Gap size : 186 (r=93)

Generated by program gapCounts : Mon Jun 27 12:56:07 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+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+030-0-0.00-0.00
9.4000e+030-0-0.00-0.00
9.6000e+030-0-0.00-0.00
9.8000e+030-0-0.00-0.00
1.0000e+040-0-0.00-0.00
1.0500e+040-0-0.00-0.00
1.1000e+040-0-0.00-0.00
1.1500e+040-0-0.00-0.00
1.2000e+040-0-0.00-0.00
1.2500e+040-0-0.00-0.00
1.3000e+040-0-0.00-0.00
1.3500e+040-0-0.00-0.00
1.4000e+040-0-0.00-0.00
1.4500e+040-0-0.00-0.00
1.5000e+040-0-0.00-0.00
1.5500e+040-0-0.00-0.00
1.6000e+040-0-0.00-0.00
1.6500e+040-0-0.00-0.00
1.7000e+040-0-0.00-0.00
1.7500e+040-0-0.00-0.00
1.8000e+040-0-0.00-0.00
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+05000.000.00
3.1000e+05000.000.00
3.2000e+05000.000.00
3.3000e+05000.000.00
3.4000e+05000.000.00
3.5000e+05000.000.00
3.6000e+05000.000.00
3.7000e+05000.000.00
3.8000e+05000.000.00
3.9000e+05000.000.00
4.0000e+05000.000.00
4.1000e+05000.000.00
4.2000e+05000.000.00
4.3000e+05000.000.00
4.4000e+05000.000.00
4.5000e+05000.000.00
4.6000e+05000.000.00
4.7000e+05000.000.00
4.8000e+05000.000.00
4.9000e+05000.000.00
5.0000e+05000.000.00
5.2000e+05000.000.00
5.4000e+05000.000.00
5.6000e+05000.000.00
5.8000e+05000.000.00
6.0000e+05000.000.00
6.2000e+05000.000.00
6.4000e+05000.000.00
6.6000e+05000.000.00
6.8000e+05000.000.00
7.0000e+05000.000.00
7.2000e+05000.000.00
7.4000e+05000.000.00
7.6000e+05000.000.00
7.8000e+05000.000.00
8.0000e+05000.000.00
8.2000e+05000.000.00
8.4000e+05000.000.00
8.6000e+05000.000.00
8.8000e+05000.000.00
9.0000e+05000.000.00
9.2000e+05000.000.00
9.4000e+05000.000.00
9.6000e+05000.000.00
9.8000e+05000.000.00
1.0000e+06000.000.00
1.0500e+06000.000.00
1.1000e+06000.000.00
1.1500e+06000.000.00
1.2000e+06000.000.00
1.2500e+06000.000.00
1.3000e+06000.000.00
1.3500e+06000.000.00
1.4000e+06000.000.00
1.4500e+06000.000.00
1.5000e+06000.000.00
1.5500e+06000.000.00
1.6000e+06000.000.00
1.6500e+06000.000.00
1.7000e+06000.000.00
1.7500e+06000.000.00
1.8000e+06000.000.00
1.8500e+06000.000.00
1.9000e+06000.000.00
1.9500e+06000.000.00
2.0000e+06000.000.00
2.1000e+06000.000.00
2.2000e+06000.000.00
2.3000e+06000.000.00
2.4000e+06000.000.00
2.5000e+06000.000.00
2.6000e+06000.000.00
2.7000e+06000.000.00
2.8000e+06000.000.00
2.9000e+06000.000.00
3.0000e+06000.000.00
3.1000e+06000.000.00
3.2000e+06000.000.00
3.3000e+06000.000.00
3.4000e+06000.000.00
3.5000e+06000.000.00
3.6000e+06000.000.00
3.7000e+06000.000.00
3.8000e+06000.000.00
3.9000e+06000.000.00
4.0000e+06000.000.00
4.1000e+06000.000.00
4.2000e+06000.000.00
4.3000e+06000.000.00
4.4000e+06000.000.00
4.5000e+06000.000.00
4.6000e+06000.000.00
4.7000e+06000.000.00
4.8000e+06000.000.00
4.9000e+06000.000.00
5.0000e+06000.010.00
5.2000e+06000.010.00
5.4000e+06000.010.00
5.6000e+06000.010.00
5.8000e+06000.010.00
6.0000e+06000.010.00
6.2000e+06000.010.00
6.4000e+06000.010.00
6.6000e+06000.010.00
6.8000e+06000.010.00
7.0000e+06000.010.00
7.2000e+06000.010.00
7.4000e+06000.010.00
7.6000e+06000.010.00
7.8000e+06000.010.00
8.0000e+06000.010.00
8.2000e+06000.020.00
8.4000e+06000.020.00
8.6000e+06000.020.00
8.8000e+06000.020.00
9.0000e+06000.020.00
9.2000e+06000.020.00
9.4000e+06000.020.00
9.6000e+06000.020.00
9.8000e+06000.020.00
1.0000e+07000.020.00
1.0500e+07000.030.00
1.1000e+07000.030.00
1.1500e+07000.030.00
1.2000e+07000.040.00
1.2500e+07000.040.00
1.3000e+07000.040.00
1.3500e+07000.050.00
1.4000e+07000.050.00
1.4500e+07000.060.00
1.5000e+07000.060.00
1.5500e+07000.060.00
1.6000e+07000.070.00
1.6500e+07000.070.00
1.7000e+07000.080.00
1.7500e+07000.080.00
1.8000e+07000.090.00
1.8500e+07000.090.00
1.9000e+07000.100.00
1.9500e+07000.100.00
2.0000e+07000.110.00
2.1000e+07000.120.00
2.2000e+07000.130.00
2.3000e+07000.140.00
2.4000e+07000.160.00
2.5000e+07000.170.00
2.6000e+07000.180.00
2.7000e+07000.200.00
2.8000e+07000.210.00
2.9000e+07000.230.00
3.0000e+07000.250.00
3.1000e+07000.260.00
3.2000e+07000.280.00
3.3000e+07000.300.00
3.4000e+07000.310.00
3.5000e+07000.330.00
3.6000e+07000.350.00
3.7000e+07000.370.00
3.8000e+07000.390.00
3.9000e+07000.410.00
4.0000e+07000.430.00
4.1000e+07000.450.00
4.2000e+07000.470.00
4.3000e+07010.500.00
4.4000e+07010.520.00
4.5000e+07010.540.00
4.6000e+07010.570.00
4.7000e+07010.590.00
4.8000e+07010.610.00
4.9000e+07010.640.00
5.0000e+07010.660.00
5.2000e+07010.720.00
5.4000e+07010.770.00
5.6000e+07010.820.00
5.8000e+07010.880.00
6.0000e+07010.940.00
6.2000e+07011.000.00
6.4000e+07011.060.00
6.6000e+07011.120.00
6.8000e+07011.190.00
7.0000e+07011.250.00
7.2000e+07011.320.00
7.4000e+07011.390.00
7.6000e+07011.460.00
7.8000e+07021.530.00
8.0000e+07021.600.00
8.2000e+07021.680.00
8.4000e+07021.750.00
8.6000e+07021.830.00
8.8000e+07021.910.00
9.0000e+07021.990.00
9.2000e+07022.070.00
9.4000e+07022.150.00
9.6000e+07022.240.00
9.8000e+07022.320.00
1.0000e+08022.410.00
1.0500e+08032.630.00
1.1000e+08032.860.01
1.1500e+08033.100.01
1.2000e+08033.340.01
1.2500e+08043.590.01
1.3000e+08043.850.01
1.3500e+08044.120.01
1.4000e+08044.400.01
1.4500e+08054.680.01
1.5000e+08153.970.01
1.5500e+08154.260.01
1.6000e+08164.560.01
1.6500e+08164.870.01
1.7000e+08264.190.01
1.7500e+08274.510.01
1.8000e+08373.830.01
1.8500e+08374.170.01
1.9000e+08384.510.01
1.9500e+08384.850.01
2.0000e+08385.200.01
2.1000e+08395.920.01
2.2000e+085104.670.01
2.3000e+086104.440.01
2.4000e+087114.220.01
2.5000e+088124.030.00
2.6000e+088134.870.01
2.7000e+088145.720.01
2.8000e+089155.590.01
2.9000e+0811154.480.01
3.0000e+0812164.390.00
3.1000e+0812175.320.01
3.2000e+0812186.270.01
3.3000e+0812197.240.01
3.4000e+0815205.230.01
3.5000e+0815216.230.01
3.6000e+0816226.260.01
3.7000e+0818235.300.01
3.8000e+0819245.350.01
3.9000e+0820255.430.01
4.0000e+0821275.520.01
4.1000e+0821286.630.01
4.2000e+0822296.750.01
4.3000e+0822307.890.01
4.4000e+0822319.050.01
4.5000e+0824328.220.01
4.6000e+0825338.400.01
4.7000e+0829355.610.01
4.8000e+0830365.820.01
4.9000e+0832375.060.00
5.0000e+0833385.300.00
5.2000e+0834416.840.01
5.4000e+0837436.440.01
5.6000e+0839467.090.01
5.8000e+0841497.790.01
6.0000e+0845526.550.01
6.2000e+0848546.360.01
6.4000e+0854573.230.00
6.6000e+0857603.140.00
6.8000e+0858635.110.00
7.0000e+0860666.120.00
7.2000e+0862697.180.01
7.4000e+0864728.290.01
7.6000e+08657510.440.01
7.8000e+08687910.650.01
8.0000e+0872829.890.01
8.2000e+08748511.180.01
8.4000e+08768912.520.01
8.6000e+08779214.900.01
8.8000e+08789517.320.01
9.0000e+08829916.780.01
9.2000e+088710215.280.01
9.4000e+089210613.830.01
9.6000e+089510914.420.01
9.8000e+089811315.040.01
1.0000e+0910111715.710.01
1.0500e+0911412612.040.01
1.1000e+0912013615.610.01
1.1500e+0913114514.410.01
1.2000e+0914415511.430.01
1.2500e+091561669.670.01
1.3000e+091731763.120.00
1.3500e+091821874.780.00
1.4000e+091881989.640.01
1.4500e+0919820910.700.01
1.5000e+0920622013.950.01
1.5500e+0922123110.390.01
1.6000e+092362437.020.00
1.6500e+092472557.830.00
1.7000e+092652671.820.00
1.7500e+092772791.980.00
1.8000e+09292291-0.69-0.00
1.8500e+09304304-0.18-0.00
1.9000e+09318316-1.52-0.00
1.9500e+093273292.310.00
2.0000e+093423420.310.00
2.1000e+09369369-0.24-0.00
2.2000e+09396396-0.18-0.00
2.3000e+0941242311.470.01
2.4000e+0943945212.700.01
2.5000e+094714809.490.00
2.6000e+0949251017.820.01
2.7000e+0952454015.680.01
2.8000e+095645706.060.00
2.9000e+095976013.940.00
3.0000e+096306322.320.00
3.1000e+09668664-3.82-0.00
3.2000e+09704697-7.49-0.00
3.3000e+09737729-7.70-0.00
3.4000e+097617631.540.00
3.5000e+097907966.230.00
3.6000e+098258305.350.00
3.7000e+098648650.890.00
3.8000e+09910900-10.14-0.00
3.9000e+09946935-10.77-0.00
4.0000e+09977971-5.99-0.00
4.1000e+0999810079.190.00
4.2000e+091029104414.750.01
4.3000e+09107110819.700.00
4.4000e+091108111810.030.00
4.5000e+09114711568.730.00
4.6000e+09118811945.790.00
4.7000e+09123112321.210.00
4.8000e+0912721271-1.01-0.00
4.9000e+09130613104.120.00
5.0000e+09134713502.590.00
5.2000e+09142414305.550.00
5.4000e+09150815112.830.00
5.6000e+091574159319.400.01
5.8000e+091654167723.230.01
6.0000e+091734176228.280.01
6.2000e+091820184928.530.01
6.4000e+091905193630.950.01
6.6000e+091993202531.510.01
6.8000e+092076211438.190.01
7.0000e+092180220524.960.01
7.2000e+092269229727.810.01
7.4000e+092353239036.710.01
7.6000e+092466248417.640.00
7.8000e+092555257923.580.01
8.0000e+092647267527.520.01
8.2000e+092751277120.430.01
8.4000e+09286028699.300.00
8.6000e+09296829680.110.00
8.8000e+0930743068-6.16-0.00
9.0000e+09316331685.490.00
9.2000e+09327032700.030.00
9.4000e+0933773372-4.54-0.00
9.6000e+0934763476-0.25-0.00
9.8000e+093567358012.900.00
1.0000e+10368336851.890.00
1.0500e+10394239518.970.00
1.1000e+10422142221.060.00
1.1500e+1045234498-25.01-0.01
1.2000e+1047974779-18.39-0.00
1.2500e+1050965064-32.24-0.01
1.3000e+1053885353-34.67-0.01
1.3500e+1056655647-17.82-0.00
1.4000e+1059695945-23.81-0.00
1.4500e+1062536247-5.74-0.00
1.5000e+1065766553-22.73-0.00
1.5500e+1068796863-15.86-0.00
1.6000e+10716771779.760.00
1.6500e+1075047494-9.94-0.00
1.7000e+1078357815-20.05-0.00
1.7500e+1081568139-16.66-0.00
1.8000e+1084998467-31.84-0.01
1.8500e+1088438798-44.65-0.01
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