is 2 3816767 - 1
has 1148962 decimal digits
takes 0.401 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L8EFB8E490DA30265double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26931.279668.1159 %150000007500000008.382811.1372 %39.662471.6669 %
Target2640.932665.6250 %2400022500000.02212.1649 %0.954766.3692 %
Difference+5+30.3470+2.4909 %+14976000+747750000+8.3607+8.9724%+38.7077+5.2978 %

Known prime factors (1 factor, 77.7 bits, 0.00203550% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
38167672438204211878221448896812477.69031940700229778520
23 × 3 × 5 × 97 × 4483 × 612100471
2021-01-0344836121004718,331.85.07949.4856

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-24Carsten Kossendeymother20000270000--0.0051.796%
2011-11-03Squeeky_SquirrelT7500_22006500011212506--0.0193.343%
2014-09-20JossManual testing8181681816--0.0121.394%
2016-01-28JossManual testing22239322239306--0.0504.628%
2016-08-14JossManual testing22239344478606--0.0695.369%
2021-01-03axnManual testing1500000075000000022477.6908.38315.411%
2022-03-03JossManual testing9000090000--0.0141.466%
2022-03-22JossManual testing100000100000--0.0151.548%
2022-05-24JossManual testing100000130364850--1.3028.135%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-02-08Amperiov4_computers212600.020
2009-02-27S485122USB-Z2602610.040
2011-03-23markroldgamer2612620.080
2012-03-23GrunwalderGIMPManual testing212630.418
2016-02-23Mark RoseManual testing2622630.257
2015-01-18VictordeHollanderManual testing2632651.493
2016-03-05ramgeisManual testing2652661.958
2016-11-17Gordon SpenceManual testing2662673.916
2018-10-08TJAOIManual testing2672687.831
2020-10-26TJAOIManual testing26826915.66


ECM factoring results:
Total ECM effort:1.649 GHz-days
Estimated T-Level:2.308
DigitsB1CompleteFacMiss
20110000.46263.031%
25500000.04395.819%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.649


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-08Amperiov4_computers8EFB8E490DA302650.401
1999-09-07ANONYMOUSv4_computers8EFB8E490DA302650.401


PRP results:
dateuseridcompidcofactorsres64
2021-01-03SRJ2877LTOS
243820421187822144889681
5949D45B922912A6


CERT results:
dateuseridcompid
2021-01-03curtiscwcm128--13l


P-1 factor-bounds graph:
B1 = 15000000, B2 = 750000000 (P-1 stage 2)
B1 = 15000000 (P-1 stage 1)
B1 = 100000, B2 = 130364850 (P-1 stage 2)
B1 = 222393, B2 = 4447860 (P-1 stage 2)
B1 = 222393, B2 = 2223930 (P-1 stage 2)
B1 = 222393 (P-1 stage 1)
B1 = 65000, B2 = 1121250 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 81816 (P-1 stage 1)
B1 = 65000 (P-1 stage 1)
B1 = 20000, B2 = 270000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
102
103
104
105
106
107
108
102
103
104
105
106
107
108
109
TF factor-bounds graph:
269
268
267
266
265
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=2.31 ~= -9-bit
250
260
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Last modified: 2024-03-13T02:15:48+00:00