Gap size : 158 (r=79)

Generated by program gapCounts : Mon Jun 27 12:46:15 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+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+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+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+06000.000.00
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+06000.010.00
2.3000e+06000.010.00
2.4000e+06000.010.00
2.5000e+06000.010.00
2.6000e+06000.010.00
2.7000e+06000.010.00
2.8000e+06000.010.00
2.9000e+06000.010.00
3.0000e+06000.010.00
3.1000e+06000.010.00
3.2000e+06000.010.00
3.3000e+06000.010.00
3.4000e+06000.010.00
3.5000e+06000.020.00
3.6000e+06000.020.00
3.7000e+06000.020.00
3.8000e+06000.020.00
3.9000e+06000.020.00
4.0000e+06000.020.00
4.1000e+06000.020.00
4.2000e+06000.020.00
4.3000e+06000.020.00
4.4000e+06000.030.00
4.5000e+06000.030.00
4.6000e+06000.030.00
4.7000e+06000.030.00
4.8000e+06000.030.00
4.9000e+06000.030.00
5.0000e+06000.030.00
5.2000e+06000.040.00
5.4000e+06000.040.00
5.6000e+06000.040.00
5.8000e+06000.050.00
6.0000e+06000.050.00
6.2000e+06000.050.00
6.4000e+06000.060.00
6.6000e+06000.060.00
6.8000e+06000.060.00
7.0000e+06000.070.00
7.2000e+06000.070.00
7.4000e+06000.080.00
7.6000e+06000.080.00
7.8000e+06000.090.00
8.0000e+06000.090.00
8.2000e+06000.090.00
8.4000e+06000.100.00
8.6000e+06000.100.00
8.8000e+06000.110.00
9.0000e+06000.110.00
9.2000e+06000.120.00
9.4000e+06000.120.00
9.6000e+06000.130.00
9.8000e+06000.140.00
1.0000e+07000.140.00
1.0500e+07000.160.00
1.1000e+07000.170.00
1.1500e+07000.190.00
1.2000e+07000.200.00
1.2500e+07000.220.00
1.3000e+07000.240.00
1.3500e+07000.250.00
1.4000e+07000.270.00
1.4500e+07000.290.00
1.5000e+07000.310.00
1.5500e+07000.330.00
1.6000e+07000.350.00
1.6500e+07000.370.00
1.7000e+07000.400.00
1.7500e+07000.420.00
1.8000e+07000.440.00
1.8500e+07000.460.00
1.9000e+07000.490.00
1.9500e+07010.510.00
2.0000e+07010.540.00
2.1000e+07010.590.00
2.2000e+07010.640.00
2.3000e+07010.700.00
2.4000e+07010.750.00
2.5000e+07010.810.00
2.6000e+07010.870.00
2.7000e+07010.930.00
2.8000e+07011.000.00
2.9000e+07011.060.00
3.0000e+07011.130.00
3.1000e+07011.200.00
3.2000e+07011.270.00
3.3000e+07011.340.00
3.4000e+07011.420.00
3.5000e+07011.490.00
3.6000e+07021.570.00
3.7000e+07021.650.00
3.8000e+07021.730.00
3.9000e+07021.810.01
4.0000e+07021.890.01
4.1000e+07021.980.01
4.2000e+07022.060.01
4.3000e+07022.150.01
4.4000e+07022.240.01
4.5000e+07022.330.01
4.6000e+07022.420.01
4.7000e+07032.510.01
4.8000e+07032.610.01
4.9000e+07032.700.01
5.0000e+07131.800.00
5.2000e+07132.000.00
5.4000e+07231.200.00
5.6000e+07231.410.00
5.8000e+07241.620.00
6.0000e+07241.840.00
6.2000e+07242.060.00
6.4000e+07242.290.01
6.6000e+07351.520.00
6.8000e+07450.760.00
7.0000e+07451.000.00
7.2000e+07451.240.00
7.4000e+07451.490.00
7.6000e+07461.750.00
7.8000e+07462.000.00
8.0000e+07462.270.00
8.2000e+07571.530.00
8.4000e+07670.800.00
8.6000e+07770.080.00
8.8000e+07770.350.00
9.0000e+0788-0.36-0.00
9.2000e+0788-0.08-0.00
9.4000e+07880.210.00
9.6000e+0799-0.49-0.00
9.8000e+07109-1.20-0.00
1.0000e+08109-0.90-0.00
1.0500e+081210-2.13-0.00
1.1000e+081211-1.34-0.00
1.1500e+081211-0.53-0.00
1.2000e+0812120.300.00
1.2500e+0812131.160.00
1.3000e+0813141.030.00
1.3500e+0813151.920.00
1.4000e+0813162.830.00
1.4500e+0813173.760.01
1.5000e+0813184.710.01
1.5500e+0814194.670.01
1.6000e+0816203.660.01
1.6500e+0817213.660.01
1.7000e+0817224.680.01
1.7500e+0818234.710.01
1.8000e+0819244.760.01
1.8500e+0821253.830.01
1.9000e+0822263.910.01
1.9500e+0823274.010.01
2.0000e+0826282.120.00
2.1000e+0829301.390.00
2.2000e+083333-0.28-0.00
2.3000e+0833352.100.00
2.4000e+0833384.540.01
2.5000e+0833407.040.01
2.6000e+0839433.590.00
2.7000e+0841454.180.00
2.8000e+0842485.830.01
2.9000e+0847513.530.00
3.0000e+0848535.270.01
3.1000e+0850566.060.01
3.2000e+0854594.900.01
3.3000e+0857624.780.01
3.4000e+0858656.710.01
3.5000e+0865682.670.00
3.6000e+0868712.680.00
3.7000e+0872741.740.00
3.8000e+0873773.830.00
3.9000e+0874805.960.01
4.0000e+0878835.130.01
4.1000e+0885861.340.00
4.2000e+0888901.590.00
4.3000e+0889933.870.00
4.4000e+0890966.200.01
4.5000e+08961003.550.00
4.6000e+08961036.950.01
4.7000e+08991067.380.01
4.8000e+081031106.840.01
4.9000e+081081135.340.00
5.0000e+081121174.870.00
5.2000e+081191245.040.00
5.4000e+081271314.330.00
5.6000e+081341394.750.00
5.8000e+081401466.290.01
6.0000e+081451548.950.01
6.2000e+0814916212.730.01
6.4000e+0815417015.630.01
6.6000e+0816517812.640.01
6.8000e+0817118614.750.01
7.0000e+0817819415.980.01
7.2000e+0818220220.310.02
7.4000e+0818921121.750.02
7.6000e+0819921920.280.02
7.8000e+0820922818.920.01
8.0000e+0821723719.650.01
8.2000e+0822524520.480.01
8.4000e+0823025424.410.02
8.6000e+0823626327.430.02
8.8000e+0824727325.540.02
9.0000e+0826328218.740.01
9.2000e+0827329118.030.01
9.4000e+0827730023.400.02
9.6000e+0828931020.860.01
9.8000e+0829731922.410.01
1.0000e+0930632923.040.02
1.0500e+0933835315.470.01
1.1000e+0936737811.400.01
1.1500e+0939340410.810.01
1.2000e+0940943020.680.01
1.2500e+0943745619.000.01
1.3000e+0946848314.770.01
1.3500e+0948951020.950.01
1.4000e+0951753820.550.01
1.4500e+0954956616.560.01
1.5000e+0957359420.960.01
1.5500e+0959962323.740.01
1.6000e+0962665225.890.01
1.6500e+0966268119.410.01
1.7000e+0969271119.290.01
1.7500e+0973174210.520.01
1.8000e+09774772-1.91-0.00
1.8500e+097968036.990.00
1.9000e+098268348.220.00
1.9500e+098598666.780.00
2.0000e+0988689811.650.01
2.1000e+0994596217.310.01
2.2000e+091004102824.170.01
2.3000e+091081109514.180.01
2.4000e+091147116316.310.01
2.5000e+091215123317.520.01
2.6000e+091277130325.780.01
2.7000e+091352137422.060.01
2.8000e+091419144627.320.01
2.9000e+091490152029.550.01
3.0000e+091564159429.710.01
3.1000e+091645166923.790.01
3.2000e+09173617458.750.00
3.3000e+091803182218.580.01
3.4000e+091868189931.260.01
3.5000e+091945197832.770.01
3.6000e+092036205721.100.01
3.7000e+092120213717.210.01
3.8000e+092205221813.100.00
3.9000e+092288230011.750.00
4.0000e+09237323829.150.00
4.1000e+09245924656.280.00
4.2000e+0925572549-7.88-0.00
4.3000e+09262426349.670.00
4.4000e+09271027198.910.00
4.5000e+09280328051.830.00
4.6000e+0928982891-6.58-0.00
4.7000e+09297629792.660.00
4.8000e+09306630670.550.00
4.9000e+0931743155-18.93-0.01
5.0000e+0932693244-24.78-0.01
5.2000e+0934393424-14.65-0.00
5.4000e+0936173607-10.14-0.00
5.6000e+093780379211.680.00
5.8000e+093940397938.750.01
6.0000e+094125416843.010.01
6.2000e+094309435950.400.01
6.4000e+094506455346.860.01
6.6000e+094719474829.350.01
6.8000e+094904494641.810.01
7.0000e+095117514528.200.01
7.2000e+095320534626.470.01
7.4000e+095527555022.590.01
7.6000e+095743575511.500.00
7.8000e+09596159610.190.00
8.0000e+0961796170-9.40-0.00
8.2000e+0964056380-25.30-0.01
8.4000e+0966116591-19.54-0.00
8.6000e+0968346805-29.14-0.01
8.8000e+0970317020-11.15-0.00
9.0000e+0972617236-24.59-0.01
9.2000e+09744674558.510.00
9.4000e+097663767411.120.00
9.6000e+097885789510.220.00
9.8000e+098101811816.790.00
1.0000e+108328834213.790.00
1.0500e+1089268908-18.06-0.00
1.1000e+1094909483-7.41-0.00
1.1500e+101008010065-14.56-0.00
1.2000e+101067810656-21.82-0.00
1.2500e+101127611255-21.45-0.00
1.3000e+101187611860-15.70-0.00
1.3500e+101252512473-51.79-0.01
1.4000e+101313313093-39.96-0.01
1.4500e+101372413720-4.40-0.00
1.5000e+101438014353-27.31-0.01
1.5500e+101503314992-40.86-0.01
1.6000e+101568815638-50.22-0.01
1.6500e+101634516289-55.55-0.01
1.7000e+101705816947-111.00-0.02
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