Gap size : 188 (r=94)

Generated by program gapCounts : Mon Jun 27 12:56:10 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+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+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+040-0-0.00-0.00
1.8000e+040-0-0.00-0.00
1.8500e+040-0-0.00-0.00
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+06000.000.00
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+06000.010.00
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+06000.010.00
9.2000e+06000.010.00
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+07000.020.00
1.3000e+07000.020.00
1.3500e+07000.020.00
1.4000e+07000.020.00
1.4500e+07000.020.00
1.5000e+07000.020.00
1.5500e+07000.020.00
1.6000e+07000.030.00
1.6500e+07000.030.00
1.7000e+07000.030.00
1.7500e+07000.030.00
1.8000e+07000.030.00
1.8500e+07000.030.00
1.9000e+07000.040.00
1.9500e+07000.040.00
2.0000e+07000.040.00
2.1000e+07000.050.00
2.2000e+07000.050.00
2.3000e+07000.050.00
2.4000e+07000.060.00
2.5000e+07000.060.00
2.6000e+07000.070.00
2.7000e+07000.080.00
2.8000e+07000.080.00
2.9000e+07000.090.00
3.0000e+07000.090.00
3.1000e+07000.100.00
3.2000e+07000.110.00
3.3000e+07000.110.00
3.4000e+07000.120.00
3.5000e+07000.130.00
3.6000e+07000.140.00
3.7000e+07000.140.00
3.8000e+07000.150.00
3.9000e+07000.160.00
4.0000e+07000.170.00
4.1000e+07000.170.00
4.2000e+07000.180.00
4.3000e+07000.190.00
4.4000e+07000.200.00
4.5000e+07000.210.00
4.6000e+07000.220.00
4.7000e+07000.230.00
4.8000e+07000.240.00
4.9000e+07000.250.00
5.0000e+07000.260.00
5.2000e+07000.280.00
5.4000e+07000.300.00
5.6000e+07000.320.00
5.8000e+07000.340.00
6.0000e+07000.360.00
6.2000e+07000.390.00
6.4000e+07000.410.00
6.6000e+07000.440.00
6.8000e+07000.460.00
7.0000e+07000.490.00
7.2000e+07010.510.00
7.4000e+07010.540.00
7.6000e+07010.570.00
7.8000e+07010.600.00
8.0000e+07010.630.00
8.2000e+07010.650.00
8.4000e+07010.680.00
8.6000e+07010.720.00
8.8000e+07010.750.00
9.0000e+07010.780.00
9.2000e+07010.810.00
9.4000e+07010.840.00
9.6000e+07010.880.00
9.8000e+07010.910.00
1.0000e+08010.940.00
1.0500e+08011.030.00
1.1000e+08011.120.00
1.1500e+08011.220.00
1.2000e+08011.310.00
1.2500e+08011.420.00
1.3000e+08021.520.00
1.3500e+08120.620.00
1.4000e+08120.730.00
1.4500e+08120.850.00
1.5000e+08120.960.00
1.5500e+08121.080.00
1.6000e+08121.200.00
1.6500e+08121.320.00
1.7000e+08121.450.00
1.7500e+08131.580.00
1.8000e+08131.710.00
1.8500e+08131.840.00
1.9000e+08131.980.00
1.9500e+08132.110.00
2.0000e+08132.260.00
2.1000e+08142.540.00
2.2000e+08142.840.00
2.3000e+08143.150.00
2.4000e+08143.470.00
2.5000e+08153.790.00
2.6000e+08154.130.00
2.7000e+08253.470.00
2.8000e+08263.820.00
2.9000e+08264.180.00
3.0000e+08274.550.01
3.1000e+08274.920.01
3.2000e+08473.300.00
3.3000e+08483.690.00
3.4000e+08583.090.00
3.5000e+08583.500.00
3.6000e+08593.910.00
3.7000e+08594.330.00
3.8000e+086103.760.00
3.9000e+086104.190.00
4.0000e+086114.630.00
4.1000e+088113.080.00
4.2000e+088123.540.00
4.3000e+088124.000.00
4.4000e+088124.470.00
4.5000e+088134.940.00
4.6000e+088135.420.01
4.7000e+088145.910.01
4.8000e+088146.400.01
4.9000e+089155.900.01
5.0000e+089156.410.01
5.2000e+089167.440.01
5.4000e+0810177.490.01
5.6000e+0810198.570.01
5.8000e+0810209.670.01
6.0000e+08102110.790.01
6.2000e+08102211.940.01
6.4000e+08102313.100.01
6.6000e+08102414.290.01
6.8000e+08122513.500.01
7.0000e+08132713.730.01
7.2000e+08152812.970.01
7.4000e+08152914.240.01
7.6000e+08163114.530.01
7.8000e+08163215.830.01
8.0000e+08183315.160.01
8.2000e+08193515.500.01
8.4000e+08203615.870.01
8.6000e+08223715.250.01
8.8000e+08233915.640.01
9.0000e+08234017.060.01
9.2000e+08284113.490.01
9.4000e+08294313.940.01
9.6000e+08314413.410.01
9.8000e+08334612.890.01
1.0000e+09334714.400.01
1.0500e+09405111.220.01
1.1000e+09455510.140.01
1.1500e+0952597.160.00
1.2000e+0960633.270.00
1.2500e+0962675.470.00
1.3000e+0967724.760.00
1.3500e+0970766.140.00
1.4000e+0977813.600.00
1.4500e+0978857.150.00
1.5000e+09799010.780.01
1.5500e+09839411.490.01
1.6000e+09889911.270.01
1.6500e+099310411.140.01
1.7000e+099610913.080.01
1.7500e+0910211412.090.01
1.8000e+0910511914.170.01
1.8500e+0910812416.330.01
1.9000e+0911313016.550.01
1.9500e+0911913515.840.01
2.0000e+0912414016.210.01
2.1000e+0913715114.130.01
2.2000e+0914416218.310.01
2.3000e+0915517418.730.01
2.4000e+0916618519.410.01
2.5000e+0918219715.320.01
2.6000e+0919220917.450.01
2.7000e+0920122220.820.01
2.8000e+0920723427.400.01
2.9000e+0922224725.200.01
3.0000e+0923826022.200.01
3.1000e+0924827325.410.01
3.2000e+0926928717.820.01
3.3000e+0928730013.430.01
3.4000e+0929731417.230.01
3.5000e+0931432814.210.01
3.6000e+0933034212.380.00
3.7000e+0933835718.740.01
3.8000e+0934837123.270.01
3.9000e+0936838617.970.01
4.0000e+0938140119.850.01
4.1000e+0939741618.890.01
4.2000e+0940743124.100.01
4.3000e+0942644620.480.01
4.4000e+0944546217.010.01
4.5000e+0946247815.700.01
4.6000e+0947249421.550.01
4.7000e+0948951020.550.01
4.8000e+0950052625.710.01
4.9000e+0951954223.010.01
5.0000e+0953155827.460.01
5.2000e+0956359228.790.01
5.4000e+0957762648.680.01
5.6000e+0961666044.130.01
5.8000e+0965169544.110.01
6.0000e+0968773143.610.01
6.2000e+0971976747.630.01
6.4000e+0975680347.140.01
6.6000e+0979484046.150.01
6.8000e+0983387844.630.01
7.0000e+0987191644.580.01
7.2000e+0991795436.990.01
7.4000e+0995399339.850.01
7.6000e+09993103239.160.01
7.8000e+091030107241.890.01
8.0000e+091085111227.050.01
8.2000e+091127115325.630.01
8.4000e+091172119421.620.01
8.6000e+091207123528.010.01
8.8000e+091250127726.800.01
9.0000e+091295131923.980.01
9.2000e+091330136231.540.01
9.4000e+091367140437.490.01
9.6000e+091405144842.800.01
9.8000e+091450149141.480.01
1.0000e+101503153632.530.01
1.0500e+101629164718.180.00
1.1000e+1017631761-2.01-0.00
1.1500e+10187618770.880.00
1.2000e+10198519959.780.00
1.2500e+102088211526.640.01
1.3000e+102212223624.390.00
1.3500e+102348236011.980.00
1.4000e+102469248516.370.00
1.4500e+102594261318.510.00
1.5000e+102713274128.340.01
1.5500e+102859287212.840.00
1.6000e+1030063004-2.05-0.00
1.6500e+10313431383.650.00
1.7000e+1032773273-4.11-0.00
1.7500e+1034103410-0.35-0.00
1.8000e+1035553548-7.11-0.00
1.8500e+1037063688-18.42-0.00
1.9000e+1038663829-37.31-0.01
1.9500e+1040083971-36.80-0.01
2.0000e+1041394115-23.93-0.00
2.1000e+1044554407-48.18-0.01
2.2000e+1047624704-58.26-0.01
2.3000e+1050665006-60.34-0.01
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