.097 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L698BEB5029A98E9Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26833.442169.1176%17823291960561900.97288.0453%34.414971.6022%2.4846%
PrimeNet2570.010863.1579%80001400000.00122.8122%0.012064.1940%1.0361%
GPU722610.172365.5738%80001300000.00121.4921%0.173566.0874%0.5137%
Difference+7+33.2698+3.5439%+1774329+195926190+0.9717+6.5532%+34.2414+5.5148%+5.5148%

Known prime factors (1 factor, 70.1 bits, 0.00393077% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
178232912301051519746514700872270.059345083638311067
1238291 × 278677337
2020-05-111238291278677337249.271.28642.2307

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-10T06:35:00Carsten Kossendeyleela950001615000---0.014--2.158%
2014-04-10T20:52:00ANONYMOUSManual testing100000100000---0.008--0.772%
2014-05-09T20:32:00Jocelyn LaroucheManual testing136011136011---0.011--0.924%
2014-09-19T20:39:00Jocelyn LaroucheManual testing172022172022---0.014--1.051%
2015-05-30T06:10:00mikrMSI247540086660000---0.556--7.333%
2018-07-02T12:39:36Jocelyn Larouchelow 4M178232917823290012---0.896--7.937%
2018-10-19T12:14:54Jocelyn Larouchelow 4M178232919605619012---0.973--8.045%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-25T00:00:00ANONYMOUSv4_computers21258--0.022--
2016-02-23T16:28:51Mark RoseManual testing258260--0.065--
2010-04-20T13:12:00Architects Cubedm1_76l260261--0.086--
2016-02-23T16:28:51Mark RoseManual testing261262--0.172--
2010-10-16T22:16:00GrunwalderGIMPManual testing21263--0.895--
2016-02-23T16:28:51Mark RoseManual testing262263--0.551--
2015-05-14T12:16:00snme2pm1Manual testing263264--1.102--
2015-05-14T12:16:00snme2pm1Manual testing264265--2.096--
2015-09-12T12:52:00ramgeisManual testing265266--4.193--
2018-02-05T16:30:34TJAOIManual testing266267--8.385--
2019-08-06T10:06:01TJAOIManual testing267268--16.77--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.286 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:17.286 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.0970.030%
25500000.73248.105%
302500000.04595.594%
3510000000.00299.794%


ECM Summary

B1B2factorcurvesGHz-days
50000500000024917.15
50000500000020.138


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-06T00:00:00ANONYMOUSv4_computers698BEB5029A98E9F0.097
2015-07-18T18:31:00MadPooManual testing698BEB5029A98E9F0.097


PRP results:
dateuseridcompidcofactorsres64PRP
2020-05-11T07:35:47Christoph ZengerManual testing
1230105151974651470087
275E7E24E1A0A57Ano
2020-05-13T13:36:31ANONYMOUSobFIV_MkQmyMzMWzFMY2
1230105151974651470087
275E7E24E1A0A57Ano


P-1 factor-bounds graph:
B1 = 1782329, B2 = 196056190 (P-1 stage 2)
B1 = 1782329, B2 = 178232900 (P-1 stage 2)
B1 = 2475400, B2 = 86660000 (P-1 stage 2)
B1 = 2475400 (P-1 stage 1)
B1 = 1782329 (P-1 stage 1)
B1 = 95000, B2 = 1615000 (P-1 stage 2)
B1 = 172022 (P-1 stage 1)
B1 = 136011 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 95000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-11-20T10:37:16+00:00