is 2 3111803 - 1
has 936747 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-LA9FFEAB09A539712double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26938.365868.1159%30000001000000001.02247.4210%39.388270.4820%2.3661%
PrimeNet2600.049463.3333%130002400000.00312.6440%0.052564.3028%0.9695%
GPU722641.143865.6250%140002400000.00321.5082%1.147166.1435%0.5185%
Difference+5+37.2220+2.4909%+2986000+99760000+1.0192+5.9127%+38.2412+4.3386%+4.3386%

Known prime factors (1 factor, 81.4 bits, 0.00261494% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
311180331285720082509988557285932581.372502694419963442232
23 × 3 × 307 × 68226712807199
2020-07-2630768226712807199170,051458,741856,801

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.202%
2009-07-03T21:41:00Carsten Kossendeyleela15000180000---0.003--0.651%
2011-08-24T11:18:00Squeeky_SquirrelT7500_22001050002126250---0.027--2.277%
2016-08-31T03:20:27Jocelyn Larouchelow4M10500042525006---0.041--2.663%
2016-12-28T01:46:00Jocelyn Larouchelow 4M126000126000---0.016--0.851%
2017-01-30T01:30:36Jocelyn Larouchelow 4M163200163200---0.020--0.985%
2017-02-04T18:42:46Jocelyn Larouchelow 4M195840195840---0.024--1.086%
2017-02-18T18:11:41Jocelyn Larouchelow 4M23500823500806---0.043--2.679%
2017-03-13T20:13:54Jocelyn Larouchelow 4M28200928200906---0.052--2.875%
2018-09-12T21:28:30mikrMSI300000010000000012---1.022--7.421%
2021-01-17T00:34:24Jocelyn LaroucheManual testing31200931118036---0.057--2.984%
2022-01-24T00:00:39Jocelyn LaroucheManual testing1061180119912100---0.930--6.908%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-09T00:00:00sssvsv4_computers21260--0.049--
2009-04-12T11:28:00S485122USB-Z260261--0.049--
2011-11-25T03:31:00markroldgamer261262--0.099--
2013-01-03T08:41:00dbaughManual testing262263--0.315--
2015-02-07T18:29:00VictordeHollanderManual testing263264--0.631--
2015-02-07T18:29:00VictordeHollanderManual testing264265--1.201--
2015-06-11T22:04:00ThaManual testing265266--2.401--
2017-04-14T16:24:29Gordon SpenceManual testing266267--4.803--
2019-01-28T14:25:44TJAOIManual testing267268--9.61--
2022-01-05T10:04:44Jocelyn LaroucheManual testing268269--19.21--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.064 GHz-days
Estimated T-Level:22.607
DigitsB1CurvesCompleteFacMiss
2011000146 / 1001.46023.054%
2550000146 / 2800.52159.312%

New Calculation Method

Total ECM effort:17.064 GHz-days
Estimated T-Level:22.607
DigitsB1CompleteFacMiss
20110004.7100.901%
25500000.42665.334%
302500000.02697.413%
3510000000.00199.880%


ECM Summary

B1B2factorcurvesGHz-days
50000500000014516.95
50000500000010.117


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-30T00:00:00sssvsv4_computersA9FFEAB09A5397120.265


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-26T11:06:39Christoph ZengerManual testing
3128572008250998855728593
187E01BCCD23EEB0no
2020-07-27T00:33:16Yuji HASEGAWAvj20a
3128572008250998855728593
187E01BCCD23EEB0no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1061180, B2 = 119912100 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1061180 (P-1 stage 1)
B1 = 312009, B2 = 3111803 (P-1 stage 2)
B1 = 282009, B2 = 2820090 (P-1 stage 2)
B1 = 235008, B2 = 2350080 (P-1 stage 2)
B1 = 105000, B2 = 4252500 (P-1 stage 2)
B1 = 312009 (P-1 stage 1)
B1 = 282009 (P-1 stage 1)
B1 = 235008 (P-1 stage 1)
B1 = 105000, B2 = 2126250 (P-1 stage 2)
B1 = 195840 (P-1 stage 1)
B1 = 163200 (P-1 stage 1)
B1 = 126000 (P-1 stage 1)
B1 = 105000 (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: 2022-01-24T00:00:39+00:00