is 2 3152167 - 1
has 948897 decimal digits
takes 0.268 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L0FE061FEFAD834B8double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26937.874568.1159%12228241164471000.92576.9972%38.800270.3469%2.2310%
PrimeNet2600.048763.3333%130002400000.00312.6502%0.051964.3051%0.9717%
GPU722641.129265.6250%150002400000.00341.5444%1.132566.1559%0.5309%
Difference+5+36.7453+2.4909%+1207824+116207100+0.9223+5.4527%+37.6676+4.1910%+4.1910%

Known prime factors (1 factor, 89.3 bits, 0.00283350% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
31521677709153873520489857279939592789.317122283398587709500437
3 × 2399 × 31277 × 563357 × 964289
2019-05-0356335796428977,454,4330.07220.1415

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.203%
2009-07-03T21:39:00Carsten Kossendeyleela15000183750---0.003--0.657%
2011-09-07T12:13:00Squeeky_SquirrelT7500_220055000948750---0.013--1.607%
2013-09-04T14:24:00Squeeky_SquirrelP4_26001100002502500---0.030--2.393%
2015-11-24T14:15:18HBendtzManual testing5000001200000012---0.139--4.269%
2019-05-03T15:23:20mikrMSI3000000120000002789.3170.3700.5370.7404.958%
2021-01-16T17:21:45Jocelyn LaroucheManual testing31521631521676---0.058--3.003%
2022-01-06T11:35:07Jocelyn LaroucheManual testing1222824116447100-
skipped known factor: 770915387352048985727993959
--0.926--6.997%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-02-08T00:00:00ANONYMOUSv4_computers21259--0.024--
2001-06-23T00:00:00ANONYMOUSv4_computers21260--0.049--
2009-04-10T12:33:00S485122USB-A260261--0.049--
2011-11-04T19:43:00markrManual testing21262--0.195--
2013-01-03T08:45:00dbaughManual testing262263--0.311--
2015-02-11T09:10:00VictordeHollanderManual testing263264--0.623--
2015-02-11T09:10:00VictordeHollanderManual testing264265--1.185--
2015-06-17T09:59:00ThaManual testing265266--2.371--
2017-04-22T18:10:33Gordon SpenceManual testing266267--4.741--
2019-02-04T14:28:18TJAOIManual testing267268--9.483--
2021-01-08T11:34:53Jocelyn LaroucheManual testing268269--18.97--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.757 GHz-days
Estimated T-Level:0.750
DigitsB1CurvesCompleteFacMiss
201100015 / 1000.15086.006%
255000015 / 2800.05494.775%

New Calculation Method

Total ECM effort:1.757 GHz-days
Estimated T-Level:0.750
DigitsB1CompleteFacMiss
20110000.48461.639%
25500000.04495.721%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.757


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-19T00:00:00ANONYMOUSv4_computers0FE061FEFAD834B80.268
1999-06-06T00:00:00ANONYMOUSv4_computers0FE061FEFAD834B80.268


PRP results:
dateuseridcompidcofactorsres64PRP
2019-05-04T13:00:56artorollofourth
770915387352048985727993959
D1AECFDD97DAD03Ano
2019-05-05T04:48:15kkmrkkblmbrbkc5.large
770915387352048985727993959
D1AECFDD97DAD03Ano


P-1 factor-bounds graph:
B1 = 1222824, B2 = 116447100 (P-1 stage 2)
B1 = 3000000, B2 = 12000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1222824 (P-1 stage 1)
B1 = 500000, B2 = 12000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 315216, B2 = 3152167 (P-1 stage 2)
B1 = 315216 (P-1 stage 1)
B1 = 110000, B2 = 2502500 (P-1 stage 2)
B1 = 110000 (P-1 stage 1)
B1 = 55000, B2 = 948750 (P-1 stage 2)
B1 = 55000 (P-1 stage 1)
B1 = 15000, B2 = 183750 (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: 2022-01-06T11:35:07+00:00