Gap size : 180 (r=90)

Generated by program gapCounts : Mon Jun 27 12:55:58 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+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+04000.000.00
1.1000e+04000.000.00
1.1500e+04000.000.00
1.2000e+04000.000.00
1.2500e+04000.000.00
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+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+06000.000.00
3.1000e+06000.000.00
3.2000e+06000.000.00
3.3000e+06000.000.00
3.4000e+06000.000.00
3.5000e+06000.010.00
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+06000.010.00
4.9000e+06000.010.00
5.0000e+06000.010.00
5.2000e+06000.010.00
5.4000e+06000.010.00
5.6000e+06000.020.00
5.8000e+06000.020.00
6.0000e+06000.020.00
6.2000e+06000.020.00
6.4000e+06000.020.00
6.6000e+06000.020.00
6.8000e+06000.020.00
7.0000e+06000.030.00
7.2000e+06000.030.00
7.4000e+06000.030.00
7.6000e+06000.030.00
7.8000e+06000.030.00
8.0000e+06000.030.00
8.2000e+06000.040.00
8.4000e+06000.040.00
8.6000e+06000.040.00
8.8000e+06000.040.00
9.0000e+06000.040.00
9.2000e+06000.050.00
9.4000e+06000.050.00
9.6000e+06000.050.00
9.8000e+06000.050.00
1.0000e+07000.060.00
1.0500e+07000.060.00
1.1000e+07000.070.00
1.1500e+07000.080.00
1.2000e+07000.080.00
1.2500e+07000.090.00
1.3000e+07000.100.00
1.3500e+07000.110.00
1.4000e+07000.110.00
1.4500e+07000.120.00
1.5000e+07000.130.00
1.5500e+07000.140.00
1.6000e+07000.150.00
1.6500e+07000.160.00
1.7000e+07000.170.00
1.7500e+0710-0.82-0.00
1.8000e+0710-0.81-0.00
1.8500e+0710-0.80-0.00
1.9000e+0710-0.79-0.00
1.9500e+0710-0.78-0.00
2.0000e+0710-0.76-0.00
2.1000e+0710-0.74-0.00
2.2000e+0710-0.71-0.00
2.3000e+0710-0.69-0.00
2.4000e+0710-0.66-0.00
2.5000e+0710-0.63-0.00
2.6000e+0710-0.60-0.00
2.7000e+0710-0.57-0.00
2.8000e+0710-0.54-0.00
2.9000e+0710-0.51-0.00
3.0000e+0711-0.47-0.00
3.1000e+0711-0.44-0.00
3.2000e+0711-0.40-0.00
3.3000e+0711-0.37-0.00
3.4000e+0711-0.33-0.00
3.5000e+0711-0.29-0.00
3.6000e+0711-0.25-0.00
3.7000e+0711-0.21-0.00
3.8000e+0711-0.17-0.00
3.9000e+0711-0.13-0.00
4.0000e+0711-0.08-0.00
4.1000e+0711-0.04-0.00
4.2000e+07110.010.00
4.3000e+07110.050.00
4.4000e+07110.100.00
4.5000e+07110.150.00
4.6000e+07110.200.00
4.7000e+07110.250.00
4.8000e+07110.300.00
4.9000e+07110.350.00
5.0000e+07110.400.00
5.2000e+07120.500.00
5.4000e+07120.610.00
5.6000e+07120.730.00
5.8000e+07120.840.00
6.0000e+07120.960.00
6.2000e+07121.080.00
6.4000e+07121.210.00
6.6000e+07121.340.00
6.8000e+07121.470.00
7.0000e+07131.600.00
7.2000e+07131.740.00
7.4000e+07131.880.00
7.6000e+07132.020.00
7.8000e+07132.170.00
8.0000e+07132.310.00
8.2000e+07132.470.00
8.4000e+07142.620.01
8.6000e+07142.780.01
8.8000e+07142.930.01
9.0000e+07143.100.01
9.2000e+07143.260.01
9.4000e+07440.430.00
9.6000e+07450.600.00
9.8000e+07450.770.00
1.0000e+08450.940.00
1.0500e+08451.390.00
1.1000e+08560.850.00
1.1500e+08561.330.00
1.2000e+08571.820.00
1.2500e+08572.330.00
1.3000e+08681.850.00
1.3500e+08682.380.00
1.4000e+08791.930.00
1.4500e+08891.490.00
1.5000e+089101.060.00
1.5500e+089111.650.00
1.6000e+089112.240.00
1.6500e+089122.860.00
1.7000e+0810122.480.00
1.7500e+0810133.110.00
1.8000e+0810143.760.01
1.8500e+0810144.420.01
1.9000e+0810155.090.01
1.9500e+0810165.770.01
2.0000e+0810166.470.01
2.1000e+0810187.890.01
2.2000e+0812197.350.01
2.3000e+0814216.860.01
2.4000e+0817225.400.01
2.5000e+0819244.990.01
2.6000e+0821264.620.01
2.7000e+0822275.280.01
2.8000e+0822296.990.01
2.9000e+0823317.730.01
3.0000e+0825337.500.01
3.1000e+0825349.320.01
3.2000e+08253611.160.01
3.3000e+0830388.050.01
3.4000e+0833406.960.01
3.5000e+0835426.910.01
3.6000e+0836447.900.01
3.7000e+0838467.910.01
3.8000e+0838489.960.01
3.9000e+08405010.040.01
4.0000e+08415211.150.01
4.1000e+08435411.290.01
4.2000e+08435613.460.01
4.3000e+08445914.660.01
4.4000e+08466114.890.01
4.5000e+08496314.140.01
4.6000e+08506515.430.01
4.7000e+0858689.740.01
4.8000e+08587012.090.01
4.9000e+0864728.460.01
5.0000e+08647510.850.01
5.2000e+0870809.730.01
5.4000e+08728512.710.01
5.6000e+08759014.790.01
5.8000e+08779517.970.02
6.0000e+088410016.250.01
6.2000e+088710618.620.02
6.4000e+089211119.090.02
6.6000e+089611720.660.02
6.8000e+0810012222.310.02
7.0000e+0810412824.050.02
7.2000e+0810513428.880.02
7.4000e+0811014029.800.02
7.6000e+0811914626.800.02
7.8000e+0812715224.880.02
8.0000e+0813515823.050.02
8.2000e+0814116423.300.02
8.4000e+0814917121.620.02
8.6000e+0815217725.030.02
8.8000e+0816018423.510.02
9.0000e+0816119029.070.02
9.2000e+0816919727.700.02
9.4000e+0817720326.410.02
9.6000e+0818721023.190.02
9.8000e+0819221725.050.02
1.0000e+0920022423.970.02
1.0500e+0921624225.590.02
1.1000e+0923126028.630.02
1.1500e+0925227826.080.02
1.2000e+0926829728.940.02
1.2500e+0928631630.190.02
1.3000e+0930433631.810.02
1.3500e+0932835627.810.02
1.4000e+0934837628.180.02
1.4500e+0936839728.890.02
1.5000e+0939341824.950.01
1.5500e+0941443925.350.01
1.6000e+0943546126.090.01
1.6500e+0945848325.140.01
1.7000e+0947850627.510.01
1.7500e+0950252826.200.01
1.8000e+0953355118.190.01
1.8500e+0956057414.480.01
1.9000e+0958159817.060.01
1.9500e+0960962212.940.01
2.0000e+096386468.090.00
2.1000e+096876958.240.00
2.2000e+097397456.480.00
2.3000e+09806797-9.24-0.00
2.4000e+09864849-14.95-0.01
2.5000e+09914902-11.66-0.01
2.6000e+09964957-7.41-0.00
2.7000e+0910191012-7.23-0.00
2.8000e+0910811068-13.13-0.01
2.9000e+0911421125-17.15-0.01
3.0000e+0911991183-16.30-0.01
3.1000e+0912591241-17.59-0.01
3.2000e+0913201301-19.06-0.01
3.3000e+0913871361-25.72-0.01
3.4000e+0914381422-15.59-0.01
3.5000e+0914971484-12.68-0.00
3.6000e+0915631547-16.00-0.01
3.7000e+0916251610-14.58-0.01
3.8000e+0916941675-19.43-0.01
3.9000e+0917581739-18.56-0.01
4.0000e+09180418051.020.00
4.1000e+0918801871-8.71-0.00
4.2000e+0919411938-2.75-0.00
4.3000e+0920092006-3.13-0.00
4.4000e+09206720747.150.00
4.5000e+09214321430.080.00
4.6000e+09220522137.650.00
4.7000e+09227522837.850.00
4.8000e+09234723546.660.00
4.9000e+09242124254.090.00
5.0000e+09249424973.110.00
5.2000e+0926562643-13.07-0.00
5.4000e+0928192791-27.95-0.01
5.6000e+0929822941-40.59-0.01
5.8000e+0931353094-41.05-0.01
6.0000e+0933013249-52.38-0.02
6.2000e+0934733405-67.64-0.02
6.4000e+0936353564-70.87-0.02
6.6000e+0938253725-100.11-0.03
6.8000e+0939793888-91.42-0.03
7.0000e+0941364052-83.84-0.02
7.2000e+0942964219-77.40-0.02
7.4000e+0944704387-83.14-0.02
7.6000e+0946464557-89.09-0.02
7.8000e+0948234729-94.30-0.02
8.0000e+0949964902-93.80-0.02
8.2000e+0951655077-87.61-0.02
8.4000e+0953455254-90.78-0.02
8.6000e+0955075433-74.31-0.02
8.8000e+0956745613-61.26-0.01
9.0000e+0958525794-57.63-0.01
9.2000e+0960215978-43.46-0.01
9.4000e+0961886162-25.78-0.01
9.6000e+0963846348-35.60-0.01
9.8000e+0965846536-47.95-0.01
1.0000e+1068096725-83.85-0.02
1.0500e+1072647204-59.91-0.01
1.1000e+1077677692-75.38-0.02
1.1500e+1082728187-84.54-0.02
1.2000e+1087858691-93.67-0.02
1.2500e+1092999203-96.02-0.02
1.3000e+1098279722-104.83-0.02
1.3500e+101033910249-90.32-0.02
1.4000e+101086810782-85.69-0.02
1.4500e+101143311323-110.13-0.02
1.5000e+101200411870-133.84-0.03
1.5500e+101254012424-115.98-0.02
1.6000e+101312612984-141.71-0.03
1.6500e+101369213551-141.18-0.03
1.7000e+101426114123-137.55-0.02
1.7500e+101484014702-137.94-0.02
1.8000e+101537515287-88.50-0.02
1.8500e+101594515877-68.34-0.01
1.9000e+101652916472-56.58-0.01
1.9500e+101714517074-71.35-0.01
2.0000e+101780117680-120.73-0.02
2.1000e+101908418909-174.80-0.03
2.2000e+102034320158-184.56-0.03
2.3000e+102159621427-168.73-0.03
2.4000e+102290822715-192.99-0.03
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