is 2 3108613 - 1
has 935786 decimal digits
takes 0.265 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD447CC5438707039double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26938.405268.1159%30000001000000001.02247.4202%39.427670.4818%2.3659%
PrimeNet2600.049463.3333%130002400000.00312.6435%0.052564.3026%0.9693%
GPU722641.145065.6250%140002400000.00321.5079%1.148266.1434%0.5184%
Difference+5+37.2602+2.4909%+2986000+99760000+1.0192+5.9123%+38.2794+4.3385%+4.3385%

Known prime factors (1 factor, 85.7 bits, 0.00275620% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3108613619576339586400817376120232685.6799965478809784312447
3 × 647 × 2267 × 127591 × 17750111
2018-08-24127591177501114,630,4730.13420.2229

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.202%
2009-07-03T21:38:00Carsten Kossendeyleela15000180000---0.003--0.651%
2011-08-23T05:44:00Squeeky_SquirrelT7500_22001000002125000---0.026--2.253%
2016-08-31T03:20:26Jocelyn Larouchelow4M10000042500006---0.040--2.635%
2016-12-28T01:45:57Jocelyn Larouchelow 4M120000120000---0.015--0.827%
2017-01-19T17:19:12Jocelyn Larouchelow 4M156000156000---0.019--0.960%
2017-02-04T18:42:41Jocelyn Larouchelow 4M187200187200---0.023--1.060%
2017-02-16T04:19:51Jocelyn Larouchelow 4M22464022464006---0.041--2.631%
2017-03-11T20:20:07Jocelyn Larouchelow 4M26956826956806---0.050--2.825%
2018-08-24T14:01:08mikrMSI3000000100000000122685.6791.0220.5292.0457.420%
2020-09-07T14:32:34Jocelyn LaroucheManual testing47249262172266---0.097--3.689%
2022-01-06T11:34:59Jocelyn LaroucheManual testing1238782116447100-
skipped known factor: 61957633958640081737612023
--0.928--6.997%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-09T00:00:00ANONYMOUSv4_computers21260--0.049--
2009-02-13T02:19:00Sturle Sundegollumilla.ifi260261--0.049--
2011-11-21T16:15:00markroldgamer261262--0.099--
2013-01-07T13:56:00dbaughManual testing262263--0.316--
2015-02-07T18:29:00VictordeHollanderManual testing263264--0.632--
2015-02-07T18:29:00VictordeHollanderManual testing264265--1.202--
2015-06-11T22:04:00ThaManual testing265266--2.404--
2017-04-11T13:39:12Gordon SpenceManual testing266267--4.808--
2021-04-11T11:38:30Jocelyn LaroucheManual testing267268--9.62--
2021-12-11T12:17:53Jocelyn LaroucheManual testing268269--19.23--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.753 GHz-days
Estimated T-Level:0.750
DigitsB1CurvesCompleteFacMiss
201100015 / 1000.15086.006%
255000015 / 2800.05494.775%

New Calculation Method

Total ECM effort:1.753 GHz-days
Estimated T-Level:0.750
DigitsB1CompleteFacMiss
20110000.48461.639%
25500000.04495.721%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.753


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-30T00:00:00ANONYMOUSv4_computersD447CC54387070390.265


PRP results:
dateuseridcompidcofactorsres64PRP
2018-08-24T14:25:20ATHwork200558
61957633958640081737612023
3277ECCE0FFB81__no
2018-08-25T04:35:40Martin RussellThunderChoad
61957633958640081737612023
3277ECCE0FFB81__no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1238782, B2 = 116447100 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1238782 (P-1 stage 1)
B1 = 472492, B2 = 6217226 (P-1 stage 2)
B1 = 472492 (P-1 stage 1)
B1 = 269568, B2 = 2695680 (P-1 stage 2)
B1 = 224640, B2 = 2246400 (P-1 stage 2)
B1 = 100000, B2 = 4250000 (P-1 stage 2)
B1 = 269568 (P-1 stage 1)
B1 = 224640 (P-1 stage 1)
B1 = 100000, B2 = 2125000 (P-1 stage 2)
B1 = 187200 (P-1 stage 1)
B1 = 156000 (P-1 stage 1)
B1 = 120000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 15000, B2 = 180000 (P-1 stage 2)
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: 2022-01-06T11:34:59+00:00