is 2 2482813 - 1
has 747402 decimal digits
takes 0.172 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-LA6C5749483D31F24double-checked
PRPF38517DB92DC33__verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26948.085368.1159%2382500857701000.69656.9436%48.781870.3298%2.2139%
PrimeNet2590.030962.7119%100001800000.00192.5346%0.032963.6570%0.9451%
GPU722630.642865.0794%110001600000.00191.3801%0.644765.5613%0.4820%
Difference+6+47.4425+3.0366%+2371500+85610100+0.6946+5.5635%+48.1371+4.7685%+4.7685%

Known prime factors (1 factor, 82.2 bits, 0.00331251% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
248281357246856208990425117281432582.2431152862825532781267
32 × 151 × 2326693 × 364602041
2021-11-032326693364602041642,7262.21913.7314

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_computers15000228750---0.003--0.670%
2010-11-20T12:25:00Jocelyn LaroucheManual testing2000020000---0.002--0.221%
2011-01-21T08:47:00Oscar Östlin950001947500---0.020--2.107%
2014-09-02T00:10:00Jocelyn LaroucheManual testing120851120851---0.012--0.797%
2014-11-06T07:44:00mikrMSI238250085770100---0.697--6.944%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-02T00:00:00ANONYMOUSv4_computers21259--0.031--
2016-02-23T16:29:15Mark RoseManual testing259260--0.031--
2009-01-14T18:09:00Sturle Sundeghini.ifi260261--0.062--
2012-06-09T07:43:00Sebastian HornbostelManual testing261262--0.124--
2013-01-23T08:29:00dbaughManual testing262263--0.395--
2015-03-03T21:37:00VictordeHollanderManual testing263264--0.791--
2015-03-03T21:37:00VictordeHollanderManual testing264265--1.505--
2015-10-29T11:36:22ramgeisManual testing265266--3.010--
2017-07-22T20:28:37Gordon SpenceManual testing266267--6.020--
2019-07-01T11:11:00TJAOIManual testing267268--12.04--
2021-06-21T08:54:37TJAOIManual testing268269--24.08--


ECM factoring results:

Old Calculation Method

Total ECM effort:13.421 GHz-days
Estimated T-Level:22.589
DigitsB1CurvesCompleteFacMiss
2011000145 / 1001.45023.286%
2550000145 / 2800.51859.524%

New Calculation Method

Total ECM effort:13.421 GHz-days
Estimated T-Level:22.589
DigitsB1CompleteFacMiss
20110004.7010.909%
25500000.42565.403%
302500000.02697.418%
3510000000.00199.880%


ECM Summary

B1B2factorcurvesGHz-days
50000500000012911.85
50000500000020.184
50000517119470.652
50000675000070.738


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-09T00:00:00ANONYMOUSv4_computersA6C5749483D31F240.172
2018-05-30T16:40:37kkmrkkblmbrbkoldA6C5749483D31F240.172


PRP results:
dateuseridcompidcofactorsres64PRP
2021-11-03T11:47:47SRJ2877LTOS
5724685620899042511728143
F38517DB92DC33__no


P-1 factor-bounds graph:
B1 = 2382500, B2 = 85770100 (P-1 stage 2)
B1 = 2382500 (P-1 stage 1)
B1 = 95000, B2 = 1947500 (P-1 stage 2)
B1 = 120851 (P-1 stage 1)
B1 = 95000 (P-1 stage 1)
B1 = 15000, B2 = 228750 (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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TF factor-bounds graph:
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Last modified: 2021-11-03T11:47:47+00:00