Gap size : 178 (r=89)

Generated by program gapCounts : Mon Jun 27 12:55:55 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+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+06000.000.00
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+06000.010.00
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+06000.010.00
5.8000e+06000.010.00
6.0000e+06000.010.00
6.2000e+06000.010.00
6.4000e+06000.010.00
6.6000e+06000.010.00
6.8000e+06000.010.00
7.0000e+06000.010.00
7.2000e+06000.010.00
7.4000e+06000.020.00
7.6000e+06000.020.00
7.8000e+06000.020.00
8.0000e+06000.020.00
8.2000e+06000.020.00
8.4000e+06000.020.00
8.6000e+06000.020.00
8.8000e+06000.020.00
9.0000e+06000.020.00
9.2000e+06000.020.00
9.4000e+06000.030.00
9.6000e+06000.030.00
9.8000e+06000.030.00
1.0000e+07000.030.00
1.0500e+07000.030.00
1.1000e+07000.040.00
1.1500e+07000.040.00
1.2000e+07000.040.00
1.2500e+07000.050.00
1.3000e+07000.050.00
1.3500e+07000.050.00
1.4000e+07000.060.00
1.4500e+07000.060.00
1.5000e+07000.070.00
1.5500e+07000.070.00
1.6000e+07000.080.00
1.6500e+07000.080.00
1.7000e+07000.090.00
1.7500e+07000.090.00
1.8000e+07000.100.00
1.8500e+07000.100.00
1.9000e+07000.110.00
1.9500e+07000.110.00
2.0000e+07000.120.00
2.1000e+07000.130.00
2.2000e+07000.150.00
2.3000e+07000.160.00
2.4000e+07000.170.00
2.5000e+07000.190.00
2.6000e+07000.200.00
2.7000e+07000.220.00
2.8000e+07000.230.00
2.9000e+07000.250.00
3.0000e+07000.270.00
3.1000e+07000.280.00
3.2000e+07000.300.00
3.3000e+07000.320.00
3.4000e+07000.340.00
3.5000e+07000.360.00
3.6000e+07000.380.00
3.7000e+07000.400.00
3.8000e+07000.420.00
3.9000e+07000.440.00
4.0000e+0710-0.54-0.00
4.1000e+0710-0.52-0.00
4.2000e+0711-0.50-0.00
4.3000e+0711-0.47-0.00
4.4000e+0711-0.45-0.00
4.5000e+0711-0.43-0.00
4.6000e+0711-0.40-0.00
4.7000e+0711-0.38-0.00
4.8000e+0711-0.35-0.00
4.9000e+0711-0.33-0.00
5.0000e+0711-0.30-0.00
5.2000e+0711-0.25-0.00
5.4000e+0721-1.20-0.00
5.6000e+0721-1.14-0.00
5.8000e+0721-1.08-0.00
6.0000e+0731-2.03-0.00
6.2000e+0731-1.97-0.00
6.4000e+0731-1.90-0.00
6.6000e+0731-1.84-0.00
6.8000e+0731-1.78-0.00
7.0000e+0741-2.71-0.01
7.2000e+0741-2.65-0.01
7.4000e+0741-2.58-0.01
7.6000e+0741-2.51-0.01
7.8000e+0742-2.44-0.01
8.0000e+0742-2.36-0.00
8.2000e+0742-2.29-0.00
8.4000e+0742-2.22-0.00
8.6000e+0742-2.14-0.00
8.8000e+0742-2.06-0.00
9.0000e+0742-1.98-0.00
9.2000e+0742-1.90-0.00
9.4000e+0742-1.82-0.00
9.6000e+0742-1.74-0.00
9.8000e+0742-1.66-0.00
1.0000e+0842-1.57-0.00
1.0500e+0853-2.35-0.00
1.1000e+0863-3.13-0.01
1.1500e+0883-4.90-0.01
1.2000e+0883-4.66-0.01
1.2500e+0884-4.42-0.01
1.3000e+0894-5.16-0.01
1.3500e+0894-4.91-0.01
1.4000e+0894-4.64-0.01
1.4500e+0895-4.37-0.01
1.5000e+0895-4.09-0.01
1.5500e+0895-3.81-0.01
1.6000e+08105-4.52-0.01
1.6500e+08106-4.23-0.01
1.7000e+08126-5.93-0.01
1.7500e+08126-5.62-0.01
1.8000e+08127-5.31-0.01
1.8500e+08127-4.99-0.01
1.9000e+08127-4.67-0.01
1.9500e+08128-4.35-0.01
2.0000e+08138-5.01-0.01
2.1000e+08149-5.33-0.01
2.2000e+08149-4.63-0.01
2.3000e+081410-3.91-0.00
2.4000e+081511-4.17-0.01
2.5000e+081512-3.41-0.00
2.6000e+081612-3.63-0.00
2.7000e+081613-2.84-0.00
2.8000e+081614-2.02-0.00
2.9000e+081715-2.19-0.00
3.0000e+081716-1.34-0.00
3.1000e+081817-1.48-0.00
3.2000e+081817-0.60-0.00
3.3000e+081918-0.70-0.00
3.4000e+0819190.210.00
3.5000e+0820200.140.00
3.6000e+0821210.080.00
3.7000e+0821221.040.00
3.8000e+0823230.010.00
3.9000e+0823241.000.00
4.0000e+082525-0.00-0.00
4.1000e+0825261.020.00
4.2000e+0826271.040.00
4.3000e+0826282.090.00
4.4000e+0826293.140.00
4.5000e+0827303.210.00
4.6000e+0829312.300.00
4.7000e+083432-1.61-0.00
4.8000e+083434-0.50-0.00
4.9000e+0834350.620.00
5.0000e+0835360.760.00
5.2000e+0837381.060.00
5.4000e+084240-1.58-0.00
5.6000e+084643-3.18-0.00
5.8000e+084745-1.74-0.00
6.0000e+085048-2.25-0.00
6.2000e+085350-2.71-0.00
6.4000e+085453-1.13-0.00
6.6000e+085955-3.51-0.00
6.8000e+086058-1.85-0.00
7.0000e+086561-4.14-0.00
7.2000e+086564-1.40-0.00
7.4000e+086766-0.62-0.00
7.6000e+087269-2.79-0.00
7.8000e+087672-3.93-0.00
8.0000e+087775-2.04-0.00
8.2000e+088278-4.10-0.00
8.4000e+088581-4.13-0.00
8.6000e+088584-1.12-0.00
8.8000e+088887-1.08-0.00
9.0000e+089090-0.00-0.00
9.2000e+0893930.110.00
9.4000e+0895961.250.00
9.6000e+0898991.430.00
9.8000e+081021030.640.00
1.0000e+09106106-0.11-0.00
1.0500e+09117114-2.86-0.00
1.1000e+09123123-0.42-0.00
1.1500e+091301311.210.00
1.2000e+091371403.030.00
1.2500e+091451494.020.00
1.3000e+091501588.180.00
1.3500e+0915716810.520.01
1.4000e+0916717710.010.01
1.4500e+091781878.670.00
1.5000e+091891967.490.00
1.5500e+0919620610.460.01
1.6000e+0920621710.580.01
1.6500e+0921622710.840.01
1.7000e+0922623711.250.01
1.7500e+0923424813.810.01
1.8000e+0924325815.500.01
1.8500e+0925626913.320.01
1.9000e+0926828012.280.01
1.9500e+0928029111.370.01
2.0000e+0929230310.580.01
2.1000e+093193256.400.00
2.2000e+093453493.700.00
2.3000e+093673725.470.00
2.4000e+093883978.700.00
2.5000e+094154216.380.00
2.6000e+094454461.490.00
2.7000e+09474472-1.98-0.00
2.8000e+09499498-1.03-0.00
2.9000e+09531524-6.69-0.00
3.0000e+09554551-2.96-0.00
3.1000e+09579578-0.84-0.00
3.2000e+096026063.650.00
3.3000e+09635633-1.50-0.00
3.4000e+09663662-1.29-0.00
3.5000e+09696690-5.74-0.00
3.6000e+097187191.160.00
3.7000e+097477481.400.00
3.8000e+0976077817.960.01
3.9000e+0979680811.840.00
4.0000e+0981483824.050.01
4.1000e+0984586923.560.01
4.2000e+0987689923.380.01
4.3000e+0990893022.490.01
4.4000e+0994096221.910.01
4.5000e+0997499419.610.01
4.6000e+09995102630.600.01
4.7000e+091026105831.870.01
4.8000e+091062109028.410.01
4.9000e+091086112337.230.01
5.0000e+091110115646.320.01
5.2000e+091180122343.280.01
5.4000e+091256129135.270.01
5.6000e+091321136039.270.01
5.8000e+091384143046.230.01
6.0000e+091461150140.150.01
6.2000e+091545157327.990.01
6.4000e+091620164625.730.01
6.6000e+09171017199.360.00
6.8000e+091773179420.850.01
7.0000e+091848186921.190.01
7.2000e+091907194538.350.01
7.4000e+091981202241.320.01
7.6000e+092043210057.090.01
7.8000e+092140217938.630.01
8.0000e+092232225825.940.01
8.2000e+092313233824.990.01
8.4000e+092386241932.780.01
8.6000e+092460250040.290.01
8.8000e+092545258337.500.01
9.0000e+092620266545.420.01
9.2000e+092709274940.020.01
9.4000e+092793283340.290.01
9.6000e+092873291845.230.01
9.8000e+092954300449.820.01
1.0000e+103045309045.050.01
1.0500e+103251330857.370.01
1.1000e+103477353153.510.01
1.1500e+103692375664.330.01
1.2000e+103924398661.700.01
1.2500e+104155421963.520.01
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