Gap size : 146 (r=73)

Generated by program gapCounts : Mon Jun 27 12:45:58 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+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+030-0-0.00-0.00
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+04000.000.00
1.3500e+04000.000.00
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+06000.010.00
1.3500e+06000.010.00
1.4000e+06000.010.00
1.4500e+06000.010.00
1.5000e+06000.010.00
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+06000.020.00
2.2000e+06000.020.00
2.3000e+06000.020.00
2.4000e+06000.020.00
2.5000e+06000.020.00
2.6000e+06000.020.00
2.7000e+06000.030.00
2.8000e+06000.030.00
2.9000e+06000.030.00
3.0000e+06000.030.00
3.1000e+06000.040.00
3.2000e+06000.040.00
3.3000e+06000.040.00
3.4000e+06000.040.00
3.5000e+06000.050.00
3.6000e+06000.050.00
3.7000e+06000.050.00
3.8000e+06000.060.00
3.9000e+06000.060.00
4.0000e+06000.060.00
4.1000e+06000.060.00
4.2000e+06000.070.00
4.3000e+06000.070.00
4.4000e+06000.070.00
4.5000e+06000.080.00
4.6000e+06000.080.00
4.7000e+06000.090.00
4.8000e+06000.090.00
4.9000e+06000.090.00
5.0000e+06000.100.00
5.2000e+06000.110.00
5.4000e+06000.110.00
5.6000e+06000.120.00
5.8000e+06000.130.00
6.0000e+06000.140.00
6.2000e+0610-0.85-0.01
6.4000e+0610-0.84-0.01
6.6000e+0610-0.83-0.01
6.8000e+0610-0.82-0.00
7.0000e+0610-0.81-0.00
7.2000e+0610-0.80-0.00
7.4000e+0610-0.79-0.00
7.6000e+0610-0.78-0.00
7.8000e+0610-0.76-0.00
8.0000e+0610-0.75-0.00
8.2000e+0610-0.74-0.00
8.4000e+0610-0.73-0.00
8.6000e+0610-0.72-0.00
8.8000e+0610-0.70-0.00
9.0000e+0610-0.69-0.00
9.2000e+0610-0.68-0.00
9.4000e+0610-0.66-0.00
9.6000e+0610-0.65-0.00
9.8000e+0610-0.63-0.00
1.0000e+0710-0.62-0.00
1.0500e+0710-0.58-0.00
1.1000e+0710-0.55-0.00
1.1500e+0710-0.51-0.00
1.2000e+0711-0.47-0.00
1.2500e+0711-0.42-0.00
1.3000e+0711-0.38-0.00
1.3500e+0711-0.33-0.00
1.4000e+0711-0.29-0.00
1.4500e+0711-0.24-0.00
1.5000e+0711-0.19-0.00
1.5500e+0711-0.14-0.00
1.6000e+0711-0.09-0.00
1.6500e+0711-0.04-0.00
1.7000e+07110.020.00
1.7500e+07110.070.00
1.8000e+07110.130.00
1.8500e+07110.180.00
1.9000e+07110.240.00
1.9500e+07110.300.00
2.0000e+07110.360.00
2.1000e+07110.490.00
2.2000e+07120.610.00
2.3000e+07120.750.00
2.4000e+07120.880.00
2.5000e+07220.020.00
2.6000e+07220.170.00
2.7000e+07220.320.00
2.8000e+07220.470.00
2.9000e+0733-0.38-0.00
3.0000e+0733-0.22-0.00
3.1000e+0733-0.06-0.00
3.2000e+07330.110.00
3.3000e+07330.280.00
3.4000e+07330.450.00
3.5000e+07340.630.00
3.6000e+07340.810.00
3.7000e+07340.990.00
3.8000e+07341.180.00
3.9000e+07341.370.00
4.0000e+07351.560.00
4.1000e+07351.750.00
4.2000e+07351.950.01
4.3000e+07352.150.01
4.4000e+07352.360.01
4.5000e+07362.560.01
4.6000e+07362.770.01
4.7000e+07362.990.01
4.8000e+07363.200.01
4.9000e+07363.420.01
5.0000e+07472.640.01
5.2000e+07572.090.01
5.4000e+07681.550.00
5.6000e+07781.020.00
5.8000e+07791.500.00
6.0000e+07791.990.00
6.2000e+07990.490.00
6.4000e+079101.000.00
6.6000e+071211-1.48-0.00
6.8000e+071211-0.95-0.00
7.0000e+071212-0.41-0.00
7.2000e+071312-0.87-0.00
7.4000e+071413-1.31-0.00
7.6000e+071613-2.75-0.01
7.8000e+071714-3.18-0.01
8.0000e+071814-3.59-0.01
8.2000e+071815-3.01-0.01
8.4000e+071816-2.41-0.00
8.6000e+071816-1.81-0.00
8.8000e+071917-2.19-0.00
9.0000e+071917-1.57-0.00
9.2000e+072118-2.95-0.01
9.4000e+072119-2.31-0.00
9.6000e+072119-1.67-0.00
9.8000e+072120-1.02-0.00
1.0000e+082221-1.36-0.00
1.0500e+082322-0.69-0.00
1.1000e+0824240.030.00
1.1500e+0824261.790.00
1.2000e+0825282.590.00
1.2500e+0827292.430.00
1.3000e+0829312.310.00
1.3500e+0832331.230.00
1.4000e+0833352.180.00
1.4500e+0834373.170.00
1.5000e+0836393.190.00
1.5500e+0837414.250.01
1.6000e+0839434.350.01
1.6500e+0840455.470.01
1.7000e+0841486.630.01
1.7500e+0844505.820.01
1.8000e+0846526.040.01
1.8500e+0847547.300.01
1.9000e+0849577.580.01
1.9500e+0851597.890.01
2.0000e+0853618.230.01
2.1000e+0860666.000.01
2.2000e+0865715.880.01
2.3000e+0870765.860.01
2.4000e+0879811.950.00
2.5000e+088986-2.86-0.00
2.6000e+089591-3.57-0.00
2.7000e+0810097-3.19-0.00
2.8000e+08106102-3.71-0.00
2.9000e+08111108-3.14-0.00
3.0000e+08114114-0.49-0.00
3.1000e+081151194.250.00
3.2000e+081221253.080.00
3.3000e+08136131-5.01-0.01
3.4000e+08143137-6.02-0.01
3.5000e+08149143-5.95-0.01
3.6000e+08158149-8.80-0.01
3.7000e+08166155-10.57-0.01
3.8000e+08170162-8.27-0.01
3.9000e+08172168-3.90-0.00
4.0000e+08177175-2.45-0.00
4.1000e+08183181-1.94-0.00
4.2000e+081871880.650.00
4.3000e+08195194-0.70-0.00
4.4000e+08203201-1.98-0.00
4.5000e+08208208-0.19-0.00
4.6000e+08219215-4.34-0.00
4.7000e+08226222-4.42-0.00
4.8000e+08231229-2.44-0.00
4.9000e+08238236-2.40-0.00
5.0000e+08246243-3.30-0.00
5.2000e+08267257-9.91-0.01
5.4000e+08281272-9.29-0.01
5.6000e+08300287-13.44-0.01
5.8000e+08316302-14.37-0.01
6.0000e+08323317-6.08-0.01
6.2000e+08346332-13.58-0.01
6.4000e+08354348-5.88-0.00
6.6000e+08368364-3.97-0.00
6.8000e+08384380-3.86-0.00
7.0000e+08405396-8.57-0.01
7.2000e+08421413-8.08-0.01
7.4000e+08440430-10.41-0.01
7.6000e+08453446-6.56-0.00
7.8000e+08469463-5.53-0.00
8.0000e+08489481-8.32-0.01
8.2000e+08507498-8.95-0.01
8.4000e+08532516-16.40-0.01
8.6000e+08550533-16.70-0.01
8.8000e+08567551-15.83-0.01
9.0000e+08581569-11.80-0.01
9.2000e+08591587-3.61-0.00
9.4000e+08609606-3.27-0.00
9.6000e+086246240.220.00
9.8000e+08645643-2.14-0.00
1.0000e+09668662-6.36-0.00
1.0500e+09720709-10.76-0.01
1.1000e+09777758-19.29-0.01
1.1500e+09812807-4.99-0.00
1.2000e+098538574.130.00
1.2500e+099039085.040.00
1.3000e+09964960-4.29-0.00
1.3500e+0910331012-20.89-0.01
1.4000e+0910861065-20.76-0.01
1.4500e+0911481119-28.93-0.02
1.5000e+0912001174-26.42-0.01
1.5500e+0912551229-26.25-0.01
1.6000e+0913101285-25.44-0.01
1.6500e+0913661341-24.99-0.01
1.7000e+0914191398-20.93-0.01
1.7500e+0914801456-24.27-0.01
1.8000e+0915421514-28.02-0.01
1.8500e+0916071573-34.19-0.02
1.9000e+0916681632-35.81-0.02
1.9500e+0917271692-34.87-0.02
2.0000e+0917761753-23.39-0.01
2.1000e+0918961875-20.85-0.01
2.2000e+0920232000-23.28-0.01
2.3000e+0921672126-40.73-0.02
2.4000e+0922922255-37.30-0.02
2.5000e+0924102385-25.03-0.01
2.6000e+0925562517-38.98-0.02
2.7000e+0926852651-34.21-0.01
2.8000e+0928332786-46.77-0.02
2.9000e+0929892923-65.71-0.03
3.0000e+0931303062-68.07-0.03
3.1000e+0932413202-38.90-0.02
3.2000e+0933613344-17.23-0.01
3.3000e+0934963487-9.10-0.00
3.4000e+0936413631-9.55-0.00
3.5000e+09377337774.390.00
3.6000e+0939303925-5.32-0.00
3.7000e+09407240731.300.00
3.8000e+09421842235.210.00
3.9000e+0943754374-0.60-0.00
4.0000e+094510452716.830.01
4.1000e+094667468013.470.00
4.2000e+0948394835-3.69-0.00
4.3000e+0950014991-9.69-0.00
4.4000e+0951665148-17.53-0.01
4.5000e+0953295307-22.25-0.01
4.6000e+0954985466-31.86-0.01
4.7000e+0956365627-9.39-0.00
4.8000e+0957925788-3.85-0.00
4.9000e+09594159519.740.00
5.0000e+096091611423.360.01
5.2000e+096409644535.640.01
5.4000e+096733677945.840.01
5.6000e+097058711758.850.02
5.8000e+097405745953.560.02
6.0000e+097759780444.870.01
6.2000e+098081815371.660.02
6.4000e+098473850531.860.01
6.6000e+098813886047.370.01
6.8000e+099172921947.110.01
7.0000e+099519958162.000.02
7.2000e+099895994650.970.01
7.4000e+09102671031446.930.01
7.6000e+09106131068571.840.02
7.8000e+09109611105997.620.03
8.0000e+091133011435105.200.03
8.2000e+091171411815100.540.03
8.4000e+091206912197127.580.03
8.6000e+091246412581117.250.03
8.8000e+091283212969136.520.03
9.0000e+091323313358125.320.03
9.2000e+09136571375193.620.02
9.4000e+09140481414597.370.02
9.6000e+09144681454374.520.02
9.8000e+09148621494280.040.02
1.0000e+10152891534454.870.01
1.0500e+101624916358109.360.02
1.1000e+10173241738762.550.01
1.1500e+10183631842864.900.01
1.2000e+101937819482103.930.02
1.2500e+102043620548112.190.02
1.3000e+10215442162682.270.02
1.3500e+10226932271622.770.00
1.4000e+10237792381637.350.01
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