is 2 2179729 - 1
has 656164 decimal digits
takes 0.143 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L007301455DACC800double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26827.345167.6471%25000001250000000.87467.9277%28.219770.2119%2.5649%
PrimeNet2580.017662.0690%100001800000.00182.8582%0.019563.1531%1.0841%
GPU722620.281964.5161%110001600000.00181.5687%0.283765.0728%0.5566%
Difference+6+27.0632+3.1309%+2489000+124840000+0.8728+6.3590%+27.9361+5.1392%+5.1392%

Known prime factors (1 factor, 82.6 bits, 0.00378719% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
217972970825234329078376605338632582.5511624633941400017539
23 × 139 × 1373 × 370119825419
2020-11-201373370119825419478,4341,922.53,590.7

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.226%
2010-11-05T01:17:00Jocelyn LaroucheManual testing1500015000---0.001--0.198%
2010-11-08T11:36:00Jocelyn LaroucheManual testing3000030000---0.003--0.354%
2011-01-14T09:46:00markrtiny900001620000---0.017--2.204%
2014-06-26T21:21:00ANONYMOUSManual testing119446119446---0.011--0.890%
2014-10-07T22:12:00Jocelyn LaroucheManual testing148892148892---0.014--1.007%
2016-01-04T02:12:25Jocelyn LaroucheManual testing44365544365506---0.063--3.589%
2018-01-20T00:52:25mikrMSI250000012500000012---0.875--7.928%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:08Mark RoseManual testing258260--0.053--
2009-01-04T10:32:00Sturle Sundefungo.ifi260261--0.070--
2009-01-07T01:57:00Sturle Sundedietrich.ifi261262--0.141--
2013-01-23T08:20:00dbaughManual testing262263--0.450--
2015-03-25T10:09:00VictordeHollanderManual testing263264--0.901--
2015-03-25T10:09:00VictordeHollanderManual testing264265--1.714--
2016-01-02T13:50:58ramgeisManual testing265266--3.428--
2016-11-24T19:46:05Gordon SpenceManual testing266267--6.857--
2019-04-22T13:11:41TJAOIManual testing267268--13.71--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.859 GHz-days
Estimated T-Level:22.268
DigitsB1CurvesCompleteFacMiss
2011000127 / 1001.27027.904%
2550000127 / 2800.45463.484%

New Calculation Method

Total ECM effort:10.859 GHz-days
Estimated T-Level:22.268
DigitsB1CompleteFacMiss
20110004.0971.663%
25500000.37069.055%
302500000.02397.746%
3510000000.00199.896%


ECM Summary

B1B2factorcurvesGHz-days
50000500000012610.77
50000500000010.086


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14T00:00:00ANONYMOUSv4_computers007301455DACC8000.143
2018-04-13T12:56:21kkmrkkblmbrbkold007301455DACC8000.143


PRP results:
dateuseridcompidcofactorsres64PRP
2020-11-20T15:59:24mrhlanai
7082523432907837660533863
91942255A04BFAC8no
2020-11-20T16:12:30ANONYMOUSPC136
7082523432907837660533863
91942255A04BFAC8no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 443655, B2 = 4436550 (P-1 stage 2)
B1 = 443655 (P-1 stage 1)
B1 = 90000, B2 = 1620000 (P-1 stage 2)
B1 = 148892 (P-1 stage 1)
B1 = 119446 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 30000 (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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102
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1010
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TF factor-bounds graph:
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265
264
263
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261
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2100
Last modified: 2020-11-20T16:12:30+00:00