is 2 3480623 - 1
has 1047772 decimal digits
takes 0.366 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP5E0F24B8220C2923verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26934.300468.1159%50000004050000004.08039.5492%38.380771.1606%3.0447%
PrimeNet2600.044163.3333%150003000000.00462.9576%0.048864.4178%1.0844%
GPU722641.022665.6250%190003600000.00571.8868%1.028366.2736%0.6486%
Difference+5+33.2778+2.4909%+4981000+404640000+4.0746+7.6623%+37.3524+4.8870%+4.8870%

Known prime factors (1 factor, 92.0 bits, 0.00264239% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
348062348554741387487709810555231132891.972697500725983361452972
22 × 397 × 30089 × 49409 × 295447519
2022-01-2249409295447519256,100,0872.45854.5785

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-07T04:46:00Carsten Kossendeyleela20000240000---0.005--0.812%
2011-11-13T13:06:00harleeP4_260060000990000---0.017--1.689%
2014-08-21T21:46:00Jocelyn LaroucheManual testing7844078440---0.012--0.653%
2014-09-28T04:17:00HBendtzHAL900750000010000000---0.155--4.167%
2021-11-15T10:56:22Aaron HavilandManual testing15000003000000012---0.465--5.772%
2022-01-22T16:26:12mikrMSI50000004050000002891.9724.0800.7318.1619.549%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-02-02T14:49:50riccardo ubertiColab_noGPU12500000010000000027--1.930
2022-02-15T16:03:41riccardo ubertiColab_noGPU15500000010000000065--1.930


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:31Mark RoseManual testing21260--0.044--
2009-03-19T18:08:00S485122USB-Z260261--0.044--
2011-07-20T23:09:00markroldgamer261262--0.088--
2012-08-18T15:36:00GrunwalderGIMPManual testing21263--0.459--
2016-02-23T16:29:31Mark RoseManual testing262263--0.282--
2015-02-07T18:05:00VictordeHollanderManual testing263264--0.564--
2015-02-07T18:05:00VictordeHollanderManual testing264265--1.073--
2016-01-05T09:38:58ramgeisManual testing265266--2.147--
2017-02-18T19:55:08Gordon SpenceManual testing266267--4.294--
2018-11-05T15:44:26TJAOIManual testing267268--8.588--
2021-01-10T16:07:21axnManual testing268269--17.18--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.793 GHz-days
Estimated T-Level:2.650
DigitsB1CurvesCompleteFacMiss
201100053 / 1000.53058.704%
255000053 / 2800.18982.727%

New Calculation Method

Total ECM effort:9.793 GHz-days
Estimated T-Level:2.650
DigitsB1CompleteFacMiss
20110001.87215.383%
25500000.16984.475%
302500000.01098.960%


ECM Summary

B1B2factorcurvesGHz-days
500005000070.567
500005000000365.301
50000675000071.195
5000014400000102.730


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-12-01T00:00:00ANONYMOUSv4_computersF3164F11D1FA6A__0.366


PRP results:
dateuseridcompidcofactorsres64PRP
2022-01-27T18:04:27riccardo ubertiNomad2C
4855474138748770981055523113
5E0F24B8220C2923no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 405000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 1500000, B2 = 30000000 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 60000, B2 = 990000 (P-1 stage 2)
B1 = 78440 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 20000, B2 = 240000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-02-15T16:03:41+00:00