is 2 2163349 - 1
has 651233 decimal digits
takes 0.142 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L124D3A167164E4B3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26827.552167.6471%50000002000000001.48968.9431%29.041770.5404%2.8933%
PrimeNet2580.017762.0690%100001800000.00182.8542%0.019663.1516%1.0826%
GPU722620.284064.5161%100001600000.00171.5197%0.285765.0554%0.5393%
Difference+6+27.2681+3.1309%+4990000+199840000+1.4878+7.4233%+28.7560+5.4850%+5.4850%

Known prime factors (1 factor, 71.9 bits, 0.00332327% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
216334943875824803847009594712271.8941014071811895515
3 × 5 × 67 × 317 × 3183049459
2020-01-283173183049459408.3316.53430.880

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.225%
2010-11-04T10:39:00Jocelyn LaroucheManual testing1500015000---0.001--0.198%
2010-11-07T03:25:00Jocelyn LaroucheManual testing3000030000---0.003--0.354%
2011-01-15T02:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.513%
2011-01-22T10:46:00markrtiny1200002340000---0.023--2.547%
2014-10-05T22:22:00Jocelyn LaroucheManual testing149669149669---0.014--1.008%
2016-04-20T21:55:08Jocelyn LaroucheManual testing240000883523012---0.068--3.823%
2017-09-05T23:15:04Jocelyn Larouchelow 4M48000048000006---0.068--3.683%
2017-09-13T23:12:01Jocelyn Larouchelow 4M57600057600006---0.082--3.915%
2019-10-21T02:21:30mikrMSI500000020000000012---1.490--8.943%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-03-17T00:00:00ANONYMOUSv4_computers21257--0.009--
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:07Mark RoseManual testing258260--0.053--
2009-01-04T17:35:00Sturle Sundegoober.ifi260261--0.071--
2009-01-07T11:29:00Sturle Sundegoscha.ifi261262--0.142--
2013-01-23T08:20:00dbaughManual testing262263--0.454--
2015-03-25T10:09:00VictordeHollanderManual testing263264--0.908--
2015-03-25T10:09:00VictordeHollanderManual testing264265--1.727--
2015-12-30T18:01:38ramgeisManual testing265266--3.454--
2016-11-11T01:20:36Gordon SpenceManual testing266267--6.908--
2019-05-13T13:38:17TJAOIManual testing267268--13.82--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.759 GHz-days
Estimated T-Level:2.200
DigitsB1CurvesCompleteFacMiss
201100044 / 1000.44064.261%
255000044 / 2800.15785.434%

New Calculation Method

Total ECM effort:3.759 GHz-days
Estimated T-Level:2.200
DigitsB1CompleteFacMiss
20110001.41924.187%
25500000.12887.961%
302500000.00899.213%


ECM Summary

B1B2factorcurvesGHz-days
500005000000423.588
50000500000020.171


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-17T00:00:00ANONYMOUSv4_computers124D3A167164E4B30.142
1999-02-07T00:00:00ANONYMOUSv4_computers124D3A167164E4B30.142
2018-04-11T03:06:15kkmrkkblmbrbkold124D3A167164E4B30.142


PRP results:
dateuseridcompidcofactorsres64PRP
2020-01-29T00:50:14Niels_Mache_NextcloudSuperDry-X
4387582480384700959471
44C144C45C76F371no
2020-01-29T12:31:57Jinyuan WangManual testing
4387582480384700959471
44C144C45C76F371no
2020-01-29T19:58:31marssystemsSYSTEM01
4387582480384700959471
44C144C45C76F371no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 576000, B2 = 5760000 (P-1 stage 2)
B1 = 480000, B2 = 4800000 (P-1 stage 2)
B1 = 240000, B2 = 8835230 (P-1 stage 2)
B1 = 576000 (P-1 stage 1)
B1 = 480000 (P-1 stage 1)
B1 = 120000, B2 = 2340000 (P-1 stage 2)
B1 = 240000 (P-1 stage 1)
B1 = 149669 (P-1 stage 1)
B1 = 120000 (P-1 stage 1)
B1 = 50000 (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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1010
TF factor-bounds graph:
268
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266
265
264
263
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261
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2100
Last modified: 2020-01-29T19:58:31+00:00