is 2 2470121 - 1
has 743581 decimal digits
takes 0.171 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L5FE585519AF7F750double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26824.130367.6471%60000001800000001.55699.0174%25.687270.5644%2.9174%
PrimeNet2590.031162.7119%100001800000.00192.5322%0.033063.6561%0.9442%
GPU722630.646165.0794%110001600000.00191.3787%0.648165.5608%0.4815%
Difference+5+23.4842+2.5677%+5989000+179840000+1.5550+7.6386%+25.0392+5.0036%+5.0036%

Known prime factors (1 factor, 80.8 bits, 0.00327148% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
247012121186081979632232220450472580.809428847047971176963
3 × 23 × 16822199 × 369462673
2020-10-2916822199369462673159,7053.62423.7812

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-14T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.234%
2003-10-31T00:00:00Team Prime Ribv4_computers15000232500---0.003--0.789%
2010-11-19T22:14:00Jocelyn LaroucheManual testing2000020000---0.002--0.263%
2010-12-02T22:33:00Jocelyn LaroucheManual testing247012247012---0.025--1.339%
2013-10-23T17:31:00David Campeaui5-2500k59000015930000---0.143--4.922%
2019-04-24T12:23:25Sid & AndyBullseye600000018000000012---1.557--9.017%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-02T00:00:00PhillTv4_computers21259--0.031--
2016-02-23T16:29:14Mark RoseManual testing259260--0.031--
2009-01-14T20:22:00Sturle Sundeinteravia.ifi260261--0.062--
2012-08-10T02:58:00Grant McCrackenhome261262--0.124--
2013-01-23T08:29:00dbaughManual testing262263--0.397--
2015-03-03T21:37:00VictordeHollanderManual testing263264--0.795--
2015-03-03T21:37:00VictordeHollanderManual testing264265--1.513--
2015-10-27T09:37:28ramgeisManual testing265266--3.025--
2017-07-22T20:28:34Gordon SpenceManual testing266267--6.051--
2019-06-10T09:46:17TJAOIManual testing267268--12.10--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.801 GHz-days
Estimated T-Level:4.250
DigitsB1CurvesCompleteFacMiss
201100085 / 1000.85042.559%
255000085 / 2800.30473.778%

New Calculation Method

Total ECM effort:7.801 GHz-days
Estimated T-Level:4.250
DigitsB1CompleteFacMiss
20110002.7426.445%
25500000.24878.051%
302500000.01598.486%


ECM Summary

B1B2factorcurvesGHz-days
500005000000837.617
50000500000020.184


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-30T00:00:00ANONYMOUSv4_computers5FE585519AF7F7500.171
2018-05-28T22:53:28kkmrkkblmbrbkold5FE585519AF7F7500.171


PRP results:
dateuseridcompidcofactorsres64PRP
2020-11-01T15:21:12Sébastien BrouckePortable_Seb
2118608197963223222045047
6935DB46BE9F62__no
2020-11-02T12:47:39kutensvega
2118608197963223222045047
6935DB46BE9F6281no


P-1 factor-bounds graph:
B1 = 6000000, B2 = 180000000 (P-1 stage 2)
B1 = 6000000 (P-1 stage 1)
B1 = 590000, B2 = 15930000 (P-1 stage 2)
B1 = 590000 (P-1 stage 1)
B1 = 247012 (P-1 stage 1)
B1 = 15000, B2 = 232500 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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108
102
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109
TF factor-bounds graph:
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266
265
264
263
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261
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2100
Last modified: 2020-11-02T12:47:39+00:00