Gap size : 116 (r=58)

Generated by program gapCounts : Mon Jun 27 12:45:16 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+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+04000.000.00
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+05000.010.00
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+05000.020.00
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+05000.030.00
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+05000.060.00
8.4000e+05000.060.00
8.6000e+05000.060.00
8.8000e+05000.060.00
9.0000e+05000.070.00
9.2000e+05000.070.00
9.4000e+05000.070.00
9.6000e+05000.080.00
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+06000.160.00
1.4000e+06000.170.00
1.4500e+06000.180.00
1.5000e+06000.190.00
1.5500e+06000.200.00
1.6000e+06000.220.00
1.6500e+06000.230.00
1.7000e+06000.240.00
1.7500e+06000.260.00
1.8000e+06000.270.00
1.8500e+06000.290.00
1.9000e+06000.300.00
1.9500e+06000.320.00
2.0000e+06000.330.00
2.1000e+06000.370.00
2.2000e+06000.400.00
2.3000e+06000.440.00
2.4000e+06000.470.00
2.5000e+06010.510.00
2.6000e+06010.550.01
2.7000e+06010.590.01
2.8000e+06010.630.01
2.9000e+06010.670.01
3.0000e+06010.720.01
3.1000e+06010.760.01
3.2000e+06010.810.01
3.3000e+06010.850.01
3.4000e+06010.900.01
3.5000e+06010.950.01
3.6000e+06011.000.01
3.7000e+06011.050.01
3.8000e+06011.100.01
3.9000e+06011.150.01
4.0000e+06011.210.01
4.1000e+06011.260.01
4.2000e+06011.320.01
4.3000e+06011.370.01
4.4000e+06011.430.01
4.5000e+06011.490.01
4.6000e+06021.550.01
4.7000e+06021.610.01
4.8000e+06021.670.01
4.9000e+06021.730.01
5.0000e+06021.790.01
5.2000e+06021.920.01
5.4000e+06022.050.01
5.6000e+06022.180.01
5.8000e+06022.320.02
6.0000e+06121.460.01
6.2000e+06131.600.01
6.4000e+06131.750.01
6.6000e+06131.900.01
6.8000e+06231.050.01
7.0000e+06231.210.01
7.2000e+06231.360.01
7.4000e+06340.520.00
7.6000e+06340.690.00
7.8000e+0644-0.15-0.00
8.0000e+06440.020.00
8.2000e+06440.190.00
8.4000e+06440.360.00
8.6000e+06450.540.00
8.8000e+0655-0.28-0.00
9.0000e+0655-0.10-0.00
9.2000e+0665-0.92-0.00
9.4000e+0665-0.74-0.00
9.6000e+0665-0.55-0.00
9.8000e+0666-0.36-0.00
1.0000e+0776-1.17-0.01
1.0500e+0776-0.68-0.00
1.1000e+0777-0.17-0.00
1.1500e+0797-1.66-0.01
1.2000e+07108-2.13-0.01
1.2500e+07118-2.59-0.01
1.3000e+07119-2.03-0.01
1.3500e+071210-2.47-0.01
1.4000e+071210-1.89-0.01
1.4500e+071211-1.30-0.01
1.5000e+071211-0.70-0.00
1.5500e+071412-2.09-0.01
1.6000e+071513-2.47-0.01
1.6500e+071513-1.84-0.01
1.7000e+071614-2.20-0.01
1.7500e+071614-1.54-0.01
1.8000e+071715-1.88-0.01
1.8500e+071716-1.21-0.00
1.9000e+071716-0.53-0.00
1.9500e+0717170.160.00
2.0000e+0717180.860.00
2.1000e+0718191.280.00
2.2000e+0719211.740.01
2.3000e+0720222.230.01
2.4000e+0722241.760.01
2.5000e+0724251.310.00
2.6000e+0724272.900.01
2.7000e+0725293.520.01
2.8000e+0729301.160.00
2.9000e+0729322.840.01
3.0000e+0730343.540.01
3.1000e+0731354.270.01
3.2000e+0735372.020.01
3.3000e+0735393.810.01
3.4000e+0736414.610.01
3.5000e+0736426.440.02
3.6000e+0738446.300.02
3.7000e+0738468.180.02
3.8000e+0744484.080.01
3.9000e+0747503.000.01
4.0000e+0747524.950.01
4.1000e+0749544.920.01
4.2000e+0751564.910.01
4.3000e+0754583.930.01
4.4000e+0755604.960.01
4.5000e+0757625.010.01
4.6000e+0762642.090.01
4.7000e+0763663.180.01
4.8000e+0764684.290.01
4.9000e+0766704.430.01
5.0000e+0768734.580.01
5.2000e+0770776.940.02
5.4000e+0779812.370.01
5.6000e+0779866.870.02
5.8000e+0781909.440.02
6.0000e+0793952.080.00
6.2000e+07100100-0.22-0.00
6.4000e+071011053.550.01
6.6000e+071061093.380.01
6.8000e+071081146.270.01
7.0000e+071131196.220.01
7.2000e+071221242.220.00
7.4000e+071231296.290.01
7.6000e+0712313411.410.02
7.8000e+0712914010.580.02
8.0000e+071351459.810.02
8.2000e+0713915011.090.02
8.4000e+071461559.420.02
8.6000e+071511619.800.02
8.8000e+071581668.230.02
9.0000e+0716117210.710.02
9.2000e+0716417713.240.03
9.4000e+071731839.810.02
9.6000e+071791889.440.02
9.8000e+071861948.100.02
1.0000e+081912008.810.02
1.0500e+0820321411.280.02
1.1000e+082202299.020.02
1.1500e+0822924415.010.03
1.2000e+0824525914.250.02
1.2500e+0825927515.730.03
1.3000e+0827129019.440.03
1.3500e+0829130615.380.02
1.4000e+0830532317.530.03
1.4500e+0831933919.890.03
1.5000e+0834135514.460.02
1.5500e+083663726.230.01
1.6000e+0837838911.200.02
1.6500e+0838940617.350.03
1.7000e+0840342420.690.03
1.7500e+0842644115.210.02
1.8000e+0844145917.910.03
1.8500e+0845847718.780.03
1.9000e+0847449520.820.03
1.9500e+0849251321.030.03
2.0000e+0851053121.400.03
2.1000e+0855156917.610.02
2.2000e+085986068.430.01
2.3000e+0863264512.840.02
2.4000e+0866768416.810.02
2.5000e+0870872315.330.02
2.6000e+0875076313.380.02
2.7000e+0879080413.950.02
2.8000e+088398456.010.01
2.9000e+088778879.550.01
3.0000e+089219297.560.01
3.1000e+089689713.030.00
3.2000e+0810201014-6.07-0.01
3.3000e+0810671057-9.73-0.01
3.4000e+0811111101-9.97-0.01
3.5000e+0811551145-9.80-0.01
3.6000e+0811971190-7.23-0.01
3.7000e+08123312351.740.00
3.8000e+08127712803.080.00
3.9000e+0813351326-9.20-0.01
4.0000e+0813751372-3.12-0.00
4.1000e+0814261418-7.68-0.01
4.2000e+0814771465-11.89-0.01
4.3000e+0815361512-23.76-0.02
4.4000e+0815931560-33.29-0.03
4.5000e+0816431608-35.49-0.03
4.6000e+0817031656-47.36-0.04
4.7000e+0817551704-50.92-0.05
4.8000e+0818211753-68.17-0.06
4.9000e+0818681802-66.10-0.06
5.0000e+0819101851-58.74-0.05
5.2000e+0820231951-72.13-0.06
5.4000e+0821202052-68.38-0.06
5.6000e+0821922153-38.51-0.03
5.8000e+0822912256-34.57-0.03
6.0000e+0824092360-48.59-0.04
6.2000e+0825082465-42.59-0.03
6.4000e+0826172571-45.60-0.04
6.6000e+0827112678-32.66-0.03
6.8000e+0828312786-44.78-0.03
7.0000e+0829442895-48.99-0.04
7.2000e+0830453005-40.31-0.03
7.4000e+0831533115-37.77-0.03
7.6000e+0832773227-50.38-0.04
7.8000e+0833993339-60.16-0.04
8.0000e+0835233452-71.13-0.05
8.2000e+0836323566-66.31-0.05
8.4000e+0837473680-66.72-0.05
8.6000e+0838643796-68.37-0.05
8.8000e+0840063912-94.28-0.07
9.0000e+0841294029-100.45-0.07
9.2000e+0842454146-98.92-0.07
9.4000e+0843534264-88.68-0.06
9.6000e+0844614383-77.75-0.05
9.8000e+0845834503-80.15-0.05
1.0000e+0947104623-86.89-0.06
1.0500e+0950064927-79.40-0.05
1.1000e+0953125234-78.01-0.05
1.1500e+0956315545-85.88-0.05
1.2000e+0959325860-72.14-0.04
1.2500e+0962466178-67.93-0.04
1.3000e+0965516500-51.37-0.03
1.3500e+0968356824-10.58-0.01
1.4000e+097130715222.350.01
1.4500e+0974867483-2.70-0.00
1.5000e+0978287817-10.82-0.01
1.5500e+098140815413.920.01
1.6000e+098475849318.420.01
1.6500e+098824883611.620.01
1.7000e+099155918025.430.01
1.7500e+0995349528-6.21-0.00
1.8000e+09987198786.640.00
1.8500e+091024610230-16.09-0.01
1.9000e+091061610585-31.45-0.02
1.9500e+091099510941-53.51-0.03
2.0000e+091138511301-84.31-0.04
2.1000e+091213512026-109.35-0.05
2.2000e+091280112759-41.94-0.02
2.3000e+091350513501-4.43-0.00
2.4000e+09142031425046.860.02
2.5000e+09149801500726.640.01
2.6000e+09157281577142.640.02
2.7000e+09165171654224.610.01
2.8000e+09172851731934.310.01
2.9000e+09180551810448.530.02
3.0000e+09188451889449.060.02
3.1000e+091957219691118.710.05
3.2000e+092036720493126.310.05
3.3000e+09212022130299.680.04
3.4000e+09220422211673.670.03
3.5000e+09228922293543.120.02
3.6000e+09237122376047.890.02
3.7000e+09244922459097.850.04
3.8000e+09253332542591.870.03
3.9000e+09261692626595.830.03
4.0000e+092697127110138.610.05
4.1000e+092779627959163.100.06
4.2000e+092868828813125.200.04
4.3000e+092954929672122.810.04
4.4000e+093038730535147.820.05
4.5000e+093120731402195.160.06
4.6000e+093210932274164.720.05
4.7000e+093296133149188.430.06
4.8000e+093386734029162.210.05
4.9000e+093474134913171.980.05
5.0000e+093563735801163.650.05
5.2000e+093746437587123.460.04
5.4000e+093919339389196.090.06
5.6000e+094100041205205.030.06
5.8000e+094278143035253.820.07
6.0000e+094461544878263.020.08
6.2000e+094648046734254.200.07
6.4000e+094833348603269.980.08
6.6000e+095013450484350.010.10
6.8000e+095203252377344.920.09
7.0000e+095396354281318.410.09
7.2000e+095591856197279.170.07
7.4000e+095789058124233.890.06
7.6000e+095988660061175.320.05
7.8000e+096181762009192.180.05
8.0000e+096381563967152.230.04
8.2000e+096577165935164.230.04
8.4000e+096772667913186.950.05
8.6000e+096969969900201.190.05
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