is 2 2470199 - 1
has 743604 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-L4E42E1DE8B77A3CAdouble-checked
PRP55693332FF561E82verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26948.330868.1159%60000001800000001.55698.3521%49.887770.7789%2.6630%
PrimeNet2590.031162.7119%100001800000.00192.5322%0.033063.6561%0.9442%
GPU722630.646165.0794%110001600000.00191.3787%0.648065.5608%0.4815%
Difference+6+47.6847+3.0366%+5989000+179840000+1.5550+6.9733%+49.2397+5.2181%+5.2181%

Known prime factors (1 factor, 95.3 bits, 0.00385671% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2470199477172136106418223044915631112995.2689658576821268614857445
32 × 5 × 521 × 797 × 1277 × 404775001129
2021-09-2012774047750011294.967e+92,218.04,142.6

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-14T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.189%
2003-10-31T00:00:00Team Prime Ribv4_computers15000232500---0.003--0.673%
2010-11-19T22:14:00Jocelyn LaroucheManual testing2000020000---0.002--0.220%
2010-12-02T22:33:00Jocelyn LaroucheManual testing247019247019---0.025--1.178%
2013-10-23T18:20:00David Campeaui5-2500k59000015930000---0.143--4.470%
2019-04-23T03:06:04Sid & AndyBullseye600000018000000012---1.557--8.352%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-02T00:00:00bezaharv4_computers21259--0.031--
2016-02-23T16:29:14Mark RoseManual testing259260--0.031--
2009-01-14T21:28:00Sturle Sundeinteravia.ifi260261--0.062--
2012-08-01T08:23:00Grant McCrackenthumper261262--0.124--
2013-02-21T00:57:00dbaughManual 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--6.050--
2019-06-10T09:46:17TJAOIManual testing267268--12.10--
2021-06-17T12:14:34TJAOIManual testing268269--24.20--


ECM factoring results:

Old Calculation Method

Total ECM effort:13.588 GHz-days
Estimated T-Level:22.607
DigitsB1CurvesCompleteFacMiss
2011000146 / 1001.46023.054%
2550000146 / 2800.52159.312%

New Calculation Method

Total ECM effort:13.588 GHz-days
Estimated T-Level:22.607
DigitsB1CompleteFacMiss
20110004.7410.873%
25500000.42965.107%
302500000.02697.390%
3510000000.00199.879%


ECM Summary

B1B2factorcurvesGHz-days
50000500000012511.47
50000500000070.642
500006750000141.474


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-02T00:00:00bezaharv4_computers4E42E1DE8B77A3CA0.171
2018-05-28T23:26:37kkmrkkblmbrbkold4E42E1DE8B77A3CA0.171


PRP results:
dateuseridcompidcofactorsres64PRP
2021-09-21T05:17:32SRJ2877LTOS
47717213610641822304491563111
55693332FF561E82no


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 = 247019 (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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1010
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TF factor-bounds graph:
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266
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264
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2100
Last modified: 2021-09-21T05:17:32+00:00