Gap size : 134 (r=67)

Generated by program gapCounts : Mon Jun 27 12:45:42 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+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+030-0-0.00-0.00
9.2000e+030-0-0.00-0.00
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+04000.000.00
1.2000e+04000.000.00
1.2500e+04000.000.00
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+05000.010.00
7.4000e+05000.010.00
7.6000e+05000.010.00
7.8000e+05000.010.00
8.0000e+05000.010.00
8.2000e+05000.010.00
8.4000e+05000.010.00
8.6000e+05000.010.00
8.8000e+05000.010.00
9.0000e+05000.010.00
9.2000e+05000.010.00
9.4000e+05000.010.00
9.6000e+05000.010.00
9.8000e+05000.010.00
1.0000e+06000.010.00
1.0500e+06000.010.00
1.1000e+06000.010.00
1.1500e+06000.020.00
1.2000e+06000.020.00
1.2500e+06000.020.00
1.3000e+06000.020.00
1.3500e+06000.020.00
1.4000e+06000.020.00
1.4500e+06000.030.00
1.5000e+06000.030.00
1.5500e+06000.030.00
1.6000e+06000.030.00
1.6500e+06000.030.00
1.7000e+06000.040.00
1.7500e+06000.040.00
1.8000e+06000.040.00
1.8500e+06000.040.00
1.9000e+06000.050.00
1.9500e+06000.050.00
2.0000e+06000.050.00
2.1000e+06000.060.00
2.2000e+06000.060.00
2.3000e+06000.070.00
2.4000e+06000.080.00
2.5000e+06000.080.00
2.6000e+06000.090.00
2.7000e+06000.100.00
2.8000e+06000.100.00
2.9000e+06000.110.00
3.0000e+06000.120.00
3.1000e+06000.130.00
3.2000e+06000.140.00
3.3000e+06000.140.00
3.4000e+06000.150.00
3.5000e+06000.160.00
3.6000e+06000.170.00
3.7000e+06000.180.00
3.8000e+06000.190.00
3.9000e+06000.200.00
4.0000e+06000.210.00
4.1000e+06000.220.00
4.2000e+06000.230.00
4.3000e+06000.240.00
4.4000e+06000.260.00
4.5000e+06000.270.00
4.6000e+06000.280.00
4.7000e+06000.290.00
4.8000e+06000.300.00
4.9000e+06000.310.00
5.0000e+06000.330.00
5.2000e+06000.350.00
5.4000e+06000.380.00
5.6000e+06000.410.00
5.8000e+06000.430.00
6.0000e+06000.460.00
6.2000e+06000.490.00
6.4000e+06010.520.00
6.6000e+06010.550.00
6.8000e+06010.580.00
7.0000e+0611-0.38-0.00
7.2000e+0611-0.35-0.00
7.4000e+0611-0.32-0.00
7.6000e+0611-0.28-0.00
7.8000e+0611-0.25-0.00
8.0000e+0611-0.21-0.00
8.2000e+0611-0.18-0.00
8.4000e+0611-0.14-0.00
8.6000e+0611-0.10-0.00
8.8000e+0611-0.06-0.00
9.0000e+0611-0.02-0.00
9.2000e+06110.020.00
9.4000e+06110.060.00
9.6000e+06110.100.00
9.8000e+06110.140.00
1.0000e+07110.180.00
1.0500e+07110.290.00
1.1000e+07110.400.00
1.1500e+07120.520.00
1.2000e+07120.640.00
1.2500e+07120.760.00
1.3000e+0722-0.12-0.00
1.3500e+07220.010.00
1.4000e+07220.140.00
1.4500e+07220.280.00
1.5000e+07220.420.00
1.5500e+0733-0.44-0.00
1.6000e+0753-2.29-0.01
1.6500e+0753-2.15-0.01
1.7000e+0753-2.00-0.01
1.7500e+0753-1.84-0.01
1.8000e+0763-2.69-0.01
1.8500e+0763-2.53-0.01
1.9000e+0764-2.37-0.01
1.9500e+0764-2.20-0.01
2.0000e+0764-2.03-0.01
2.1000e+0764-1.69-0.01
2.2000e+0765-1.34-0.00
2.3000e+0765-0.97-0.00
2.4000e+0765-0.60-0.00
2.5000e+0766-0.22-0.00
2.6000e+07660.170.00
2.7000e+0777-0.43-0.00
2.8000e+0777-0.02-0.00
2.9000e+0787-0.60-0.00
3.0000e+0798-1.17-0.00
3.1000e+0798-0.74-0.00
3.2000e+0799-0.30-0.00
3.3000e+07990.160.00
3.4000e+079100.610.00
3.5000e+079101.080.00
3.6000e+0710110.560.00
3.7000e+0710111.040.00
3.8000e+0711120.530.00
3.9000e+0712120.020.00
4.0000e+071313-0.47-0.00
4.1000e+071413-0.96-0.00
4.2000e+071414-0.44-0.00
4.3000e+0714140.080.00
4.4000e+071515-0.39-0.00
4.5000e+071615-0.85-0.00
4.6000e+071616-0.31-0.00
4.7000e+0716160.250.00
4.8000e+071717-0.20-0.00
4.9000e+071817-0.63-0.00
5.0000e+071818-0.06-0.00
5.2000e+0719190.090.00
5.4000e+0720200.270.00
5.6000e+0721210.480.00
5.8000e+0721231.710.00
6.0000e+0723240.960.00
6.2000e+0723252.230.01
6.4000e+0725271.520.00
6.6000e+0725282.830.01
6.8000e+0728291.170.00
7.0000e+0730310.520.00
7.2000e+0731320.890.00
7.4000e+0731332.280.00
7.6000e+0733351.700.00
7.8000e+0735361.130.00
8.0000e+0735382.570.01
8.2000e+0735394.040.01
8.4000e+0735415.520.01
8.6000e+0735427.030.01
8.8000e+0739444.540.01
9.0000e+0740455.080.01
9.2000e+0742474.630.01
9.4000e+0746482.200.00
9.6000e+0746503.780.01
9.8000e+0749512.380.00
1.0000e+0850533.000.01
1.0500e+0853574.100.01
1.1000e+0855616.300.01
1.1500e+0859666.590.01
1.2000e+0863706.970.01
1.2500e+0869745.430.01
1.3000e+0878790.980.00
1.3500e+088584-1.40-0.00
1.4000e+088988-0.69-0.00
1.4500e+089693-2.91-0.00
1.5000e+0897980.940.00
1.5500e+08103103-0.13-0.00
1.6000e+08109108-1.13-0.00
1.6500e+081111131.930.00
1.7000e+08119118-0.93-0.00
1.7500e+081221231.270.00
1.8000e+081281290.540.00
1.8500e+081331340.870.00
1.9000e+081341395.260.01
1.9500e+081391455.710.01
2.0000e+081471503.230.00
2.1000e+081541617.430.01
2.2000e+0816117311.860.02
2.3000e+081771857.520.01
2.4000e+0818419612.380.02
2.5000e+082022086.460.01
2.6000e+0820622114.730.02
2.7000e+0822123312.200.01
2.8000e+0823524610.850.01
2.9000e+082502598.690.01
3.0000e+082712720.710.00
3.1000e+08289285-4.09-0.00
3.2000e+08307298-8.73-0.01
3.3000e+08319312-7.19-0.01
3.4000e+08333326-7.50-0.01
3.5000e+08351339-11.64-0.01
3.6000e+08364353-10.63-0.01
3.7000e+08377368-9.47-0.01
3.8000e+08390382-8.16-0.01
3.9000e+08400396-3.70-0.00
4.0000e+08416411-5.10-0.01
4.1000e+08429426-3.35-0.00
4.2000e+08442441-1.47-0.00
4.3000e+084534562.540.00
4.4000e+08475471-4.31-0.00
4.5000e+08496486-10.03-0.01
4.6000e+08511501-9.62-0.01
4.7000e+08523517-6.08-0.01
4.8000e+08539533-6.42-0.01
4.9000e+08556548-7.64-0.01
5.0000e+08573564-8.74-0.01
5.2000e+08608596-11.58-0.01
5.4000e+08637629-7.97-0.01
5.6000e+08675662-12.90-0.01
5.8000e+08708696-12.41-0.01
6.0000e+08730730-0.49-0.00
6.2000e+087617642.840.00
6.4000e+08805799-6.43-0.01
6.6000e+088288345.700.00
6.8000e+088618698.200.01
7.0000e+0889290513.070.01
7.2000e+089349417.310.01
7.4000e+08979978-1.09-0.00
7.6000e+081004101510.850.01
7.8000e+081038105214.140.01
8.0000e+081068109021.760.02
8.2000e+081109112818.710.01
8.4000e+081148116617.970.01
8.6000e+08120212052.560.00
8.8000e+08124212431.450.00
9.0000e+08128212830.650.00
9.2000e+0813251322-2.86-0.00
9.4000e+0813771362-15.07-0.01
9.6000e+0814081402-6.00-0.00
9.8000e+0814491442-6.64-0.00
1.0000e+0914871483-4.00-0.00
1.0500e+0915871586-1.22-0.00
1.1000e+09168216908.200.01
1.1500e+0918001796-3.79-0.00
1.2000e+0919151904-11.24-0.01
1.2500e+0920242013-11.23-0.01
1.3000e+0921372123-13.78-0.01
1.3500e+0922692235-33.95-0.02
1.4000e+0923922348-43.77-0.02
1.4500e+0924932463-30.29-0.02
1.5000e+0926322578-53.55-0.03
1.5500e+0927612695-65.58-0.04
1.6000e+0928712814-57.40-0.03
1.6500e+0929912933-58.06-0.03
1.7000e+0931293053-75.59-0.04
1.7500e+0932363175-61.00-0.03
1.8000e+0933513298-53.32-0.03
1.8500e+0934923421-70.59-0.04
1.9000e+0936183546-71.82-0.04
1.9500e+0937493672-77.04-0.04
2.0000e+0938813799-82.26-0.04
2.1000e+0941174055-61.83-0.03
2.2000e+0943624315-46.66-0.02
2.3000e+0946604579-80.90-0.04
2.4000e+0949394846-92.69-0.04
2.5000e+0952075117-90.14-0.04
2.6000e+0954725391-81.37-0.03
2.7000e+0957595668-91.48-0.04
2.8000e+0960475947-99.57-0.04
2.9000e+0963456230-114.72-0.05
3.0000e+0966016516-85.04-0.03
3.1000e+0969046804-99.59-0.04
3.2000e+0971597096-63.45-0.02
3.3000e+0974567389-66.69-0.03
3.4000e+0977687686-82.38-0.03
3.5000e+0981047984-119.58-0.04
3.6000e+0984038286-117.36-0.04
3.7000e+0987338589-143.77-0.05
3.8000e+0990468895-150.87-0.05
3.9000e+0993479203-143.71-0.05
4.0000e+0996629514-148.33-0.05
4.1000e+09100039826-176.78-0.06
4.2000e+091028810141-147.12-0.05
4.3000e+091061810458-160.38-0.05
4.4000e+091091610776-139.61-0.05
4.5000e+091123611097-138.84-0.05
4.6000e+091156611420-146.11-0.05
4.7000e+091190011745-155.46-0.05
4.8000e+091223212071-160.93-0.05
4.9000e+091254712399-147.54-0.05
5.0000e+091288512730-155.33-0.05
5.2000e+091361513395-219.59-0.07
5.4000e+091430714068-238.93-0.07
5.6000e+091500114747-253.57-0.08
5.8000e+091568415433-250.73-0.07
6.0000e+091635216125-226.59-0.07
6.2000e+091704616824-222.34-0.06
6.4000e+091777117528-243.15-0.07
6.6000e+091850218238-264.18-0.07
6.8000e+091917918953-225.59-0.06
7.0000e+091986719674-192.51-0.05
7.2000e+092062620401-225.09-0.06
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