Gap size : 118 (r=59)

Generated by program gapCounts : Mon Jun 27 12:45:19 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+020-0-0.00-0.00
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+030-0-0.00-0.00
3.1000e+030-0-0.00-0.00
3.2000e+030-0-0.00-0.00
3.3000e+030-0-0.00-0.00
3.4000e+030-0-0.00-0.00
3.5000e+030-0-0.00-0.00
3.6000e+030-0-0.00-0.00
3.7000e+030-0-0.00-0.00
3.8000e+030-0-0.00-0.00
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+030-0-0.00-0.00
6.8000e+030-0-0.00-0.00
7.0000e+030-0-0.00-0.00
7.2000e+030-0-0.00-0.00
7.4000e+030-0-0.00-0.00
7.6000e+030-0-0.00-0.00
7.8000e+030-0-0.00-0.00
8.0000e+030-0-0.00-0.00
8.2000e+030-0-0.00-0.00
8.4000e+030-0-0.00-0.00
8.6000e+030-0-0.00-0.00
8.8000e+030-0-0.00-0.00
9.0000e+030-0-0.00-0.00
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+04000.000.00
8.0000e+04000.000.00
8.2000e+04000.000.00
8.4000e+04000.000.00
8.6000e+04000.000.00
8.8000e+04000.000.00
9.0000e+04000.000.00
9.2000e+04000.000.00
9.4000e+04000.000.00
9.6000e+04000.000.00
9.8000e+04000.000.00
1.0000e+05000.000.00
1.0500e+05000.000.00
1.1000e+05000.000.00
1.1500e+05000.000.00
1.2000e+05000.000.00
1.2500e+05000.000.00
1.3000e+05000.000.00
1.3500e+05000.000.00
1.4000e+05000.000.00
1.4500e+05000.000.00
1.5000e+05000.000.00
1.5500e+05000.000.00
1.6000e+05000.000.00
1.6500e+05000.000.00
1.7000e+05000.000.00
1.7500e+05000.000.00
1.8000e+05000.000.00
1.8500e+05000.000.00
1.9000e+05000.000.00
1.9500e+05000.000.00
2.0000e+05000.000.00
2.1000e+05000.000.00
2.2000e+05000.000.00
2.3000e+05000.000.00
2.4000e+05000.000.00
2.5000e+05000.000.00
2.6000e+05000.000.00
2.7000e+05000.000.00
2.8000e+05000.000.00
2.9000e+05000.000.00
3.0000e+05000.010.00
3.1000e+05000.010.00
3.2000e+05000.010.00
3.3000e+05000.010.00
3.4000e+05000.010.00
3.5000e+05000.010.00
3.6000e+05000.010.00
3.7000e+05000.010.00
3.8000e+05000.010.00
3.9000e+05000.010.00
4.0000e+05000.010.00
4.1000e+05000.010.00
4.2000e+05000.010.00
4.3000e+05000.010.00
4.4000e+05000.010.00
4.5000e+05000.010.00
4.6000e+05000.010.00
4.7000e+05000.020.00
4.8000e+05000.020.00
4.9000e+05000.020.00
5.0000e+05000.020.00
5.2000e+05000.020.00
5.4000e+05000.020.00
5.6000e+05000.020.00
5.8000e+05000.020.00
6.0000e+05000.030.00
6.2000e+05000.030.00
6.4000e+05000.030.00
6.6000e+05000.030.00
6.8000e+05000.040.00
7.0000e+05000.040.00
7.2000e+05000.040.00
7.4000e+05000.040.00
7.6000e+05000.050.00
7.8000e+05000.050.00
8.0000e+05000.050.00
8.2000e+05000.050.00
8.4000e+05000.060.00
8.6000e+05000.060.00
8.8000e+05000.060.00
9.0000e+05000.060.00
9.2000e+05000.070.00
9.4000e+05000.070.00
9.6000e+05000.070.00
9.8000e+05000.080.00
1.0000e+06000.080.00
1.0500e+06000.090.00
1.1000e+06000.100.00
1.1500e+06000.110.00
1.2000e+06000.120.00
1.2500e+06000.130.00
1.3000e+06000.140.00
1.3500e+0610-0.85-0.01
1.4000e+0610-0.84-0.01
1.4500e+0610-0.83-0.01
1.5000e+0610-0.82-0.01
1.5500e+0610-0.80-0.01
1.6000e+0610-0.79-0.01
1.6500e+0610-0.78-0.01
1.7000e+0610-0.76-0.01
1.7500e+0610-0.75-0.01
1.8000e+0610-0.74-0.01
1.8500e+0610-0.72-0.01
1.9000e+0610-0.71-0.01
1.9500e+0610-0.69-0.01
2.0000e+0610-0.68-0.01
2.1000e+0610-0.64-0.01
2.2000e+0610-0.61-0.01
2.3000e+0610-0.58-0.01
2.4000e+0610-0.54-0.01
2.5000e+0610-0.51-0.00
2.6000e+0611-0.47-0.00
2.7000e+0611-0.43-0.00
2.8000e+0611-0.39-0.00
2.9000e+0611-0.35-0.00
3.0000e+0611-0.31-0.00
3.1000e+0611-0.26-0.00
3.2000e+0611-0.22-0.00
3.3000e+0611-0.17-0.00
3.4000e+0611-0.13-0.00
3.5000e+0611-0.08-0.00
3.6000e+0611-0.03-0.00
3.7000e+06110.020.00
3.8000e+06110.070.00
3.9000e+06110.120.00
4.0000e+06110.170.00
4.1000e+06110.220.00
4.2000e+06110.280.00
4.3000e+06110.330.00
4.4000e+06110.390.00
4.5000e+06110.450.00
4.6000e+06120.500.00
4.7000e+0622-0.44-0.00
4.8000e+0622-0.38-0.00
4.9000e+0622-0.32-0.00
5.0000e+0622-0.26-0.00
5.2000e+0622-0.14-0.00
5.4000e+0622-0.01-0.00
5.6000e+06220.120.00
5.8000e+06220.260.00
6.0000e+06220.390.00
6.2000e+0633-0.47-0.00
6.4000e+0643-1.33-0.01
6.6000e+0643-1.18-0.01
6.8000e+0643-1.03-0.01
7.0000e+0643-0.88-0.01
7.2000e+0643-0.73-0.00
7.4000e+0643-0.57-0.00
7.6000e+0644-0.42-0.00
7.8000e+0644-0.26-0.00
8.0000e+0644-0.09-0.00
8.2000e+06440.070.00
8.4000e+06440.240.00
8.6000e+06440.410.00
8.8000e+06450.590.00
9.0000e+06450.760.00
9.2000e+06450.940.00
9.4000e+06451.120.01
9.6000e+06451.310.01
9.8000e+06451.490.01
1.0000e+07461.680.01
1.0500e+07462.150.01
1.1000e+07670.650.00
1.1500e+07671.150.01
1.2000e+07681.670.01
1.2500e+07682.190.01
1.3000e+07692.730.01
1.3500e+07792.290.01
1.4000e+077102.850.01
1.4500e+077103.420.01
1.5000e+078113.010.01
1.5500e+078123.610.02
1.6000e+079123.210.01
1.6500e+0711131.830.01
1.7000e+0711132.450.01
1.7500e+0711143.090.01
1.8000e+0711153.740.01
1.8500e+0711154.390.02
1.9000e+0711165.060.02
1.9500e+0711175.730.02
2.0000e+0712175.410.02
2.1000e+0712196.800.03
2.2000e+0714206.230.02
2.3000e+0716225.680.02
2.4000e+0716237.170.02
2.5000e+0717257.690.03
2.6000e+0719267.240.02
2.7000e+0723284.820.02
2.8000e+0725294.430.01
2.9000e+0727314.070.01
3.0000e+0730332.730.01
3.1000e+0732342.420.01
3.2000e+0734362.130.01
3.3000e+0737380.870.00
3.4000e+0739400.640.00
3.5000e+074241-0.57-0.00
3.6000e+074443-0.76-0.00
3.7000e+0745450.080.00
3.8000e+0746470.940.00
3.9000e+0746492.820.01
4.0000e+0749511.720.00
4.1000e+0750532.650.01
4.2000e+0750554.600.01
4.3000e+0752574.560.01
4.4000e+0755593.550.01
4.5000e+0756614.560.01
4.6000e+0762630.590.00
4.7000e+0764650.630.00
4.8000e+076767-0.30-0.00
4.9000e+077169-2.21-0.01
5.0000e+077371-2.11-0.01
5.2000e+077875-2.85-0.01
5.4000e+078279-2.51-0.01
5.6000e+078684-2.11-0.01
5.8000e+079288-3.64-0.01
6.0000e+079593-2.11-0.00
6.2000e+079997-1.51-0.00
6.4000e+071011021.160.00
6.6000e+071061070.880.00
6.8000e+071111120.660.00
7.0000e+07120117-3.50-0.01
7.2000e+07124121-2.60-0.01
7.4000e+07131126-4.65-0.01
7.6000e+07136131-4.64-0.01
7.8000e+07138136-1.58-0.00
8.0000e+071401421.540.00
8.2000e+071441472.710.01
8.4000e+071501521.920.00
8.6000e+071511576.190.01
8.8000e+0715216310.500.02
9.0000e+0715316814.860.03
9.2000e+0716117312.270.02
9.4000e+0716617912.730.02
9.6000e+071751849.230.02
9.8000e+0717819011.780.02
1.0000e+0818119514.360.03
1.0500e+0819821011.530.02
1.1000e+0821122412.950.02
1.1500e+0822223916.620.03
1.2000e+0823725416.540.03
1.2500e+0825426914.690.02
1.3000e+0826628418.070.03
1.3500e+0828430015.670.03
1.4000e+0830131514.480.02
1.4500e+0831933212.500.02
1.5000e+0833034817.720.03
1.5500e+0834736417.140.03
1.6000e+0836238118.750.03
1.6500e+0837839819.550.03
1.7000e+0839541519.530.03
1.7500e+0841243219.690.03
1.8000e+0843644913.020.02
1.8500e+0845446712.520.02
1.9000e+0846948415.190.02
1.9500e+0848050222.010.03
2.0000e+0850152019.000.03
2.1000e+0853555621.440.03
2.2000e+0857059323.480.03
2.3000e+0860163130.100.04
2.4000e+0864766922.280.03
2.5000e+0868370824.990.03
2.6000e+0871174736.220.04
2.7000e+0874778739.950.05
2.8000e+0878282745.180.05
2.9000e+0882486843.870.05
3.0000e+0886090949.030.06
3.1000e+0889095160.630.07
3.2000e+0893999353.670.06
3.3000e+08992103543.130.05
3.4000e+081044107834.000.04
3.5000e+081090112131.280.03
3.6000e+081131116533.950.04
3.7000e+081172120937.000.04
3.8000e+081198125355.430.06
3.9000e+081242129856.230.06
4.0000e+081286134357.380.06
4.1000e+081321138967.890.07
4.2000e+081359143575.740.07
4.3000e+081398148182.930.08
4.4000e+081438152789.440.08
4.5000e+081483157491.290.09
4.6000e+081535162186.450.08
4.7000e+081580166988.920.08
4.8000e+081618171798.700.09
4.9000e+081667176597.780.09
5.0000e+0817081813105.160.09
5.2000e+0818031911107.780.09
5.4000e+081910201099.530.09
5.6000e+082018210991.370.08
5.8000e+082117221093.260.08
6.0000e+082217231295.180.08
6.2000e+082320241595.100.08
6.4000e+082420251998.990.08
6.6000e+082526262497.810.08
6.8000e+082641273088.560.07
7.0000e+082758283678.200.06
7.2000e+082872294471.710.05
7.4000e+082981305271.080.05
7.6000e+083112316149.280.04
7.8000e+083217327154.290.04
8.0000e+083335338247.090.03
8.2000e+083439349454.670.04
8.4000e+083556360650.010.04
8.6000e+083668371951.100.04
8.8000e+083771383361.920.04
9.0000e+083898394749.450.03
9.2000e+084019406343.690.03
9.4000e+084146417932.610.02
9.6000e+084249429546.210.03
9.8000e+084373441239.480.03
1.0000e+094502453028.390.02
1.0500e+094805482822.960.01
1.1000e+095081512948.360.03
1.1500e+095387543447.440.03
1.2000e+095703574340.060.02
1.2500e+096003605552.090.03
1.3000e+096320637050.420.03
1.3500e+096635668953.920.03
1.4000e+096935701075.490.04
1.4500e+097237733598.050.05
1.5000e+0975487662114.480.06
1.5500e+0978517993141.720.08
1.6000e+0982068326119.680.06
1.6500e+0985068661155.280.08
1.7000e+0988748999125.460.06
1.7500e+0992249340116.140.06
1.8000e+0995369683147.260.07
1.8500e+09986910029159.760.08
1.9000e+091019110377185.590.09
1.9500e+091052210727204.690.10
2.0000e+091086311079216.000.10
2.1000e+091159411790196.080.09
2.2000e+091226712509242.460.11
2.3000e+091298313237253.800.11
2.4000e+091373713972234.790.10
2.5000e+091450114714213.130.09
2.6000e+091530015464163.580.07
2.7000e+091602516220194.870.08
2.8000e+091677616983206.780.09
2.9000e+091754417752208.100.08
3.0000e+091831118528216.620.09
3.1000e+091910519309204.160.08
3.2000e+091991320097183.550.07
3.3000e+092068020890209.600.08
3.4000e+092146121688227.180.09
3.5000e+092227022492222.120.08
3.6000e+092310923301192.300.07
3.7000e+092394024116175.580.06
3.8000e+092477524935159.830.06
3.9000e+092564325759115.930.04
4.0000e+09265122658875.770.03
4.1000e+09273292742192.250.03
4.2000e+09281932825966.250.02
4.3000e+09290482910253.690.02
4.4000e+09299072994841.450.01
4.5000e+0930793307996.470.00
4.6000e+09316343165520.640.01
4.7000e+09325003251413.890.00
4.8000e+09333643337713.130.00
4.9000e+0934237342447.300.00
5.0000e+0935109351156.310.00
5.2000e+09368273686941.580.01
5.4000e+09385633863673.430.02
5.6000e+094027340418145.350.04
5.8000e+094210842214105.880.03
6.0000e+09439244402398.590.03
6.2000e+094567145844173.060.05
6.4000e+094751347678164.920.05
6.6000e+094935749524166.820.05
6.8000e+095116451381217.410.06
7.0000e+095299953250251.370.07
7.2000e+095495555130175.400.05
7.4000e+095690557021116.220.03
7.6000e+09588435892379.560.02
7.8000e+09607716083463.160.02
8.0000e+09627366275619.780.01
8.2000e+0964685646872.170.00
8.4000e+09665786662850.130.01
8.6000e+096844368578135.440.03
8.8000e+09704797053858.890.01
9.0000e+09724757250631.300.01
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