Gap size : 154 (r=77)

Generated by program gapCounts : Mon Jun 27 12:46:09 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+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+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+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+06000.010.00
1.6000e+06000.010.00
1.6500e+06000.010.00
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+06000.020.00
2.6000e+06000.020.00
2.7000e+06000.020.00
2.8000e+06000.020.00
2.9000e+06000.020.00
3.0000e+06000.020.00
3.1000e+06000.020.00
3.2000e+06000.030.00
3.3000e+06000.030.00
3.4000e+06000.030.00
3.5000e+06000.030.00
3.6000e+06000.030.00
3.7000e+06000.040.00
3.8000e+06000.040.00
3.9000e+06000.040.00
4.0000e+06000.040.00
4.1000e+06000.050.00
4.2000e+06000.050.00
4.3000e+06000.050.00
4.4000e+06000.050.00
4.5000e+06000.060.00
4.6000e+06000.060.00
4.7000e+0610-0.94-0.01
4.8000e+0610-0.94-0.01
4.9000e+0610-0.93-0.01
5.0000e+0610-0.93-0.01
5.2000e+0610-0.92-0.01
5.4000e+0610-0.92-0.01
5.6000e+0610-0.91-0.01
5.8000e+0610-0.91-0.01
6.0000e+0610-0.90-0.01
6.2000e+0610-0.89-0.01
6.4000e+0610-0.88-0.01
6.6000e+0610-0.88-0.01
6.8000e+0610-0.87-0.01
7.0000e+0610-0.86-0.01
7.2000e+0610-0.85-0.01
7.4000e+0610-0.85-0.00
7.6000e+0610-0.84-0.00
7.8000e+0610-0.83-0.00
8.0000e+0610-0.82-0.00
8.2000e+0610-0.81-0.00
8.4000e+0610-0.80-0.00
8.6000e+0610-0.79-0.00
8.8000e+0610-0.78-0.00
9.0000e+0610-0.77-0.00
9.2000e+0610-0.76-0.00
9.4000e+0610-0.75-0.00
9.6000e+0610-0.74-0.00
9.8000e+0610-0.73-0.00
1.0000e+0710-0.72-0.00
1.0500e+0710-0.69-0.00
1.1000e+0710-0.66-0.00
1.1500e+0720-1.63-0.01
1.2000e+0720-1.60-0.01
1.2500e+0720-1.57-0.01
1.3000e+0720-1.53-0.01
1.3500e+0721-1.50-0.01
1.4000e+0721-1.46-0.01
1.4500e+0721-1.43-0.01
1.5000e+0721-1.39-0.01
1.5500e+0731-2.35-0.01
1.6000e+0731-2.31-0.01
1.6500e+0731-2.27-0.01
1.7000e+0731-2.23-0.01
1.7500e+0731-2.19-0.01
1.8000e+0731-2.14-0.01
1.8500e+0731-2.10-0.01
1.9000e+0731-2.05-0.01
1.9500e+0731-2.01-0.01
2.0000e+0731-1.96-0.01
2.1000e+0731-1.86-0.01
2.2000e+0731-1.76-0.01
2.3000e+0731-1.66-0.01
2.4000e+0731-1.55-0.01
2.5000e+0732-1.44-0.00
2.6000e+0732-1.32-0.00
2.7000e+0732-1.21-0.00
2.8000e+0732-1.09-0.00
2.9000e+0732-0.96-0.00
3.0000e+0732-0.84-0.00
3.1000e+0732-0.71-0.00
3.2000e+0732-0.57-0.00
3.3000e+0733-0.44-0.00
3.4000e+0733-0.30-0.00
3.5000e+0733-0.16-0.00
3.6000e+0733-0.01-0.00
3.7000e+07330.130.00
3.8000e+07330.280.00
3.9000e+07330.430.00
4.0000e+07340.590.00
4.1000e+07340.750.00
4.2000e+07340.910.00
4.3000e+07341.070.00
4.4000e+07341.230.00
4.5000e+07341.400.00
4.6000e+07351.570.00
4.7000e+07351.740.00
4.8000e+07351.920.00
4.9000e+07352.090.01
5.0000e+07352.270.01
5.2000e+07362.640.01
5.4000e+07363.010.01
5.6000e+07561.400.00
5.8000e+07571.790.00
6.0000e+07572.190.01
6.2000e+07681.600.00
6.4000e+07682.020.00
6.6000e+07781.440.00
6.8000e+07890.880.00
7.0000e+07891.320.00
7.2000e+078101.770.00
7.4000e+078102.230.00
7.6000e+078112.690.01
7.8000e+078113.160.01
8.0000e+078123.640.01
8.2000e+078124.130.01
8.4000e+078134.620.01
8.6000e+078135.120.01
8.8000e+079144.630.01
9.0000e+079145.140.01
9.2000e+079155.660.01
9.4000e+0711154.190.01
9.6000e+0712163.720.01
9.8000e+0713163.260.01
1.0000e+0813173.810.01
1.0500e+0813185.210.01
1.1000e+0814205.640.01
1.1500e+0817214.110.01
1.2000e+0818234.610.01
1.2500e+0821243.150.01
1.3000e+0821264.730.01
1.3500e+0827270.340.00
1.4000e+082929-0.02-0.00
1.4500e+0829311.660.00
1.5000e+083332-0.64-0.00
1.5500e+0834340.100.00
1.6000e+083636-0.13-0.00
1.6500e+083938-1.34-0.00
1.7000e+084139-1.51-0.00
1.7500e+084341-1.66-0.00
1.8000e+0843430.220.00
1.8500e+0844451.130.00
1.9000e+0845472.070.00
1.9500e+0847492.030.00
2.0000e+0851510.020.00
2.1000e+0854551.080.00
2.2000e+0854595.240.01
2.3000e+0857636.490.01
2.4000e+0861686.840.01
2.5000e+0865727.270.01
2.6000e+0869777.800.01
2.7000e+0873818.420.01
2.8000e+08768610.120.01
2.9000e+08789112.900.01
3.0000e+08829613.760.02
3.1000e+088510115.710.02
3.2000e+088810617.730.02
3.3000e+089511115.820.02
3.4000e+089811617.990.02
3.5000e+0811012111.230.01
3.6000e+081201276.550.01
3.7000e+081261325.930.01
3.8000e+081311376.380.01
3.9000e+081351437.900.01
4.0000e+081411487.490.01
4.1000e+0814215412.140.01
4.2000e+0814516014.860.01
4.3000e+0815116614.640.01
4.4000e+0815817113.480.01
4.5000e+0816717710.380.01
4.6000e+081781835.340.00
4.7000e+081861893.360.00
4.8000e+081911954.440.00
4.9000e+081942027.580.01
5.0000e+082002087.770.01
5.2000e+082132207.320.01
5.4000e+082282335.100.00
5.6000e+082422464.080.00
5.8000e+082502599.270.01
6.0000e+082652737.660.01
6.2000e+082802866.250.01
6.4000e+082993001.030.00
6.6000e+083103144.000.00
6.8000e+083273281.150.00
7.0000e+08343342-0.52-0.00
7.2000e+08358357-1.01-0.00
7.4000e+08377372-5.33-0.00
7.6000e+08392387-5.48-0.00
7.8000e+08407402-5.46-0.00
8.0000e+08422417-5.28-0.00
8.2000e+08438432-5.94-0.00
8.4000e+08452448-4.44-0.00
8.6000e+08465463-1.79-0.00
8.8000e+08486479-6.98-0.00
9.0000e+08498495-3.03-0.00
9.2000e+08516511-4.92-0.00
9.4000e+08533527-5.68-0.00
9.6000e+08546544-2.29-0.00
9.8000e+08572560-11.76-0.01
1.0000e+09583577-6.09-0.00
1.0500e+09623619-3.83-0.00
1.1000e+09684662-21.74-0.01
1.1500e+09709706-2.86-0.00
1.2000e+09755751-4.21-0.00
1.2500e+097947962.180.00
1.3000e+09850842-7.70-0.00
1.3500e+098858894.120.00
1.4000e+099369370.620.00
1.4500e+09986985-1.22-0.00
1.5000e+09102810345.590.00
1.5500e+09107910834.040.00
1.6000e+0911381133-4.90-0.00
1.6500e+0911961184-12.24-0.01
1.7000e+0912481235-12.99-0.01
1.7500e+0912921287-5.17-0.00
1.8000e+0913421339-2.79-0.00
1.8500e+0913991392-6.85-0.00
1.9000e+0914501446-4.38-0.00
1.9500e+0915071500-7.38-0.00
2.0000e+0915611554-6.87-0.00
2.1000e+0916771665-12.32-0.01
2.2000e+091763177714.180.01
2.3000e+091875189216.570.01
2.4000e+091988200819.790.01
2.5000e+092097212628.770.01
2.6000e+092229224516.460.01
2.7000e+09236323673.810.00
2.8000e+0924912490-1.23-0.00
2.9000e+092598261416.300.01
3.0000e+092728274012.360.00
3.1000e+09286728680.890.00
3.2000e+0929992997-2.12-0.00
3.3000e+09312131276.280.00
3.4000e+0932653259-5.95-0.00
3.5000e+0934083392-15.82-0.01
3.6000e+0935493527-22.38-0.01
3.7000e+0936803662-17.66-0.01
3.8000e+0938173799-17.67-0.01
3.9000e+09393739380.550.00
4.0000e+094060407716.980.01
4.1000e+094206421811.590.00
4.2000e+09435543594.360.00
4.3000e+0945044502-1.72-0.00
4.4000e+09464146465.310.00
4.5000e+0947924791-0.56-0.00
4.6000e+094909493828.650.01
4.7000e+095049508535.920.01
4.8000e+095215523318.240.01
4.9000e+0953925383-9.42-0.00
5.0000e+0955365533-3.08-0.00
5.2000e+0958525837-15.42-0.00
5.4000e+0962016144-56.92-0.02
5.6000e+0965436455-87.69-0.03
5.8000e+0968736770-102.83-0.03
6.0000e+0971957089-106.45-0.03
6.2000e+0975057410-94.64-0.03
6.4000e+0978437736-107.49-0.03
6.6000e+0982088064-144.08-0.04
6.8000e+0985188395-122.50-0.03
7.0000e+0988628730-131.82-0.04
7.2000e+0992009068-132.11-0.04
7.4000e+0995619409-152.45-0.04
7.6000e+0999239752-170.89-0.04
7.8000e+091025610099-157.49-0.04
8.0000e+091059310448-145.33-0.04
8.2000e+091095710800-157.44-0.04
8.4000e+091129911154-144.90-0.04
8.6000e+091163711511-125.75-0.03
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