Gap size : 182 (r=91)

Generated by program gapCounts : Mon Jun 27 12:56:01 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+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+04000.000.00
1.1500e+04000.000.00
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+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+05000.000.00
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+06000.000.00
5.2000e+06000.000.00
5.4000e+06000.000.00
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+06000.010.00
8.4000e+06000.010.00
8.6000e+06000.010.00
8.8000e+06000.010.00
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+07000.020.00
1.1000e+07000.020.00
1.1500e+07000.030.00
1.2000e+07000.030.00
1.2500e+07000.030.00
1.3000e+07000.030.00
1.3500e+07000.040.00
1.4000e+07000.040.00
1.4500e+07000.040.00
1.5000e+07000.050.00
1.5500e+07000.050.00
1.6000e+07000.050.00
1.6500e+07000.060.00
1.7000e+07000.060.00
1.7500e+07000.060.00
1.8000e+07000.070.00
1.8500e+07000.070.00
1.9000e+07000.070.00
1.9500e+07000.080.00
2.0000e+07000.080.00
2.1000e+07000.090.00
2.2000e+07000.100.00
2.3000e+07000.110.00
2.4000e+07000.120.00
2.5000e+07000.130.00
2.6000e+07000.140.00
2.7000e+07000.150.00
2.8000e+07000.160.00
2.9000e+07000.180.00
3.0000e+07000.190.00
3.1000e+07000.200.00
3.2000e+07000.210.00
3.3000e+07000.230.00
3.4000e+07000.240.00
3.5000e+07000.250.00
3.6000e+07000.270.00
3.7000e+0710-0.72-0.00
3.8000e+0710-0.70-0.00
3.9000e+0710-0.69-0.00
4.0000e+0710-0.67-0.00
4.1000e+0710-0.66-0.00
4.2000e+0710-0.64-0.00
4.3000e+0710-0.62-0.00
4.4000e+0710-0.60-0.00
4.5000e+0710-0.59-0.00
4.6000e+0710-0.57-0.00
4.7000e+0710-0.55-0.00
4.8000e+0710-0.53-0.00
4.9000e+0710-0.52-0.00
5.0000e+0711-0.50-0.00
5.2000e+0711-0.46-0.00
5.4000e+0711-0.42-0.00
5.6000e+0711-0.38-0.00
5.8000e+0711-0.33-0.00
6.0000e+0711-0.29-0.00
6.2000e+0711-0.25-0.00
6.4000e+0711-0.20-0.00
6.6000e+0711-0.15-0.00
6.8000e+0711-0.10-0.00
7.0000e+0711-0.06-0.00
7.2000e+0711-0.00-0.00
7.4000e+07110.050.00
7.6000e+07110.100.00
7.8000e+07110.150.00
8.0000e+07110.210.00
8.2000e+07110.260.00
8.4000e+07110.320.00
8.6000e+07110.380.00
8.8000e+07110.440.00
9.0000e+07110.500.00
9.2000e+07120.560.00
9.4000e+07120.620.00
9.6000e+07120.680.00
9.8000e+07120.740.00
1.0000e+08120.810.00
1.0500e+08120.980.00
1.1000e+08121.150.00
1.1500e+08220.320.00
1.2000e+08230.510.00
1.2500e+0833-0.31-0.00
1.3000e+0833-0.11-0.00
1.3500e+08330.090.00
1.4000e+08330.290.00
1.4500e+08330.500.00
1.5000e+08340.710.00
1.5500e+08340.930.00
1.6000e+08341.160.00
1.6500e+08341.390.00
1.7000e+08450.620.00
1.7500e+08450.860.00
1.8000e+08550.100.00
1.8500e+08550.350.00
1.9000e+08560.600.00
1.9500e+08560.850.00
2.0000e+08561.110.00
2.1000e+0877-0.35-0.00
2.2000e+08107-2.80-0.00
2.3000e+08118-3.24-0.00
2.4000e+08128-3.65-0.00
2.5000e+08129-3.05-0.00
2.6000e+081310-3.44-0.00
2.7000e+081310-2.81-0.00
2.8000e+081511-4.17-0.00
2.9000e+081511-3.51-0.00
3.0000e+081512-2.84-0.00
3.1000e+081613-3.15-0.00
3.2000e+081714-3.45-0.00
3.3000e+081714-2.74-0.00
3.4000e+081715-2.01-0.00
3.5000e+082016-4.27-0.00
3.6000e+082216-5.52-0.01
3.7000e+082217-4.76-0.00
3.8000e+082218-3.98-0.00
3.9000e+082219-3.19-0.00
4.0000e+082420-4.39-0.00
4.1000e+082420-3.57-0.00
4.2000e+082421-2.75-0.00
4.3000e+082422-1.91-0.00
4.4000e+082423-1.06-0.00
4.5000e+082424-0.20-0.00
4.6000e+0824250.670.00
4.7000e+0824261.550.00
4.8000e+0824262.440.00
4.9000e+0826271.350.00
5.0000e+0826282.260.00
5.2000e+0829301.120.00
5.4000e+0831321.020.00
5.6000e+0833340.960.00
5.8000e+0833362.940.00
6.0000e+0834383.960.00
6.2000e+0837403.020.00
6.4000e+0841421.120.00
6.6000e+0843441.250.00
6.8000e+0844462.410.00
7.0000e+0846492.620.00
7.2000e+0849511.850.00
7.4000e+0851532.120.00
7.6000e+0852553.430.00
7.8000e+0854583.770.00
8.0000e+0856604.140.00
8.2000e+0858634.540.00
8.4000e+0859655.970.00
8.6000e+0865672.440.00
8.8000e+0868701.930.00
9.0000e+0869723.460.00
9.2000e+0872753.010.00
9.4000e+0873784.600.00
9.6000e+0875805.210.00
9.8000e+0875837.850.01
1.0000e+0980865.520.00
1.0500e+0986926.320.00
1.1000e+09899910.280.01
1.1500e+099610610.410.01
1.2000e+091071146.700.00
1.2500e+0911112110.150.01
1.3000e+091211297.750.00
1.3500e+091281368.490.00
1.4000e+091361448.380.00
1.4500e+0914115211.410.01
1.5000e+091511619.580.01
1.5500e+0915816910.890.01
1.6000e+0916417713.320.01
1.6500e+0917218613.890.01
1.7000e+0918119513.580.01
1.7500e+0919220311.400.01
1.8000e+0920121211.340.01
1.8500e+0920722114.400.01
1.9000e+0921623114.580.01
1.9500e+0922724012.870.01
2.0000e+0923824911.280.01
2.1000e+0925626812.430.01
2.2000e+0927428814.020.01
2.3000e+0929330815.020.01
2.4000e+0931232816.440.01
2.5000e+093433496.250.00
2.6000e+093653705.450.00
2.7000e+093853927.020.00
2.8000e+094064147.970.00
2.9000e+094334363.270.00
3.0000e+094554593.920.00
3.1000e+094754826.910.00
3.2000e+095025053.240.00
3.3000e+09530529-1.11-0.00
3.4000e+09556553-3.13-0.00
3.5000e+09579577-1.84-0.00
3.6000e+09605602-3.24-0.00
3.7000e+09632627-5.34-0.00
3.8000e+09653652-1.15-0.00
3.9000e+09688677-10.66-0.00
4.0000e+09712703-8.89-0.00
4.1000e+09735729-5.84-0.00
4.2000e+09756755-0.51-0.00
4.3000e+09784782-1.91-0.00
4.4000e+09811809-2.04-0.00
4.5000e+09846836-9.91-0.00
4.6000e+09881863-17.52-0.01
4.7000e+09905891-13.88-0.00
4.8000e+09935919-15.98-0.01
4.9000e+09972947-24.84-0.01
5.0000e+091003976-27.46-0.01
5.2000e+0910511033-17.97-0.01
5.4000e+0911111091-19.55-0.01
5.6000e+0911701151-19.22-0.01
5.8000e+0912341211-23.00-0.01
6.0000e+0912991272-26.91-0.01
6.2000e+0913561334-21.98-0.01
6.4000e+0914251397-28.23-0.01
6.6000e+0914821460-21.66-0.01
6.8000e+0915401525-15.31-0.00
7.0000e+0916111590-21.19-0.01
7.2000e+0916651656-9.31-0.00
7.4000e+0917321722-9.69-0.00
7.6000e+09178917900.660.00
7.8000e+09185118586.720.00
8.0000e+09192319263.480.00
8.2000e+09199319962.930.00
8.4000e+09205820668.050.00
8.6000e+0921372137-0.16-0.00
8.8000e+09219922089.280.00
9.0000e+092267228013.360.00
9.2000e+092335235318.070.00
9.4000e+092410242616.400.00
9.6000e+092487250013.340.00
9.8000e+092564257510.880.00
1.0000e+102639265011.020.00
1.0500e+102828284012.390.00
1.1000e+102999303435.290.01
1.1500e+103195323236.590.01
1.2000e+103390343242.180.01
1.2500e+103598363637.960.01
1.3000e+103807384335.840.01
1.3500e+104028405324.730.00
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