Gap size : 96 (r=48)

Generated by program gapCounts : Mon Jun 27 12:44:48 2011

π(r,x) = actual gap count
L(r,x) = conjectured gap count
D(r,x) = L(r,x) - π(r,x)
S(r,x) = D(r,x)*ln(x)/x½

x π(r,x)L(r,x) D(r,x)S(r,x)
1.0000e+02000.000.00
2.0000e+020-0-0.00-0.00
3.0000e+020-0-0.00-0.00
4.0000e+020-0-0.00-0.00
5.0000e+020-0-0.00-0.00
6.0000e+020-0-0.00-0.00
7.0000e+020-0-0.00-0.00
8.0000e+020-0-0.00-0.00
9.0000e+020-0-0.00-0.00
1.0000e+030-0-0.00-0.00
1.1000e+030-0-0.00-0.00
1.2000e+030-0-0.00-0.00
1.3000e+030-0-0.00-0.00
1.4000e+030-0-0.00-0.00
1.5000e+030-0-0.00-0.00
1.6000e+030-0-0.00-0.00
1.7000e+030-0-0.00-0.00
1.8000e+030-0-0.00-0.00
1.9000e+030-0-0.00-0.00
2.0000e+030-0-0.00-0.00
2.1000e+030-0-0.00-0.00
2.2000e+030-0-0.00-0.00
2.3000e+030-0-0.00-0.00
2.4000e+030-0-0.00-0.00
2.5000e+030-0-0.00-0.00
2.6000e+030-0-0.00-0.00
2.7000e+030-0-0.00-0.00
2.8000e+030-0-0.00-0.00
2.9000e+030-0-0.00-0.00
3.0000e+03000.000.00
3.1000e+03000.000.00
3.2000e+03000.000.00
3.3000e+03000.000.00
3.4000e+03000.000.00
3.5000e+03000.000.00
3.6000e+03000.000.00
3.7000e+03000.000.00
3.8000e+03000.000.00
3.9000e+030-0-0.00-0.00
4.0000e+030-0-0.00-0.00
4.1000e+030-0-0.00-0.00
4.2000e+030-0-0.00-0.00
4.3000e+030-0-0.00-0.00
4.4000e+030-0-0.00-0.00
4.5000e+030-0-0.00-0.00
4.6000e+030-0-0.00-0.00
4.7000e+030-0-0.00-0.00
4.8000e+030-0-0.00-0.00
4.9000e+030-0-0.00-0.00
5.0000e+030-0-0.00-0.00
5.2000e+030-0-0.00-0.00
5.4000e+030-0-0.00-0.00
5.6000e+030-0-0.00-0.00
5.8000e+030-0-0.00-0.00
6.0000e+030-0-0.00-0.00
6.2000e+030-0-0.00-0.00
6.4000e+030-0-0.00-0.00
6.6000e+03000.000.00
6.8000e+03000.000.00
7.0000e+03000.000.00
7.2000e+03000.000.00
7.4000e+03000.000.00
7.6000e+03000.000.00
7.8000e+03000.000.00
8.0000e+03000.000.00
8.2000e+03000.000.00
8.4000e+03000.000.00
8.6000e+03000.000.00
8.8000e+03000.000.00
9.0000e+03000.000.00
9.2000e+03000.000.00
9.4000e+03000.000.00
9.6000e+03000.000.00
9.8000e+03000.000.00
1.0000e+04000.000.00
1.0500e+04000.000.00
1.1000e+04000.000.00
1.1500e+04000.000.00
1.2000e+04000.000.00
1.2500e+04000.000.00
1.3000e+04000.000.00
1.3500e+04000.000.00
1.4000e+04000.000.00
1.4500e+04000.000.00
1.5000e+04000.000.00
1.5500e+04000.000.00
1.6000e+04000.000.00
1.6500e+04000.000.00
1.7000e+04000.000.00
1.7500e+04000.000.00
1.8000e+04000.000.00
1.8500e+04000.000.00
1.9000e+04000.000.00
1.9500e+04000.000.00
2.0000e+04000.000.00
2.1000e+04000.000.00
2.2000e+04000.000.00
2.3000e+04000.000.00
2.4000e+04000.000.00
2.5000e+04000.000.00
2.6000e+04000.000.00
2.7000e+04000.000.00
2.8000e+04000.000.00
2.9000e+04000.000.00
3.0000e+04000.000.00
3.1000e+04000.000.00
3.2000e+04000.000.00
3.3000e+04000.000.00
3.4000e+04000.000.00
3.5000e+04000.000.00
3.6000e+04000.000.00
3.7000e+04000.000.00
3.8000e+04000.000.00
3.9000e+04000.000.00
4.0000e+04000.000.00
4.1000e+04000.000.00
4.2000e+04000.000.00
4.3000e+04000.000.00
4.4000e+04000.000.00
4.5000e+04000.000.00
4.6000e+04000.000.00
4.7000e+04000.000.00
4.8000e+04000.000.00
4.9000e+04000.000.00
5.0000e+04000.000.00
5.2000e+04000.000.00
5.4000e+04000.000.00
5.6000e+04000.000.00
5.8000e+04000.000.00
6.0000e+04000.000.00
6.2000e+04000.000.00
6.4000e+04000.000.00
6.6000e+04000.000.00
6.8000e+04000.000.00
7.0000e+04000.000.00
7.2000e+04000.000.00
7.4000e+04000.000.00
7.6000e+04000.000.00
7.8000e+04000.010.00
8.0000e+04000.010.00
8.2000e+04000.010.00
8.4000e+04000.010.00
8.6000e+04000.010.00
8.8000e+04000.010.00
9.0000e+04000.010.00
9.2000e+04000.010.00
9.4000e+04000.010.00
9.6000e+04000.010.00
9.8000e+04000.010.00
1.0000e+05000.010.00
1.0500e+05000.010.00
1.1000e+05000.010.00
1.1500e+05000.010.00
1.2000e+05000.020.00
1.2500e+05000.020.00
1.3000e+05000.020.00
1.3500e+05000.020.00
1.4000e+05000.020.00
1.4500e+05000.030.00
1.5000e+05000.030.00
1.5500e+05000.030.00
1.6000e+05000.030.00
1.6500e+05000.040.00
1.7000e+05000.040.00
1.7500e+05000.040.00
1.8000e+05000.040.00
1.8500e+05000.050.00
1.9000e+05000.050.00
1.9500e+05000.050.00
2.0000e+05000.050.00
2.1000e+05000.060.00
2.2000e+05000.070.00
2.3000e+05000.080.00
2.4000e+05000.080.00
2.5000e+05000.090.00
2.6000e+05000.100.00
2.7000e+05000.110.00
2.8000e+05000.120.00
2.9000e+05000.130.00
3.0000e+05000.130.00
3.1000e+05000.140.00
3.2000e+05000.150.00
3.3000e+05000.160.00
3.4000e+05000.180.00
3.5000e+05000.190.00
3.6000e+05000.200.00
3.7000e+0510-0.79-0.02
3.8000e+0510-0.78-0.02
3.9000e+0510-0.77-0.02
4.0000e+0510-0.75-0.02
4.1000e+0510-0.74-0.01
4.2000e+0510-0.73-0.01
4.3000e+0510-0.72-0.01
4.4000e+0510-0.70-0.01
4.5000e+0510-0.69-0.01
4.6000e+0510-0.67-0.01
4.7000e+0510-0.66-0.01
4.8000e+0510-0.64-0.01
4.9000e+0510-0.63-0.01
5.0000e+0510-0.61-0.01
5.2000e+0510-0.58-0.01
5.4000e+0510-0.55-0.01
5.6000e+0510-0.52-0.01
5.8000e+0511-0.48-0.01
6.0000e+0511-0.45-0.01
6.2000e+0511-0.41-0.01
6.4000e+0511-0.37-0.01
6.6000e+0511-0.34-0.01
6.8000e+0511-0.30-0.00
7.0000e+0511-0.26-0.00
7.2000e+0511-0.21-0.00
7.4000e+0511-0.17-0.00
7.6000e+0511-0.13-0.00
7.8000e+0511-0.09-0.00
8.0000e+0511-0.04-0.00
8.2000e+05110.000.00
8.4000e+05110.050.00
8.6000e+05110.100.00
8.8000e+0521-0.85-0.01
9.0000e+0521-0.81-0.01
9.2000e+0521-0.76-0.01
9.4000e+0521-0.71-0.01
9.6000e+0521-0.65-0.01
9.8000e+0521-0.60-0.01
1.0000e+0621-0.55-0.01
1.0500e+0622-0.41-0.01
1.1000e+0622-0.27-0.00
1.1500e+0622-0.13-0.00
1.2000e+06220.020.00
1.2500e+0632-0.83-0.01
1.3000e+0632-0.67-0.01
1.3500e+0642-1.51-0.02
1.4000e+0643-1.34-0.02
1.4500e+0643-1.17-0.01
1.5000e+0643-1.00-0.01
1.5500e+0643-0.82-0.01
1.6000e+0653-1.64-0.02
1.6500e+0654-1.45-0.02
1.7000e+0654-1.27-0.01
1.7500e+0654-1.07-0.01
1.8000e+0654-0.88-0.01
1.8500e+0654-0.68-0.01
1.9000e+0655-0.48-0.00
1.9500e+0665-1.27-0.01
2.0000e+0665-1.06-0.01
2.1000e+0665-0.63-0.01
2.2000e+0676-1.19-0.01
2.3000e+0676-0.74-0.01
2.4000e+0677-0.28-0.00
2.5000e+06770.200.00
2.6000e+0688-0.31-0.00
2.7000e+0698-0.81-0.01
2.8000e+0699-0.30-0.00
2.9000e+06109-0.78-0.01
3.0000e+061010-0.25-0.00
3.1000e+0610100.290.00
3.2000e+0610110.840.01
3.3000e+0610111.390.01
3.4000e+0610121.960.02
3.5000e+0612130.540.00
3.6000e+0613130.130.00
3.7000e+0613140.720.01
3.8000e+0614140.330.00
3.9000e+0614150.940.01
4.0000e+0615160.560.00
4.1000e+0615161.190.01
4.2000e+0615171.830.01
4.3000e+0616171.470.01
4.4000e+0616182.130.02
4.5000e+0617191.790.01
4.6000e+0618191.460.01
4.7000e+0620200.130.00
4.8000e+0620210.820.01
4.9000e+0620221.510.01
5.0000e+0621221.210.01
5.2000e+062524-1.38-0.01
5.4000e+062625-0.93-0.01
5.6000e+062927-2.46-0.02
5.8000e+063028-1.96-0.01
6.0000e+063130-1.44-0.01
6.2000e+063231-0.89-0.01
6.4000e+063333-0.32-0.00
6.6000e+063534-0.73-0.00
6.8000e+063736-1.11-0.01
7.0000e+063938-1.47-0.01
7.2000e+064039-0.81-0.00
7.4000e+064141-0.12-0.00
7.6000e+064443-1.41-0.01
7.8000e+0644440.310.00
8.0000e+0645461.060.01
8.2000e+0646481.830.01
8.4000e+0649500.610.00
8.6000e+065251-0.58-0.00
8.8000e+065453-0.75-0.00
9.0000e+065655-0.91-0.00
9.2000e+065957-2.05-0.01
9.4000e+065959-0.17-0.00
9.6000e+066261-1.27-0.01
9.8000e+066363-0.35-0.00
1.0000e+076565-0.42-0.00
1.0500e+0766693.490.02
1.1000e+0769745.500.03
1.1500e+0775804.600.02
1.2000e+0782852.810.01
1.2500e+0787903.100.01
1.3000e+0792953.490.02
1.3500e+07961014.960.02
1.4000e+071001076.510.03
1.4500e+071071125.150.02
1.5000e+071141183.860.02
1.5500e+071191244.660.02
1.6000e+071271302.530.01
1.6500e+071301355.470.02
1.7000e+071341417.490.03
1.7500e+071401487.570.03
1.8000e+071451548.720.03
1.8500e+071551604.940.02
1.9000e+071581668.230.03
1.9500e+071631739.580.04
2.0000e+071701798.990.03
2.1000e+0718019212.000.04
2.2000e+0718820517.250.06
2.3000e+0719721921.730.08
2.4000e+0721123221.420.07
2.5000e+0722324623.330.08
2.6000e+0723626024.440.08
2.7000e+0724927525.750.08
2.8000e+0725728932.260.10
2.9000e+0727230431.950.10
3.0000e+0728731931.830.10
3.1000e+0729633437.880.12
3.2000e+0730734942.100.13
3.3000e+0732536439.490.12
3.4000e+0734038040.050.12
3.5000e+0735139644.760.13
3.6000e+0736141250.630.15
3.7000e+0737842849.660.14
3.8000e+0739244451.830.15
3.9000e+0740646054.140.15
4.0000e+0742247754.600.15
4.1000e+0744849345.200.12
4.2000e+0746651043.930.12
4.3000e+0748252744.800.12
4.4000e+0749054453.800.14
4.5000e+0750156159.930.16
4.6000e+0751857860.180.16
4.7000e+0753259663.550.16
4.8000e+0754261371.050.18
4.9000e+0755963171.670.18
5.0000e+0757964869.400.17
5.2000e+0762268462.210.15
5.4000e+0766372057.470.14
5.6000e+0771275745.160.11
5.8000e+0775379441.270.10
6.0000e+0779383238.780.09
6.2000e+0782887041.680.09
6.4000e+0786390844.970.10
6.6000e+0789994747.640.11
6.8000e+0794598640.660.09
7.0000e+07988102537.040.08
7.2000e+071020106544.760.10
7.4000e+071068110536.820.08
7.6000e+071117114528.210.06
7.8000e+071162118623.920.05
8.0000e+071201122725.940.05
8.2000e+071247126821.270.04
8.4000e+071278131031.900.06
8.6000e+071325135226.830.05
8.8000e+071378139416.040.03
9.0000e+071423143713.530.03
9.2000e+07147114798.310.02
9.4000e+07151715225.350.01
9.6000e+07156315662.660.00
9.8000e+07160016099.230.02
1.0000e+081641165312.060.02
1.0500e+08175617647.720.01
1.1000e+08187118764.900.01
1.1500e+0819911990-1.47-0.00
1.2000e+082073210531.540.05
1.2500e+08221122219.910.02
1.3000e+08233423394.560.01
1.3500e+082446245711.460.02
1.4000e+08257225785.580.01
1.4500e+0826992699-0.14-0.00
1.5000e+0828242821-2.73-0.00
1.5500e+08293629458.790.01
1.6000e+083056306913.370.02
1.6500e+08318931955.980.01
1.7000e+083305332216.610.02
1.7500e+083433344916.220.02
1.8000e+083555357822.780.03
1.8500e+083697370710.280.01
1.9000e+0838413838-3.31-0.00
1.9500e+08396739691.980.00
2.0000e+0841154101-13.85-0.02
2.1000e+08436243685.990.01
2.2000e+084610463828.090.04
2.3000e+08490349118.290.01
2.4000e+0851895187-1.52-0.00
2.5000e+0854855467-18.46-0.02
2.6000e+0857645748-15.64-0.02
2.7000e+0860506033-17.14-0.02
2.8000e+0863206320-0.07-0.00
2.9000e+0866176609-7.50-0.01
3.0000e+0869486901-46.52-0.05
3.1000e+0872477196-51.20-0.06
3.2000e+0875837492-90.61-0.10
3.3000e+0878697791-77.82-0.08
3.4000e+0881838092-90.88-0.10
3.5000e+0884878395-91.86-0.10
3.6000e+0888148700-113.81-0.12
3.7000e+0891109007-102.78-0.11
3.8000e+0893699316-52.82-0.05
3.9000e+0896519627-23.99-0.02
4.0000e+0899899940-49.31-0.05
4.1000e+081029510254-40.85-0.04
4.2000e+081061210570-41.63-0.04
4.3000e+081091610888-27.70-0.03
4.4000e+081126211208-54.09-0.05
4.5000e+081157711529-47.85-0.04
4.6000e+081187411852-21.99-0.02
4.7000e+081218312176-6.56-0.01
4.8000e+081252912502-26.59-0.02
4.9000e+081286312830-33.11-0.03
5.0000e+081318113159-22.14-0.02
5.2000e+0813819138212.130.00
5.4000e+0814482144897.020.01
5.6000e+0815154151628.330.01
5.8000e+08158251584115.880.01
6.0000e+08164651652459.490.05
6.2000e+08171631721350.010.04
6.4000e+08178701790636.290.03
6.6000e+08185911860413.190.01
6.8000e+08192781930728.580.02
7.0000e+08199792001334.330.03
7.2000e+08206862072438.320.03
7.4000e+08213872143952.450.04
7.6000e+08221312215927.600.02
7.8000e+08228422288239.680.03
8.0000e+08235492360959.600.04
8.2000e+08242822433957.250.04
8.4000e+08250232507450.550.04
8.6000e+08257622581149.430.03
8.8000e+082657526553-22.21-0.02
9.0000e+082732627298-28.42-0.02
9.2000e+082809628046-50.29-0.03
9.4000e+082883028797-32.89-0.02
9.6000e+082955229552-0.27-0.00
9.8000e+083033130309-21.52-0.01
1.0000e+093107831070-7.68-0.01
1.0500e+09329643298621.540.01
1.1000e+09348843491934.810.02
1.1500e+09368123686957.340.04
1.2000e+09387743883662.420.04
1.2500e+094070440819115.390.07
1.3000e+094263942818178.630.10
1.3500e+094460744831223.580.13
1.4000e+094655846858299.720.17
1.4500e+094859248899306.560.17
1.5000e+095066350953289.650.16
1.5500e+095268353020336.560.18
1.6000e+095479955099299.890.16
1.6500e+095680957190381.260.20
1.7000e+095887259293421.330.22
1.7500e+096105561408352.760.18
1.8000e+096318063533353.240.18
1.8500e+096528165669388.470.19
1.9000e+096743067816386.180.19
1.9500e+096962969973344.080.17
2.0000e+097186472140275.930.13
2.1000e+097633176503171.540.08
2.2000e+098071580902187.190.09
2.3000e+098516985337168.260.08
2.4000e+098968589806121.240.05
2.5000e+09942179430890.760.04
2.6000e+09987489884192.550.04
2.7000e+0910338310340320.440.01
2.8000e+091079861079959.340.00
2.9000e+09112632112615-16.77-0.01
3.0000e+09117363117262-100.81-0.04
3.1000e+09121948121935-12.69-0.00
3.2000e+09126738126634-104.21-0.04
3.3000e+09131581131357-224.17-0.09
3.4000e+09136342136104-238.28-0.09
3.5000e+09140993140874-119.23-0.04
3.6000e+09145794145666-127.68-0.05
3.7000e+09150524150481-43.23-0.02
3.8000e+09155432155317-115.47-0.04
3.9000e+09160271160173-97.95-0.03
4.0000e+09165127165050-77.19-0.03
4.1000e+09169986169946-39.69-0.01
4.2000e+09174888174862-25.92-0.01
4.3000e+09179800179797-3.33-0.00
4.4000e+0918473318475016.650.01
4.5000e+09189723189721-2.40-0.00
4.6000e+0919467619470933.130.01
4.7000e+0919963419971580.870.03
4.8000e+0920467020473767.450.02
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