is 2 8000357 - 1
has 2408348 decimal digits
takes 2.089 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L657D251CE7AD0F1Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27029.867567.1429%240000024000000.90873.1883%30.776268.1904%1.0476%
PrimeNet2630.199563.4921%340009000000.03073.5661%0.230264.7940%1.3019%
GPU722673.714165.6716%5500012000000.04442.5668%3.758566.5528%0.8812%
Difference+3+26.1534+1.4712%+2345000+1200000+0.8642+0.6214%+27.0176+1.6376%+1.6376%

Known prime factors (1 factor, 94.0 bits, 0.00117464% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8000357194711692012682965838778023692993.9751216893771194728971712
26 × 67 × 457 × 4967 × 205307 × 608953
2018-02-10205307608953488,005,4740.08610.1582

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2012-04-07T21:20:00Squeeky_SquirrelT7500_22001000001950000---0.076--2.265%
2018-02-10T11:15:58mikrY12240000024000002993.9750.9094.1781.8173.188%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-08-16T00:00:00ANONYMOUSv4_computers21261--0.038--
1998-08-16T00:00:00ANONYMOUSv4_computers21263--0.199--
2013-07-24T15:40:00c10ck3rManual testing263264--0.245--
2013-09-01T01:11:00David CampeauManual testing264265--0.467--
2015-04-20T23:58:00snme2pm1Manual testing265266--0.934--
2015-11-13T03:49:04snme2pm1Manual testing266267--1.868--
2016-11-04T17:56:49ConductorManual testing267268--3.736--
2017-05-12T06:53:09YxinityManual testing268269--7.472--
2017-05-12T06:53:09YxinityManual testing269270--14.94--


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)
1999-11-17T00:00:00Roger_huntv4_computers657D251CE7AD0F1D2.089
2015-09-18T07:16:00Vteammicael657D251CE7AD0F1D2.089


PRP results:
dateuseridcompidcofactorsres64PRP
2018-07-04T08:27:43Dt12Core_i5-8250U
19471169201268296583877802369
49FA72B35DB05D__no
2019-06-21T18:06:47timbitManual testing
19471169201268296583877802369
49FA72B35DB05D89no


P-1 factor-bounds graph:
B1 = 2400000 (P-1 stage 1)
B1 = 100000, B2 = 1950000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
104
105
106
107
104
105
106
107
TF factor-bounds graph:
270
269
268
267
266
265
264
263
261
250
260
270
280
290
2100
Last modified: 2019-06-21T18:06:47+00:00