Gap size : 152 (r=76)

Generated by program gapCounts : Mon Jun 27 12:46:07 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+02000.000.00
3.0000e+02000.000.00
4.0000e+02000.000.00
5.0000e+02000.000.00
6.0000e+02000.000.00
7.0000e+02000.000.00
8.0000e+02000.000.00
9.0000e+02000.000.00
1.0000e+03000.000.00
1.1000e+03000.000.00
1.2000e+03000.000.00
1.3000e+03000.000.00
1.4000e+03000.000.00
1.5000e+03000.000.00
1.6000e+03000.000.00
1.7000e+03000.000.00
1.8000e+03000.000.00
1.9000e+03000.000.00
2.0000e+03000.000.00
2.1000e+03000.000.00
2.2000e+03000.000.00
2.3000e+03000.000.00
2.4000e+03000.000.00
2.5000e+03000.000.00
2.6000e+03000.000.00
2.7000e+03000.000.00
2.8000e+03000.000.00
2.9000e+03000.000.00
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+03000.000.00
4.0000e+03000.000.00
4.1000e+03000.000.00
4.2000e+03000.000.00
4.3000e+03000.000.00
4.4000e+03000.000.00
4.5000e+03000.000.00
4.6000e+03000.000.00
4.7000e+03000.000.00
4.8000e+03000.000.00
4.9000e+03000.000.00
5.0000e+03000.000.00
5.2000e+03000.000.00
5.4000e+03000.000.00
5.6000e+03000.000.00
5.8000e+03000.000.00
6.0000e+03000.000.00
6.2000e+03000.000.00
6.4000e+03000.000.00
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+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+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+05000.000.00
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+06000.010.00
1.7500e+06000.010.00
1.8000e+06000.010.00
1.8500e+06000.010.00
1.9000e+06000.010.00
1.9500e+06000.010.00
2.0000e+06000.010.00
2.1000e+06000.010.00
2.2000e+06000.010.00
2.3000e+06000.010.00
2.4000e+06000.010.00
2.5000e+06000.010.00
2.6000e+06000.010.00
2.7000e+06000.010.00
2.8000e+06000.020.00
2.9000e+06000.020.00
3.0000e+06000.020.00
3.1000e+06000.020.00
3.2000e+06000.020.00
3.3000e+06000.020.00
3.4000e+06000.020.00
3.5000e+06000.030.00
3.6000e+06000.030.00
3.7000e+06000.030.00
3.8000e+06000.030.00
3.9000e+06000.030.00
4.0000e+06000.040.00
4.1000e+06000.040.00
4.2000e+06000.040.00
4.3000e+06000.040.00
4.4000e+06000.040.00
4.5000e+06000.050.00
4.6000e+06000.050.00
4.7000e+06000.050.00
4.8000e+06000.050.00
4.9000e+06000.050.00
5.0000e+06000.060.00
5.2000e+06000.060.00
5.4000e+06000.070.00
5.6000e+06000.070.00
5.8000e+06000.080.00
6.0000e+06000.080.00
6.2000e+06000.090.00
6.4000e+06000.090.00
6.6000e+06000.100.00
6.8000e+06000.110.00
7.0000e+06000.110.00
7.2000e+06000.120.00
7.4000e+06000.130.00
7.6000e+06000.130.00
7.8000e+06000.140.00
8.0000e+06000.150.00
8.2000e+06000.150.00
8.4000e+06000.160.00
8.6000e+0610-0.83-0.00
8.8000e+0610-0.82-0.00
9.0000e+0610-0.81-0.00
9.2000e+0610-0.81-0.00
9.4000e+0610-0.80-0.00
9.6000e+0610-0.79-0.00
9.8000e+0610-0.78-0.00
1.0000e+0710-0.77-0.00
1.0500e+0710-0.75-0.00
1.1000e+0710-0.73-0.00
1.1500e+0710-0.70-0.00
1.2000e+0710-0.68-0.00
1.2500e+0710-0.65-0.00
1.3000e+0710-0.62-0.00
1.3500e+0710-0.59-0.00
1.4000e+0710-0.56-0.00
1.4500e+0710-0.54-0.00
1.5000e+0711-0.50-0.00
1.5500e+0711-0.47-0.00
1.6000e+0711-0.44-0.00
1.6500e+0711-0.41-0.00
1.7000e+0711-0.37-0.00
1.7500e+0711-0.34-0.00
1.8000e+0721-1.30-0.01
1.8500e+0721-1.27-0.00
1.9000e+0721-1.23-0.00
1.9500e+0721-1.19-0.00
2.0000e+0721-1.16-0.00
2.1000e+0721-1.08-0.00
2.2000e+0721-0.99-0.00
2.3000e+0721-0.91-0.00
2.4000e+0721-0.82-0.00
2.5000e+0721-0.73-0.00
2.6000e+0721-0.64-0.00
2.7000e+0721-0.55-0.00
2.8000e+0722-0.45-0.00
2.9000e+0722-0.35-0.00
3.0000e+0722-0.24-0.00
3.1000e+0722-0.14-0.00
3.2000e+0722-0.03-0.00
3.3000e+07220.080.00
3.4000e+07220.190.00
3.5000e+07220.300.00
3.6000e+07220.420.00
3.7000e+07230.540.00
3.8000e+0743-1.34-0.00
3.9000e+0743-1.22-0.00
4.0000e+0743-1.09-0.00
4.1000e+0743-0.96-0.00
4.2000e+0743-0.83-0.00
4.3000e+0753-1.70-0.00
4.4000e+0753-1.57-0.00
4.5000e+0754-1.43-0.00
4.6000e+0754-1.30-0.00
4.7000e+0754-1.16-0.00
4.8000e+0754-1.02-0.00
4.9000e+0754-0.87-0.00
5.0000e+0754-0.73-0.00
5.2000e+0755-0.43-0.00
5.4000e+0755-0.13-0.00
5.6000e+07550.180.00
5.8000e+0766-0.50-0.00
6.0000e+0776-1.17-0.00
6.2000e+0776-0.84-0.00
6.4000e+0796-2.51-0.01
6.6000e+07107-3.16-0.01
6.8000e+07127-4.81-0.01
7.0000e+07128-4.45-0.01
7.2000e+07128-4.09-0.01
7.4000e+07138-4.72-0.01
7.6000e+07139-4.34-0.01
7.8000e+07139-3.96-0.01
8.0000e+07139-3.57-0.01
8.2000e+071610-6.18-0.01
8.4000e+071810-7.78-0.02
8.6000e+071811-7.38-0.01
8.8000e+071811-6.97-0.01
9.0000e+071811-6.55-0.01
9.2000e+071912-7.13-0.01
9.4000e+071912-6.70-0.01
9.6000e+072013-7.27-0.01
9.8000e+072013-6.83-0.01
1.0000e+082014-6.39-0.01
1.0500e+082015-5.27-0.01
1.1000e+082216-6.11-0.01
1.1500e+082517-7.92-0.01
1.2000e+082518-6.70-0.01
1.2500e+082620-6.46-0.01
1.3000e+082721-6.18-0.01
1.3500e+082922-6.88-0.01
1.4000e+083423-10.55-0.02
1.4500e+083725-12.20-0.02
1.5000e+083726-10.82-0.02
1.5500e+083928-11.42-0.02
1.6000e+084329-13.99-0.02
1.6500e+084430-13.54-0.02
1.7000e+084632-14.06-0.02
1.7500e+084933-15.56-0.02
1.8000e+085235-17.04-0.02
1.8500e+085337-16.50-0.02
1.9000e+085638-17.93-0.02
1.9500e+085640-16.35-0.02
2.0000e+086041-18.74-0.03
2.1000e+086545-20.46-0.03
2.2000e+086648-18.10-0.02
2.3000e+087051-18.67-0.02
2.4000e+087255-17.16-0.02
2.5000e+087758-18.57-0.02
2.6000e+087962-16.91-0.02
2.7000e+088466-18.19-0.02
2.8000e+089070-20.39-0.02
2.9000e+089573-21.53-0.02
3.0000e+0810077-22.60-0.03
3.1000e+0810581-23.61-0.03
3.2000e+0811285-26.55-0.03
3.3000e+0811490-24.44-0.03
3.4000e+0812294-28.26-0.03
3.5000e+0812598-27.03-0.03
3.6000e+08131102-28.74-0.03
3.7000e+08137107-30.39-0.03
3.8000e+08141111-29.99-0.03
3.9000e+08148115-32.53-0.03
4.0000e+08151120-31.02-0.03
4.1000e+08154125-29.46-0.03
4.2000e+08157129-27.85-0.03
4.3000e+08166134-32.18-0.03
4.4000e+08169139-30.47-0.03
4.5000e+08174143-30.70-0.03
4.6000e+08177148-28.89-0.03
4.7000e+08179153-26.03-0.02
4.8000e+08186158-28.12-0.03
4.9000e+08192163-29.17-0.03
5.0000e+08195168-27.17-0.02
5.2000e+08203178-25.04-0.02
5.4000e+08213188-24.73-0.02
5.6000e+08229199-30.25-0.03
5.8000e+08238209-28.60-0.02
6.0000e+08256220-35.80-0.03
6.2000e+08272231-40.83-0.03
6.4000e+08278242-35.71-0.03
6.6000e+08285254-31.44-0.02
6.8000e+08299265-34.02-0.03
7.0000e+08317277-40.45-0.03
7.2000e+08329288-40.75-0.03
7.4000e+08338300-37.90-0.03
7.6000e+08350312-37.92-0.03
7.8000e+08365324-40.80-0.03
8.0000e+08374336-37.55-0.03
8.2000e+08394349-45.18-0.03
8.4000e+08404361-42.67-0.03
8.6000e+08415374-41.05-0.03
8.8000e+08429387-42.30-0.03
9.0000e+08443400-43.43-0.03
9.2000e+08455413-42.44-0.03
9.4000e+08468426-42.33-0.03
9.6000e+08476439-37.11-0.02
9.8000e+08489452-36.78-0.02
1.0000e+09506466-40.33-0.03
1.0500e+09525500-25.24-0.02
1.1000e+09567535-32.49-0.02
1.1500e+09593570-23.10-0.01
1.2000e+09617606-11.09-0.01
1.2500e+09658643-15.49-0.01
1.3000e+09698680-18.30-0.01
1.3500e+09744717-26.54-0.02
1.4000e+09777756-21.24-0.01
1.4500e+09807795-12.40-0.01
1.5000e+09844834-10.04-0.01
1.5500e+09889874-15.17-0.01
1.6000e+09924914-9.81-0.01
1.6500e+09967955-11.97-0.01
1.7000e+091005996-8.65-0.00
1.7500e+0910501038-11.87-0.01
1.8000e+0910951080-14.64-0.01
1.8500e+0911391123-15.97-0.01
1.9000e+0911871166-20.86-0.01
1.9500e+0912481210-38.33-0.02
2.0000e+0912881254-34.38-0.02
2.1000e+0913801343-37.27-0.02
2.2000e+0914801433-46.59-0.02
2.3000e+0915731526-47.39-0.02
2.4000e+0916471619-27.72-0.01
2.5000e+0917451714-30.64-0.01
2.6000e+0918521811-41.17-0.02
2.7000e+0919471909-38.38-0.02
2.8000e+0920442008-36.28-0.01
2.9000e+0921382108-29.93-0.01
3.0000e+0922492210-39.35-0.02
3.1000e+0923612312-48.58-0.02
3.2000e+0924562416-39.64-0.02
3.3000e+0925592521-37.57-0.01
3.4000e+0926642628-36.40-0.01
3.5000e+0927742735-39.14-0.01
3.6000e+0928822843-38.82-0.01
3.7000e+0929892953-36.46-0.01
3.8000e+0931013063-38.10-0.01
3.9000e+0932073174-32.74-0.01
4.0000e+0932983287-11.41-0.00
4.1000e+0934103400-10.13-0.00
4.2000e+09351435140.080.00
4.3000e+093618362911.220.00
4.4000e+093722374523.250.01
4.5000e+093851386211.160.00
4.6000e+093956398023.940.01
4.7000e+094083409915.570.01
4.8000e+0942244218-5.96-0.00
4.9000e+0943614338-22.67-0.01
5.0000e+09445944590.440.00
5.2000e+09470047044.020.00
5.4000e+094915495236.700.01
5.6000e+095155520247.380.01
5.8000e+095426545629.970.01
6.0000e+095699571213.390.00
6.2000e+095954597217.560.01
6.4000e+096222623311.420.00
6.6000e+09649064987.890.00
6.8000e+096745676519.920.01
7.0000e+097000703434.430.01
7.2000e+097248730658.380.02
7.4000e+097502758178.700.02
7.6000e+097779785778.350.02
7.8000e+098071813665.280.02
8.0000e+098361841756.430.01
8.2000e+098660870140.760.01
8.4000e+098931898655.230.01
8.6000e+099240927433.800.01
8.8000e+099541956322.420.01
9.0000e+099843985512.070.00
9.2000e+0910142101496.690.00
9.4000e+09104111044433.260.01
9.6000e+09107211074220.750.00
9.8000e+09109931104148.110.01
1.0000e+10113071134235.320.01
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