is 2 4034971 - 1
has 1214648 decimal digits
takes 0.503 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-LB027FDAF2018B063double-checked
PRP087C29C844B31322

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27059.219968.5714%360000183600000.24254.1308%59.462469.8697%1.2983%
PrimeNet2610.076163.9344%160003200000.00592.7321%0.082064.9198%0.9854%
GPU722651.808166.1538%220003600000.00731.7519%1.815466.7468%0.5930%
Difference+5+57.4118+2.4176%+338000+18000000+0.2352+2.3789%+57.6469+3.1229%+3.1229%

Known prime factors (1 factor, 94.8 bits, 0.00235064% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4034971356464829860184908839745142412994.8484417191968172570618720
25 × 3 × 5 × 13 × 18119 × 1333411 × 29299717
2021-06-131333411292997171.524e+90.51670.5392

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-14T21:29:00Carsten Kossendeydurandal20000290000---0.006--0.762%
2011-06-26T18:56:00harleeP4_260040000580000---0.013--1.174%
2012-09-21T20:00:00Squeeky_SquirrelP4_26002600006305000---0.107--3.178%
2021-04-06T07:01:12Dylan Delgadolaptop-i7875036000018360000---0.242--4.131%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-06-13T14:22:14ATH5960X250000017250000027P-12994.8482.053


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-04T00:00:00ANONYMOUSv4_computers?261--0.038--
2009-11-17T23:03:00GrunwalderGIMPManual testing21263--0.396--
2016-02-23T16:29:46Mark RoseManual testing261263--0.319--
2013-08-08T21:22:00JayderManual testing263264--0.487--
2013-10-14T00:40:00David CampeauManual testing264265--0.926--
2015-05-20T00:40:00snme2pm1Manual testing265266--1.852--
2016-09-07T17:30:08kkmrkkblmbrbkManual testing266267--3.704--
2018-10-18T10:28:25YxinityManual testing267268--7.408--
2020-03-07T17:50:39mikrManual testing268269--14.82--
2020-03-07T17:50:40mikrManual testing269270--29.63--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.163 GHz-days
Estimated T-Level:0.600
DigitsB1CurvesCompleteFacMiss
201100012 / 1000.12088.638%
255000012 / 2800.04395.797%

New Calculation Method

Total ECM effort:2.163 GHz-days
Estimated T-Level:0.600
DigitsB1CompleteFacMiss
20110000.38767.903%
25500000.03596.562%
302500000.00299.785%


ECM Summary

B1B2factorcurvesGHz-days
500005000000122.163


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-10-15T00:00:00ANONYMOUSv4_computers76CAA7C710A71D__0.503
2000-01-04T00:00:00ANONYMOUSv4_computersB027FDAF2018B0630.503


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-14T07:56:08tottenhoff2018pc
35646482986018490883974514241
087C29C844B31322no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 172500000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 360000, B2 = 18360000 (P-1 stage 2)
B1 = 260000, B2 = 6305000 (P-1 stage 2)
B1 = 360000 (P-1 stage 1)
B1 = 260000 (P-1 stage 1)
B1 = 40000, B2 = 580000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
B1 = 20000, B2 = 290000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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267
266
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261
250
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270
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2100
Last modified: 2021-06-14T07:56:08+00:00