is 2 2971559 - 1
has 894529 decimal digits
takes 0.253 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L644BA1AC5986308Bdouble-checked
PRPE3BA2533AEEF3FDDverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26940.176568.1159%1000000200000000.25125.0598%40.427669.7292%1.6133%
PrimeNet2600.051763.3333%120002200000.00292.5107%0.054664.2539%0.9206%
GPU722641.197865.6250%120002000000.00271.3486%1.200566.0886%0.4636%
Difference+5+38.9787+2.4909%+988000+19800000+0.2484+3.7112%+39.2271+3.6406%+3.6406%

Known prime factors (1 factor, 86.3 bits, 0.00290319% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2971559932880501592099745296721512686.27015696819440436816925
52 × 627872777617472677
2021-06-28256278727776174726777,836,5334.222e+97.885e+9

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-13T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.199%
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.120%
2010-10-27T22:32:00markrtiny950001995000---0.024--2.180%
2015-05-02T08:23:00VictordeHollanderManual testing100000020000000---0.251--5.060%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-09T00:00:00ANONYMOUSv4_computers21260--0.052--
2009-02-12T20:26:00Sturle Sundeantonov.ifi260261--0.052--
2011-11-29T06:57:00Sebastian HornbostelManual testing261262--0.103--
2013-01-07T13:49:00dbaughManual testing262263--0.330--
2015-04-29T14:58:00VictordeHollanderManual testing263264--0.661--
2015-04-29T14:58:00VictordeHollanderManual testing264265--1.257--
2016-02-28T22:17:41ramgeisManual testing265266--2.515--
2017-12-03T16:23:23Gordon SpenceManual testing266267--5.030--
2018-12-25T13:40:43chuenkitManual testing267268--10.06--
2021-05-17T10:42:34TJAOIManual testing268269--20.12--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.949 GHz-days
Estimated T-Level:3.800
DigitsB1CurvesCompleteFacMiss
201100076 / 1000.76046.588%
255000076 / 2800.27176.192%

New Calculation Method

Total ECM effort:8.949 GHz-days
Estimated T-Level:3.800
DigitsB1CompleteFacMiss
20110002.9495.241%
25500000.27376.134%
302500000.01798.293%


ECM Summary

B1B2factorcurvesGHz-days
50000480000070.797
500005000000606.957
50000635000020.259
50000675000070.936


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-16T00:00:00Phantomasv4_computers644BA1AC5986308B0.253
2018-10-18T03:23:46kkmrkkblmbrbkold644BA1AC5986308B0.253


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-29T11:17:16marssystemssystem11
93288050159209974529672151
E3BA2533AEEF3FDDno


P-1 factor-bounds graph:
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 95000, B2 = 1995000 (P-1 stage 2)
B1 = 95000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-06-29T11:17:16+00:00