is 2 3831781 - 1
has 1153482 decimal digits
takes 0.402 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LDB1046AF48AA7383double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26931.157068.1159 %150000007500000008.382811.1408 %39.539871.6681 %
Target2640.928965.6250 %2400025000000.02422.2264 %0.953166.3903 %
Difference+5+30.2281+2.4909 %+14976000+747500000+8.3586+8.9143%+38.5867+5.2777 %

Known prime factors (1 factor, 72.4 bits, 0.00188902% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
383178161589289459966171322732272.383803664007154456
23 × 7 × 14351142984901
2022-02-09814351142984901249.58119,074222,397

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-27Carsten Kossendeymother20000270000--0.0051.798%
2011-10-30Squeeky_SquirrelT7500_22007000011375006--0.0203.398%
2014-10-14JossManual testing8675086750--0.0131.439%
2016-02-17JossManual testing21954221954206--0.0504.611%
2016-08-06JossManual testing43908421954206--0.0814.892%
2016-08-10JossManual testing43908443908406--0.1005.731%
2021-01-23axnManual testing15000000750000000--8.38315.415%
2022-04-02JossManual testing1000000147585900--1.62510.942%
2022-09-09JossManual testing1000000212677920--2.39311.447%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-04-21ANONYMOUSv4_computers212600.020
2009-02-27S485122USB-A2602610.040
2011-03-10markroldgamer2612620.080
2012-02-29GrunwalderGIMPManual testing212630.416
2016-02-23Mark RoseManual testing2622630.256
2015-01-18VictordeHollanderManual testing2632640.512
2015-01-18VictordeHollanderManual testing2642650.975
2016-03-05ramgeisManual testing2652661.950
2016-11-19Gordon SpenceManual testing2662673.900
2018-09-17TJAOIManual testing2672687.801
2020-10-26TJAOIManual testing26826915.60


ECM factoring results:
Total ECM effort:3.330 GHz-days
Estimated T-Level:4.439
DigitsB1CompleteFacMiss
20110000.88841.155%
25500000.08292.110%
302500000.00599.483%


ECM Summary

B1B2factorcurvesGHz-days
500005000000192.701
50000500000030.450
50000700000010.178


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-05-23ANONYMOUSv4_computersDB1046AF48AA73830.402
1999-10-21ANONYMOUSv4_computersDB1046AF48AA73830.402


PRP results:
dateuseridcompidcofactorsres64
2022-02-14Oliver KruseIOS-6
6158928945996617132273
F8EA3C8B171C8EDC


CERT results:
dateuseridcompid
2022-02-14curtiscwcm229--03l


P-1 factor-bounds graph:
B1 = 15000000, B2 = 750000000 (P-1 stage 2)
B1 = 15000000 (P-1 stage 1)
B1 = 1000000, B2 = 212677920 (P-1 stage 2)
B1 = 1000000, B2 = 147585900 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 439084, B2 = 4390840 (P-1 stage 2)
B1 = 439084, B2 = 2195420 (P-1 stage 2)
B1 = 439084 (P-1 stage 1)
B1 = 219542, B2 = 2195420 (P-1 stage 2)
B1 = 219542 (P-1 stage 1)
B1 = 70000, B2 = 1137500 (P-1 stage 2)
B1 = 86750 (P-1 stage 1)
B1 = 70000 (P-1 stage 1)
B1 = 20000, B2 = 270000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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106
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108
100
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103
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109
1010
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1012
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1014
TF factor-bounds graph:
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268
267
266
265
264
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=4.44 ~= -2-bit
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Last modified: 2024-02-29T14:28:04+00:00