is 2 8699063 - 1
has 2618679 decimal digits
takes 2.271 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L5CBED1103F4CE7F2double-checked
PRP0C369AB6ABFEA42Everified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual273219.890867.1233%10000018750000.07451.5746%219.965367.6410%0.5177%
PrimeNet2640.409262.5000%3600010000000.03353.3089%0.442763.7408%1.2408%
GPU722686.851964.7059%5500012000000.04442.2969%6.896365.5166%0.8107%
Difference+5+213.0390+2.4174%+45000+675000+0.0300-0.7223%+213.0690+2.1244%+2.1244%

Known prime factors (1 factor, 74.6 bits, 0.00085729% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8699063281684813047390637965932374.5761619052609731592
23 × 3 × 7 × 167 × 18133 × 3182479
2021-12-07181333182479743.680.07210.1226

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-12-02T00:00:00Team Prime Ribv4_computers50000850000---0.035--1.060%
2012-01-17T14:11:00bcp19Manual testing1000001875000---0.074--1.575%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-12-07T16:40:22masserManual testing375000900000027P-12374.5760.390


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-17T00:00:00ANONYMOUSv4_computers21261--0.035--
1999-01-17T00:00:00ANONYMOUSv4_computers21262--0.071--
1999-02-07T00:00:00ANONYMOUSv4_computers21263--0.183--
2004-05-11T00:00:00Sturle Sundev4_computers21264--0.409--
2014-01-23T12:00:00lycornManual testing264265--0.430--
2015-05-26T22:23:00VictordeHollanderManual testing265266--0.859--
2016-02-08T21:54:20snme2pm1Manual testing266267--1.718--
2018-04-24T19:00:11monstManual testing267268--3.436--
2020-02-28T11:42:08TJAOIManual testing268269--6.872--
2021-08-20T17:07:22SRBaseManual testing269270--13.74--
2021-08-28T13:06:22SRBaseManual testing270271--27.49--
2021-10-11T16:34:00SRBaseManual testing271272--54.98--
2021-12-11T16:31:44masserManual testing272273--110.0--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.191 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:1.191 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.09790.776%
25500000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.191


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-08-31T00:00:00ANONYMOUSv4_computers5CBED1103F4CE7F22.271
2002-12-09T00:00:00Team Prime Ribv4_computers5CBED1103F4CE7F22.271


PRP results:
dateuseridcompidcofactorsres64PRP
2021-12-12T20:36:08ATHec2-PRPCF
28168481304739063796593
0C369AB6ABFEA42Eno


P-1 factor-bounds graph:
B1 = 375000, B2 = 9000000 (P-1 stage 2)
B1 = 375000 (P-1 stage 1)
B1 = 100000, B2 = 1875000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 50000, B2 = 850000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
103
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105
106
103
104
105
106
107
TF factor-bounds graph:
273
272
271
270
269
268
267
266
265
264
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250
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2100
Last modified: 2021-12-12T20:36:08+00:00