Gap size : 162 (r=81)

Generated by program gapCounts : Mon Jun 27 12:46:21 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+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+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+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+06000.010.00
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+06000.010.00
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+06000.020.00
3.2000e+06000.020.00
3.3000e+06000.020.00
3.4000e+06000.020.00
3.5000e+06000.020.00
3.6000e+06000.020.00
3.7000e+06000.020.00
3.8000e+06000.030.00
3.9000e+06000.030.00
4.0000e+06000.030.00
4.1000e+06000.030.00
4.2000e+06000.030.00
4.3000e+06000.030.00
4.4000e+06000.030.00
4.5000e+06000.040.00
4.6000e+06000.040.00
4.7000e+06000.040.00
4.8000e+06000.040.00
4.9000e+06000.040.00
5.0000e+06000.050.00
5.2000e+06000.050.00
5.4000e+06000.050.00
5.6000e+06000.060.00
5.8000e+06000.060.00
6.0000e+06000.070.00
6.2000e+06000.070.00
6.4000e+06000.080.00
6.6000e+06000.080.00
6.8000e+06000.090.00
7.0000e+06000.090.00
7.2000e+06000.100.00
7.4000e+06000.110.00
7.6000e+06000.110.00
7.8000e+06000.120.00
8.0000e+06000.120.00
8.2000e+06000.130.00
8.4000e+06000.140.00
8.6000e+06000.140.00
8.8000e+06000.150.00
9.0000e+06000.160.00
9.2000e+06000.160.00
9.4000e+06000.170.00
9.6000e+06000.180.00
9.8000e+06000.190.00
1.0000e+07000.200.00
1.0500e+07000.220.00
1.1000e+07000.240.00
1.1500e+07000.260.00
1.2000e+07000.280.00
1.2500e+07000.310.00
1.3000e+07000.330.00
1.3500e+07000.350.00
1.4000e+07000.380.00
1.4500e+07000.410.00
1.5000e+07000.440.00
1.5500e+07000.460.00
1.6000e+07000.490.00
1.6500e+07010.520.00
1.7000e+07010.560.00
1.7500e+07010.590.00
1.8000e+07010.620.00
1.8500e+07010.650.00
1.9000e+07010.690.00
1.9500e+07010.720.00
2.0000e+07010.760.00
2.1000e+07010.830.00
2.2000e+07010.910.00
2.3000e+07010.990.00
2.4000e+07011.070.00
2.5000e+07011.150.00
2.6000e+07011.240.00
2.7000e+07011.330.00
2.8000e+07011.420.00
2.9000e+07021.520.00
3.0000e+07021.610.01
3.1000e+07021.710.01
3.2000e+07021.810.01
3.3000e+07021.920.01
3.4000e+07022.030.01
3.5000e+07022.140.01
3.6000e+07022.250.01
3.7000e+07022.360.01
3.8000e+07022.480.01
3.9000e+07032.600.01
4.0000e+07131.720.00
4.1000e+07230.840.00
4.2000e+07230.970.00
4.3000e+07231.090.00
4.4000e+07231.220.00
4.5000e+07231.350.00
4.6000e+07231.490.00
4.7000e+07340.620.00
4.8000e+0744-0.24-0.00
4.9000e+0744-0.10-0.00
5.0000e+07440.040.00
5.2000e+07440.330.00
5.4000e+07450.630.00
5.6000e+07450.930.00
5.8000e+07451.240.00
6.0000e+07461.560.00
6.2000e+07461.890.00
6.4000e+07462.220.00
6.6000e+07472.560.01
6.8000e+07472.910.01
7.0000e+07473.270.01
7.2000e+07582.630.01
7.4000e+07582.990.01
7.6000e+07682.370.00
7.8000e+07692.750.01
8.0000e+07693.130.01
8.2000e+076103.530.01
8.4000e+076103.930.01
8.6000e+076104.330.01
8.8000e+076114.740.01
9.0000e+076115.160.01
9.2000e+077124.580.01
9.4000e+077125.010.01
9.6000e+077125.450.01
9.8000e+078134.890.01
1.0000e+088135.330.01
1.0500e+088146.470.01
1.1000e+089166.640.01
1.1500e+0810176.850.01
1.2000e+0812186.090.01
1.2500e+0812197.360.01
1.3000e+0813217.660.01
1.3500e+0814227.980.01
1.4000e+0817236.340.01
1.4500e+0817257.730.01
1.5000e+0818268.150.01
1.5500e+0820287.590.01
1.6000e+0821298.060.01
1.6500e+0822318.560.01
1.7000e+0824328.080.01
1.7500e+0825348.630.01
1.8000e+0827358.200.01
1.8500e+0828378.800.01
1.9000e+0831387.420.01
1.9500e+0831409.070.01
2.0000e+08314210.740.01
2.1000e+0840455.150.01
2.2000e+0842496.660.01
2.3000e+08425210.250.01
2.4000e+0846569.920.01
2.5000e+08476012.680.02
2.6000e+08506413.530.02
2.7000e+08536714.450.02
2.8000e+08577114.450.02
2.9000e+08617614.520.02
3.0000e+08648015.670.02
3.1000e+08678416.890.02
3.2000e+08698819.180.02
3.3000e+08759317.550.02
3.4000e+08829714.980.02
3.5000e+088710114.480.02
3.6000e+089310613.040.01
3.7000e+089511115.670.02
3.8000e+0810011515.370.02
3.9000e+0810612014.130.01
4.0000e+0810812516.940.02
4.1000e+0811113018.820.02
4.2000e+0811613518.760.02
4.3000e+0812314016.760.02
4.4000e+0812514519.810.02
4.5000e+0812915020.930.02
4.6000e+0813215523.100.02
4.7000e+0813916021.320.02
4.8000e+0814716618.600.02
4.9000e+0815017120.930.02
5.0000e+0815517621.320.02
5.2000e+0817318714.240.01
5.4000e+0818819810.380.01
5.6000e+0819921010.710.01
5.8000e+0820822113.230.01
6.0000e+0821723315.950.01
6.2000e+0823124513.850.01
6.4000e+082502576.940.01
6.6000e+082602699.200.01
6.8000e+082762825.640.00
7.0000e+08298294-3.76-0.00
7.2000e+08310307-2.98-0.00
7.4000e+08331320-11.04-0.01
7.6000e+08349333-15.94-0.01
7.8000e+08368346-21.68-0.02
8.0000e+08382360-22.27-0.02
8.2000e+08394373-20.70-0.01
8.4000e+08405387-17.98-0.01
8.6000e+08420401-19.12-0.01
8.8000e+08435415-20.11-0.01
9.0000e+08450429-20.95-0.01
9.2000e+08464443-20.66-0.01
9.4000e+08482458-24.22-0.02
9.6000e+08503472-30.65-0.02
9.8000e+08520487-32.94-0.02
1.0000e+09534502-32.11-0.02
1.0500e+09576540-36.44-0.02
1.1000e+09612578-33.98-0.02
1.1500e+09650617-32.76-0.02
1.2000e+09690657-32.79-0.02
1.2500e+09745698-47.10-0.03
1.3000e+09786739-46.72-0.03
1.3500e+09819781-37.65-0.02
1.4000e+09857824-32.92-0.02
1.4500e+09908867-40.54-0.02
1.5000e+09943911-31.53-0.02
1.5500e+09995956-38.91-0.02
1.6000e+0910261001-24.69-0.01
1.6500e+0910661047-18.89-0.01
1.7000e+0911121093-18.50-0.01
1.7500e+0911581140-17.56-0.01
1.8000e+0912071188-19.07-0.01
1.8500e+0912621236-26.04-0.01
1.9000e+0913171285-32.48-0.02
1.9500e+0913661334-32.40-0.02
2.0000e+0914131383-29.82-0.01
2.1000e+0915101484-26.16-0.01
2.2000e+0916101586-23.58-0.01
2.3000e+0917181691-27.14-0.01
2.4000e+0918051797-7.90-0.00
2.5000e+0919251905-19.91-0.01
2.6000e+0920372015-22.23-0.01
2.7000e+0921412126-14.91-0.01
2.8000e+09223322396.010.00
2.9000e+09234723536.490.00
3.0000e+0924722469-2.52-0.00
3.1000e+0926012587-14.05-0.01
3.2000e+0927102706-4.14-0.00
3.3000e+0928382826-11.82-0.00
3.4000e+0929692948-21.13-0.01
3.5000e+09307030710.910.00
3.6000e+093184319511.260.00
3.7000e+0933213321-0.11-0.00
3.8000e+0934503448-2.21-0.00
3.9000e+09357535760.930.00
4.0000e+09370237053.270.00
4.1000e+0938403836-4.19-0.00
4.2000e+09396639681.510.00
4.3000e+094090410010.350.00
4.4000e+094222423412.320.00
4.5000e+094350436919.390.01
4.6000e+094463450642.550.01
4.7000e+094601464341.780.01
4.8000e+094722478159.050.02
4.9000e+094851492069.360.02
5.0000e+095003506157.690.02
5.2000e+095304534440.330.01
5.4000e+095598563233.860.01
5.6000e+095867592356.170.02
5.8000e+096185621833.140.01
6.0000e+0965216517-4.32-0.00
6.2000e+0968266819-7.29-0.00
6.4000e+0971497124-24.88-0.01
6.6000e+0974707433-37.16-0.01
6.8000e+0978017745-56.22-0.02
7.0000e+0980788060-18.11-0.00
7.2000e+0984088378-29.93-0.01
7.4000e+0987498699-49.73-0.01
7.6000e+0990679023-43.57-0.01
7.8000e+0993949350-43.53-0.01
8.0000e+0997099680-28.65-0.01
8.2000e+091003410013-21.00-0.01
8.4000e+091037210348-23.63-0.01
8.6000e+091070410686-17.58-0.00
8.8000e+091105411027-26.92-0.01
9.0000e+091140911370-38.67-0.01
9.2000e+091177711716-60.90-0.01
9.4000e+091214812064-83.65-0.02
9.6000e+091253212415-116.95-0.03
9.8000e+091290612768-137.85-0.03
1.0000e+101326413124-140.38-0.03
1.0500e+101411514022-92.62-0.02
1.1000e+101508914935-153.87-0.03
1.1500e+101602015861-158.64-0.03
1.2000e+101696416801-163.42-0.03
1.2500e+101790917752-156.62-0.03
1.3000e+101880118716-84.66-0.02
1.3500e+101979819692-105.92-0.02
1.4000e+102079220679-112.75-0.02
1.4500e+102179021678-112.48-0.02
1.5000e+102279722687-110.41-0.02
1.5500e+102384023706-133.85-0.03
1.6000e+102492724736-191.07-0.04
1.6500e+102595125776-175.32-0.03
1.7000e+102700226825-176.86-0.03
1.7500e+102802227884-137.92-0.02
1.8000e+102912228952-169.71-0.03
1.8500e+103018730030-157.45-0.03
1.9000e+103128631116-170.34-0.03
1.9500e+103231132210-100.57-0.02
2.0000e+103346333314-149.32-0.03
2.1000e+103564035545-95.07-0.02
2.2000e+103789437808-85.90-0.01
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