Gap size : 194 (r=97)

Generated by program gapCounts : Mon Jun 27 12:56:18 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+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+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+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+040-0-0.00-0.00
1.9000e+040-0-0.00-0.00
1.9500e+040-0-0.00-0.00
2.0000e+040-0-0.00-0.00
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+06000.000.00
5.8000e+06000.000.00
6.0000e+06000.000.00
6.2000e+06000.000.00
6.4000e+06000.000.00
6.6000e+06000.000.00
6.8000e+06000.000.00
7.0000e+06000.000.00
7.2000e+06000.000.00
7.4000e+06000.000.00
7.6000e+06000.000.00
7.8000e+06000.000.00
8.0000e+06000.000.00
8.2000e+06000.000.00
8.4000e+06000.000.00
8.6000e+06000.000.00
8.8000e+06000.000.00
9.0000e+06000.000.00
9.2000e+06000.000.00
9.4000e+06000.010.00
9.6000e+06000.010.00
9.8000e+06000.010.00
1.0000e+07000.010.00
1.0500e+07000.010.00
1.1000e+07000.010.00
1.1500e+07000.010.00
1.2000e+07000.010.00
1.2500e+07000.010.00
1.3000e+07000.010.00
1.3500e+07000.010.00
1.4000e+07000.010.00
1.4500e+07000.010.00
1.5000e+07000.010.00
1.5500e+07000.020.00
1.6000e+07000.020.00
1.6500e+07000.020.00
1.7000e+07000.020.00
1.7500e+07000.020.00
1.8000e+07000.020.00
1.8500e+07000.020.00
1.9000e+07000.020.00
1.9500e+07000.030.00
2.0000e+07000.030.00
2.1000e+07000.030.00
2.2000e+07000.030.00
2.3000e+07000.040.00
2.4000e+07000.040.00
2.5000e+07000.040.00
2.6000e+07000.050.00
2.7000e+07000.050.00
2.8000e+07000.050.00
2.9000e+07000.060.00
3.0000e+07000.060.00
3.1000e+07000.070.00
3.2000e+07000.070.00
3.3000e+07000.080.00
3.4000e+07000.080.00
3.5000e+07000.090.00
3.6000e+07000.090.00
3.7000e+07000.100.00
3.8000e+07000.100.00
3.9000e+07000.110.00
4.0000e+07000.110.00
4.1000e+07000.120.00
4.2000e+07000.120.00
4.3000e+07000.130.00
4.4000e+07000.140.00
4.5000e+07000.140.00
4.6000e+07000.150.00
4.7000e+07000.150.00
4.8000e+07000.160.00
4.9000e+07000.170.00
5.0000e+07000.170.00
5.2000e+07000.190.00
5.4000e+07000.200.00
5.6000e+07000.220.00
5.8000e+07000.230.00
6.0000e+07000.250.00
6.2000e+07000.270.00
6.4000e+07000.280.00
6.6000e+07000.300.00
6.8000e+07000.320.00
7.0000e+07000.340.00
7.2000e+07000.350.00
7.4000e+07000.370.00
7.6000e+07000.390.00
7.8000e+07000.410.00
8.0000e+07000.430.00
8.2000e+07000.450.00
8.4000e+07000.470.00
8.6000e+07000.490.00
8.8000e+07010.520.00
9.0000e+07010.540.00
9.2000e+07010.560.00
9.4000e+07010.580.00
9.6000e+07010.610.00
9.8000e+07010.630.00
1.0000e+08010.660.00
1.0500e+08010.720.00
1.1000e+08010.780.00
1.1500e+08010.850.00
1.2000e+08010.920.00
1.2500e+08010.990.00
1.3000e+08011.060.00
1.3500e+08011.140.00
1.4000e+08011.210.00
1.4500e+08011.290.00
1.5000e+08011.380.00
1.5500e+08011.460.00
1.6000e+08021.540.00
1.6500e+08021.630.00
1.7000e+08120.720.00
1.7500e+08120.810.00
1.8000e+08120.910.00
1.8500e+08121.000.00
1.9000e+08121.100.00
1.9500e+08220.200.00
2.0000e+08220.300.00
2.1000e+08230.510.00
2.2000e+08230.720.00
2.3000e+0833-0.06-0.00
2.4000e+08330.170.00
2.5000e+08330.400.00
2.6000e+08340.640.00
2.7000e+08340.890.00
2.8000e+08341.140.00
2.9000e+08440.400.00
3.0000e+08450.670.00
3.1000e+08450.940.00
3.2000e+08550.220.00
3.3000e+08550.500.00
3.4000e+08560.790.00
3.5000e+08561.080.00
3.6000e+08561.380.00
3.7000e+08571.680.00
3.8000e+08670.990.00
3.9000e+08671.310.00
4.0000e+08681.630.00
4.1000e+08681.960.00
4.2000e+08682.290.00
4.3000e+08692.620.00
4.4000e+08692.960.00
4.5000e+08891.310.00
4.6000e+088101.660.00
4.7000e+088102.020.00
4.8000e+088102.380.00
4.9000e+088112.740.00
5.0000e+088113.110.00
5.2000e+088123.860.00
5.4000e+088134.630.00
5.6000e+089134.420.00
5.8000e+0810144.230.00
6.0000e+0811154.050.00
6.2000e+0811164.890.00
6.4000e+0812174.740.00
6.6000e+0812185.610.00
6.8000e+0813185.500.00
7.0000e+0814195.400.00
7.2000e+0815205.320.00
7.4000e+0815216.250.00
7.6000e+0816226.200.00
7.8000e+0819234.160.00
8.0000e+0819245.140.00
8.2000e+0819256.130.00
8.4000e+0819267.130.01
8.6000e+0819278.150.01
8.8000e+0822286.180.00
9.0000e+0826293.230.00
9.2000e+0826304.280.00
9.4000e+0827314.360.00
9.6000e+0827325.440.00
9.8000e+0830343.540.00
1.0000e+0932352.650.00
1.0500e+093937-1.52-0.00
1.1000e+094140-0.62-0.00
1.1500e+094543-1.64-0.00
1.2000e+094746-0.59-0.00
1.2500e+095150-1.47-0.00
1.3000e+095653-3.28-0.00
1.3500e+096556-9.02-0.01
1.4000e+096959-9.70-0.01
1.4500e+097363-10.32-0.01
1.5000e+097766-10.87-0.01
1.5500e+098070-10.36-0.01
1.6000e+098373-9.79-0.01
1.6500e+098677-9.16-0.00
1.7000e+099081-9.48-0.00
1.7500e+099884-13.73-0.01
1.8000e+0910088-11.93-0.01
1.8500e+0910192-9.08-0.00
1.9000e+0910696-10.17-0.00
1.9500e+09107100-7.21-0.00
2.0000e+09109104-5.19-0.00
2.1000e+09115112-3.01-0.00
2.2000e+09122120-1.63-0.00
2.3000e+09133129-4.06-0.00
2.4000e+09142138-4.29-0.00
2.5000e+09152147-5.35-0.00
2.6000e+09157156-1.22-0.00
2.7000e+09170165-4.92-0.00
2.8000e+09186175-11.45-0.00
2.9000e+09202184-17.81-0.01
3.0000e+09212194-18.01-0.01
3.1000e+09223204-19.05-0.01
3.2000e+09231214-16.93-0.01
3.3000e+09244224-19.66-0.01
3.4000e+09262235-27.24-0.01
3.5000e+09267245-21.68-0.01
3.6000e+09278256-21.97-0.01
3.7000e+09288267-21.11-0.01
3.8000e+09297278-19.12-0.01
3.9000e+09308289-19.00-0.01
4.0000e+09314300-13.73-0.00
4.1000e+09325312-13.34-0.00
4.2000e+09341323-17.82-0.01
4.3000e+09354335-19.17-0.01
4.4000e+09364347-17.39-0.01
4.5000e+09377359-18.49-0.01
4.6000e+09387371-16.46-0.01
4.7000e+09395383-12.32-0.00
4.8000e+09408395-13.06-0.00
4.9000e+09422407-14.68-0.00
5.0000e+09433420-13.18-0.00
5.2000e+09462445-16.85-0.01
5.4000e+09482471-11.08-0.00
5.6000e+09513497-15.87-0.00
5.8000e+09535524-11.24-0.00
6.0000e+09574551-23.20-0.01
6.2000e+09601578-22.75-0.01
6.4000e+09626606-19.92-0.01
6.6000e+09651634-16.69-0.00
6.8000e+09682663-19.09-0.01
7.0000e+09705692-13.12-0.00
7.2000e+09732721-10.79-0.00
7.4000e+09760751-9.10-0.00
7.6000e+09789781-8.06-0.00
7.8000e+09816811-4.68-0.00
8.0000e+09845842-2.97-0.00
8.2000e+09874873-0.92-0.00
8.4000e+09906904-1.55-0.00
8.6000e+09943936-6.86-0.00
8.8000e+09976968-7.85-0.00
9.0000e+0910041000-3.54-0.00
9.2000e+0910371033-3.92-0.00
9.4000e+0910681066-2.00-0.00
9.6000e+09109510994.220.00
9.8000e+091122113310.720.00
1.0000e+10116511671.520.00
1.0500e+1012571252-4.77-0.00
1.1000e+1013501340-10.35-0.00
1.1500e+1014461429-17.28-0.00
1.2000e+1015451519-25.60-0.01
1.2500e+1016371612-25.37-0.01
1.3000e+1017341705-28.63-0.01
1.3500e+1018251801-24.43-0.00
1.4000e+1019231897-25.79-0.01
1.4500e+1020191995-23.76-0.00
1.5000e+1021462095-51.38-0.01
1.5500e+1022562195-60.67-0.01
1.6000e+1023632297-65.66-0.01
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