is 2 4032491 - 1
has 1213901 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-L768B6B7ADA274440double-checked
PRP35708AFF18BB82A8

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27059.256368.5714%360000183600000.24254.1305%59.498869.8696%1.2982%
PrimeNet2610.076263.9344%160003200000.00592.7318%0.082164.9197%0.9853%
GPU722651.809266.1538%220003600000.00731.7517%1.816566.7467%0.5929%
Difference+5+57.4471+2.4176%+338000+18000000+0.2352+2.3788%+57.6823+3.1228%+3.1228%

Known prime factors (1 factor, 72.6 bits, 0.00180025% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
403249171318311623296733634012272.595884295980118700
22 × 52 × 463157 × 19092791
2021-06-1446315719092791414.800.26730.3514

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-14T21:28:00Carsten Kossendeydurandal20000290000---0.006--0.762%
2011-06-26T07:46:00harleeP4_260040000580000---0.013--1.174%
2012-09-18T02:41:00Squeeky_SquirrelP4_26002600006305000---0.107--3.178%
2021-04-05T20:22:55Dylan Delgadolaptop-i7875036000018360000---0.242--4.131%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-06-14T00:56:31ATH5960X250000017250000027P+1P-12272.5952.053


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-06-29T00:00:00PhillTv4_computers?261--0.038--
2009-11-16T02:20:00GrunwalderGIMPManual testing21263--0.396--
2016-02-23T16:29:46Mark RoseManual testing261263--0.320--
2013-08-08T09:11:00JayderManual testing263264--0.487--
2013-10-21T09:49:00David CampeauManual testing264265--0.927--
2015-05-19T21:13:00snme2pm1Manual testing265266--1.853--
2016-09-07T01:19:02kkmrkkblmbrbkManual testing266267--3.706--
2018-10-18T10:28:24YxinityManual testing267268--7.413--
2020-02-10T19:50:19mikrManual testing268269--14.83--
2020-02-10T19:50:19mikrManual testing269270--29.65--


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)
1998-08-24T00:00:00PhillTv4_computers768B6B7ADA2744400.503
1999-09-14T00:00:00ANONYMOUSv4_computers768B6B7ADA2744400.503
2001-03-17T00:00:00ANONYMOUSv4_computers768B6B7ADA2744400.503


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-15T03:33:36kutensrigel
7131831162329673363401
35708AFF18BB82A8no


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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109
TF factor-bounds graph:
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268
267
266
265
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263
261
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2100
Last modified: 2021-06-15T03:33:36+00:00