Gap size : 166 (r=83)

Generated by program gapCounts : Mon Jun 27 12:46:26 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+02000.000.00
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+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+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+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+06000.000.00
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+06000.010.00
3.1000e+06000.010.00
3.2000e+06000.010.00
3.3000e+06000.010.00
3.4000e+06000.010.00
3.5000e+06000.010.00
3.6000e+06000.010.00
3.7000e+06000.010.00
3.8000e+06000.010.00
3.9000e+06000.010.00
4.0000e+06000.010.00
4.1000e+06000.010.00
4.2000e+06000.010.00
4.3000e+06000.010.00
4.4000e+06000.010.00
4.5000e+06000.010.00
4.6000e+06000.010.00
4.7000e+06000.010.00
4.8000e+06000.020.00
4.9000e+06000.020.00
5.0000e+06000.020.00
5.2000e+06000.020.00
5.4000e+06000.020.00
5.6000e+06000.020.00
5.8000e+06000.020.00
6.0000e+06000.030.00
6.2000e+06000.030.00
6.4000e+06000.030.00
6.6000e+06000.030.00
6.8000e+06000.030.00
7.0000e+06000.040.00
7.2000e+06000.040.00
7.4000e+06000.040.00
7.6000e+06000.040.00
7.8000e+06000.040.00
8.0000e+06000.050.00
8.2000e+06000.050.00
8.4000e+06000.050.00
8.6000e+06000.050.00
8.8000e+06000.060.00
9.0000e+06000.060.00
9.2000e+06000.060.00
9.4000e+06000.070.00
9.6000e+06000.070.00
9.8000e+06000.070.00
1.0000e+07000.070.00
1.0500e+07000.080.00
1.1000e+07000.090.00
1.1500e+07000.100.00
1.2000e+07000.110.00
1.2500e+07000.120.00
1.3000e+07000.130.00
1.3500e+07000.140.00
1.4000e+07000.150.00
1.4500e+07000.160.00
1.5000e+07000.170.00
1.5500e+07000.180.00
1.6000e+07000.190.00
1.6500e+07000.200.00
1.7000e+07000.210.00
1.7500e+07000.230.00
1.8000e+07000.240.00
1.8500e+07000.250.00
1.9000e+07000.270.00
1.9500e+07000.280.00
2.0000e+07000.290.00
2.1000e+07000.320.00
2.2000e+07000.350.00
2.3000e+07000.380.00
2.4000e+07000.410.00
2.5000e+07000.450.00
2.6000e+07000.480.00
2.7000e+07010.520.00
2.8000e+07010.550.00
2.9000e+07010.590.00
3.0000e+07010.630.00
3.1000e+07010.670.00
3.2000e+07010.710.00
3.3000e+07010.750.00
3.4000e+07010.790.00
3.5000e+07010.840.00
3.6000e+07010.880.00
3.7000e+07010.930.00
3.8000e+07010.970.00
3.9000e+07011.020.00
4.0000e+07011.070.00
4.1000e+07011.120.00
4.2000e+07011.160.00
4.3000e+07011.220.00
4.4000e+07011.270.00
4.5000e+07011.320.00
4.6000e+07011.370.00
4.7000e+07011.430.00
4.8000e+07011.480.00
4.9000e+07021.540.00
5.0000e+07021.590.00
5.2000e+07021.710.00
5.4000e+07021.830.00
5.6000e+07021.950.00
5.8000e+07022.070.00
6.0000e+07022.200.01
6.2000e+07022.330.01
6.4000e+07022.460.01
6.6000e+07032.600.01
6.8000e+07032.740.01
7.0000e+07032.880.01
7.2000e+07033.030.01
7.4000e+07033.170.01
7.6000e+07033.320.01
7.8000e+07033.480.01
8.0000e+07043.630.01
8.2000e+07043.790.01
8.4000e+07142.950.01
8.6000e+07143.110.01
8.8000e+07143.280.01
9.0000e+07143.450.01
9.2000e+07153.620.01
9.4000e+07153.790.01
9.6000e+07153.970.01
9.8000e+07154.140.01
1.0000e+08154.320.01
1.0500e+08164.780.01
1.1000e+08264.260.01
1.1500e+08274.740.01
1.2000e+08275.240.01
1.2500e+08285.760.01
1.3000e+08385.280.01
1.3500e+08395.820.01
1.4000e+08396.370.01
1.4500e+084105.940.01
1.5000e+085115.510.01
1.5500e+085116.100.01
1.6000e+086125.700.01
1.6500e+086126.300.01
1.7000e+088134.920.01
1.7500e+089144.550.01
1.8000e+089145.190.01
1.8500e+0810154.850.01
1.9000e+0810165.510.01
1.9500e+0811165.180.01
2.0000e+0813173.860.01
2.1000e+0814184.250.01
2.2000e+0815204.680.01
2.3000e+0818213.150.00
2.4000e+0819233.650.00
2.5000e+0819245.190.01
2.6000e+0824261.760.00
2.7000e+0825272.370.00
2.8000e+0826293.010.00
2.9000e+0826314.680.01
3.0000e+0827325.380.01
3.1000e+0829345.110.01
3.2000e+0830365.880.01
3.3000e+0834383.670.00
3.4000e+0838391.490.00
3.5000e+084241-0.66-0.00
3.6000e+0842431.220.00
3.7000e+0842453.120.00
3.8000e+0844473.050.00
3.9000e+0845494.010.00
4.0000e+0848513.000.00
4.1000e+0850533.010.00
4.2000e+0851554.040.00
4.3000e+0852575.100.00
4.4000e+0852597.190.01
4.5000e+0854617.300.01
4.6000e+0855638.430.01
4.7000e+0859666.590.01
4.8000e+0859688.760.01
4.9000e+0860709.970.01
5.0000e+08627210.190.01
5.2000e+08667710.710.01
5.4000e+08688113.310.01
5.6000e+08738613.000.01
5.8000e+08779113.770.01
6.0000e+08829613.620.01
6.2000e+088610114.550.01
6.4000e+089110614.560.01
6.6000e+089511115.640.01
6.8000e+0810411611.800.01
7.0000e+0810612115.030.01
7.2000e+0811012616.330.01
7.4000e+0811513216.700.01
7.6000e+0812213715.150.01
7.8000e+0812914313.650.01
8.0000e+0813214816.230.01
8.2000e+0813715416.870.01
8.4000e+0813716022.570.02
8.6000e+0814116524.340.02
8.8000e+0815017121.170.01
9.0000e+0815217725.060.02
9.2000e+0815918324.010.02
9.4000e+0816318926.020.02
9.6000e+0816719528.090.02
9.8000e+0817420127.220.02
1.0000e+0918220725.400.02
1.0500e+0919722326.110.02
1.1000e+0921023929.150.02
1.1500e+0922725628.520.02
1.2000e+0925027222.210.01
1.2500e+0926728922.210.01
1.3000e+0927930727.510.02
1.3500e+0930032424.100.01
1.4000e+0932534216.980.01
1.4500e+0934136019.130.01
1.5000e+0935537923.550.01
1.5500e+0937139726.240.01
1.6000e+0938041636.190.02
1.6500e+0940043535.390.02
1.7000e+0941945535.840.02
1.7500e+0944447530.530.02
1.8000e+0947149423.450.01
1.8500e+0948851526.610.01
1.9000e+0950753528.000.01
1.9500e+0952655629.610.01
2.0000e+0955357623.440.01
2.1000e+0960261916.740.01
2.2000e+0964166220.870.01
2.3000e+0969470611.800.01
2.4000e+097447516.510.00
2.5000e+09802796-6.02-0.00
2.6000e+098428420.180.00
2.7000e+098878892.090.00
2.8000e+09944937-7.30-0.00
2.9000e+09990985-5.02-0.00
3.0000e+0910411034-7.09-0.00
3.1000e+0910991083-15.51-0.01
3.2000e+0911641134-30.31-0.01
3.3000e+0912151184-30.50-0.01
3.4000e+0912651236-29.09-0.01
3.5000e+0913191288-31.10-0.01
3.6000e+0913701340-29.54-0.01
3.7000e+0914251394-31.42-0.01
3.8000e+0914641447-16.75-0.01
3.9000e+0915121501-10.54-0.00
4.0000e+0915691556-12.81-0.00
4.1000e+0916211611-9.56-0.00
4.2000e+0916711667-3.80-0.00
4.3000e+0917341723-10.55-0.00
4.4000e+0917951780-14.80-0.00
4.5000e+0918561837-18.58-0.01
4.6000e+0919001895-4.88-0.00
4.7000e+0919691953-15.72-0.01
4.8000e+0920292012-17.09-0.01
4.9000e+0920912071-20.02-0.01
5.0000e+0921562130-25.51-0.01
5.2000e+0922662251-15.18-0.00
5.4000e+0924002373-27.15-0.01
5.6000e+0925192497-22.48-0.01
5.8000e+0926572622-35.20-0.01
6.0000e+0927912749-42.37-0.01
6.2000e+0929052877-28.01-0.01
6.4000e+0930233007-16.18-0.00
6.6000e+0931463138-7.90-0.00
6.8000e+0932983271-27.21-0.01
7.0000e+0934313405-26.14-0.01
7.2000e+0935483540-7.72-0.00
7.4000e+0937053677-27.98-0.01
7.6000e+0938333815-17.95-0.00
7.8000e+0939683954-13.65-0.00
8.0000e+0940984095-3.12-0.00
8.2000e+09422742379.630.00
8.4000e+094358438021.580.01
8.6000e+094503452420.690.01
8.8000e+094647466921.960.01
9.0000e+094787481528.350.01
9.2000e+094923496339.850.01
9.4000e+095063511148.440.01
9.6000e+095205526156.100.01
9.8000e+095345541266.820.02
1.0000e+105488556475.580.02
1.0500e+105875594772.400.02
1.1000e+106281633756.360.01
1.1500e+106705673328.240.01
1.2000e+107110713524.830.01
1.2500e+10753575426.950.00
1.3000e+1079567954-1.58-0.00
1.3500e+1083908372-17.92-0.00
1.4000e+1088238795-28.23-0.01
1.4500e+1092999222-76.66-0.01
1.5000e+1097589655-103.34-0.02
1.5500e+101019910092-107.38-0.02
1.6000e+101063710533-103.93-0.02
1.6500e+101107010979-91.08-0.02
1.7000e+101153411429-104.95-0.02
1.7500e+101199711883-113.63-0.02
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