Gap size : 124 (r=62)

Generated by program gapCounts : Mon Jun 27 12:45:28 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+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+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+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+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+05000.010.00
4.2000e+05000.010.00
4.3000e+05000.010.00
4.4000e+05000.010.00
4.5000e+05000.010.00
4.6000e+05000.010.00
4.7000e+05000.010.00
4.8000e+05000.010.00
4.9000e+05000.010.00
5.0000e+05000.010.00
5.2000e+05000.010.00
5.4000e+05000.010.00
5.6000e+05000.010.00
5.8000e+05000.010.00
6.0000e+05000.010.00
6.2000e+05000.010.00
6.4000e+05000.010.00
6.6000e+05000.020.00
6.8000e+05000.020.00
7.0000e+05000.020.00
7.2000e+05000.020.00
7.4000e+05000.020.00
7.6000e+05000.020.00
7.8000e+05000.020.00
8.0000e+05000.020.00
8.2000e+05000.030.00
8.4000e+05000.030.00
8.6000e+05000.030.00
8.8000e+05000.030.00
9.0000e+05000.030.00
9.2000e+05000.030.00
9.4000e+05000.030.00
9.6000e+05000.040.00
9.8000e+05000.040.00
1.0000e+06000.040.00
1.0500e+06000.040.00
1.1000e+06000.050.00
1.1500e+06000.050.00
1.2000e+06000.060.00
1.2500e+06000.060.00
1.3000e+06000.070.00
1.3500e+06000.080.00
1.4000e+06000.080.00
1.4500e+06000.090.00
1.5000e+06000.090.00
1.5500e+06000.100.00
1.6000e+06000.110.00
1.6500e+06000.110.00
1.7000e+06000.120.00
1.7500e+06000.130.00
1.8000e+06000.140.00
1.8500e+06000.140.00
1.9000e+06000.150.00
1.9500e+06000.160.00
2.0000e+06000.170.00
2.1000e+06000.180.00
2.2000e+06000.200.00
2.3000e+06000.220.00
2.4000e+06000.240.00
2.5000e+06000.260.00
2.6000e+06000.280.00
2.7000e+06000.300.00
2.8000e+06000.320.00
2.9000e+06000.350.00
3.0000e+06000.370.00
3.1000e+06000.390.00
3.2000e+06000.420.00
3.3000e+06000.440.00
3.4000e+06000.470.00
3.5000e+06000.490.00
3.6000e+06010.520.00
3.7000e+06010.550.00
3.8000e+06010.580.00
3.9000e+06010.610.00
4.0000e+06010.630.00
4.1000e+06010.660.00
4.2000e+06010.690.01
4.3000e+06010.730.01
4.4000e+06010.760.01
4.5000e+06010.790.01
4.6000e+06010.820.01
4.7000e+06010.850.01
4.8000e+06010.890.01
4.9000e+06010.920.01
5.0000e+06010.960.01
5.2000e+06011.030.01
5.4000e+06011.100.01
5.6000e+06011.170.01
5.8000e+06011.250.01
6.0000e+06011.330.01
6.2000e+06011.410.01
6.4000e+06011.490.01
6.6000e+06021.570.01
6.8000e+06120.660.00
7.0000e+0622-0.26-0.00
7.2000e+0622-0.17-0.00
7.4000e+0622-0.08-0.00
7.6000e+06220.020.00
7.8000e+06220.110.00
8.0000e+06220.200.00
8.2000e+06220.300.00
8.4000e+06220.400.00
8.6000e+06220.500.00
8.8000e+06230.600.00
9.0000e+06230.700.00
9.2000e+06230.810.00
9.4000e+06230.910.00
9.6000e+06231.020.01
9.8000e+0643-0.87-0.00
1.0000e+0743-0.76-0.00
1.0500e+0754-1.48-0.01
1.1000e+0754-1.19-0.01
1.1500e+0754-0.89-0.00
1.2000e+0754-0.58-0.00
1.2500e+0755-0.27-0.00
1.3000e+07550.050.00
1.3500e+07550.380.00
1.4000e+07560.720.00
1.4500e+07561.060.00
1.5000e+0776-0.59-0.00
1.5500e+0777-0.23-0.00
1.6000e+07770.140.00
1.6500e+07780.510.00
1.7000e+07780.890.00
1.7500e+07781.270.01
1.8000e+07791.660.01
1.8500e+07792.060.01
1.9000e+07792.460.01
1.9500e+077102.870.01
2.0000e+077103.280.01
2.1000e+078113.130.01
2.2000e+079123.000.01
2.3000e+0710132.890.01
2.4000e+0711142.800.01
2.5000e+0713151.730.01
2.6000e+0713162.680.01
2.7000e+0715171.660.01
2.8000e+0715182.650.01
2.9000e+0716192.660.01
3.0000e+0716203.680.01
3.1000e+0716214.730.01
3.2000e+0718223.790.01
3.3000e+0718234.870.01
3.4000e+0719244.970.01
3.5000e+0719256.080.02
3.6000e+0719267.210.02
3.7000e+0721276.350.02
3.8000e+0721297.510.02
3.9000e+0723306.690.02
4.0000e+0724316.880.02
4.1000e+0726326.080.02
4.2000e+0729334.300.01
4.3000e+0730354.530.01
4.4000e+0731364.780.01
4.5000e+0732375.040.01
4.6000e+0733385.320.01
4.7000e+0737402.600.01
4.8000e+0739411.910.00
4.9000e+0742420.220.00
5.0000e+074644-2.46-0.01
5.2000e+074746-0.77-0.00
5.4000e+0748490.970.00
5.6000e+0751520.760.00
5.8000e+075555-0.41-0.00
6.0000e+075857-0.53-0.00
6.2000e+076460-3.61-0.01
6.4000e+076763-3.64-0.01
6.6000e+077366-6.64-0.01
6.8000e+077769-7.59-0.02
7.0000e+078073-7.50-0.02
7.2000e+078376-7.37-0.02
7.4000e+078579-6.20-0.01
7.6000e+078682-4.00-0.01
7.8000e+079485-8.76-0.02
8.0000e+079789-8.48-0.02
8.2000e+0710292-10.16-0.02
8.4000e+0710895-12.81-0.03
8.6000e+0711599-16.43-0.03
8.8000e+07121102-19.01-0.04
9.0000e+07121105-15.56-0.03
9.2000e+07124109-15.08-0.03
9.4000e+07130112-17.56-0.03
9.6000e+07135116-19.01-0.04
9.8000e+07140120-20.43-0.04
1.0000e+08145123-21.82-0.04
1.0500e+08153132-20.66-0.04
1.1000e+08161142-19.32-0.03
1.1500e+08171151-19.80-0.03
1.2000e+08183161-22.11-0.04
1.2500e+08189171-18.26-0.03
1.3000e+08198181-17.24-0.03
1.3500e+08208191-17.07-0.03
1.4000e+08215201-13.74-0.02
1.4500e+08231212-19.27-0.03
1.5000e+08242222-19.66-0.03
1.5500e+08251233-17.90-0.03
1.6000e+08270244-26.01-0.04
1.6500e+08283255-27.99-0.04
1.7000e+08292266-25.83-0.04
1.7500e+08307277-29.55-0.04
1.8000e+08319289-30.14-0.04
1.8500e+08333300-32.62-0.05
1.9000e+08342312-29.97-0.04
1.9500e+08358324-34.21-0.05
2.0000e+08371336-35.33-0.05
2.1000e+08386360-26.24-0.03
2.2000e+08410384-25.73-0.03
2.3000e+08434409-24.79-0.03
2.4000e+08453435-18.46-0.02
2.5000e+08489460-28.73-0.04
2.6000e+08511486-24.64-0.03
2.7000e+08536513-23.17-0.03
2.8000e+08555540-15.36-0.02
2.9000e+08574567-7.20-0.01
3.0000e+08605594-10.70-0.01
3.1000e+08635622-12.88-0.01
3.2000e+08655650-4.75-0.01
3.3000e+08691679-12.30-0.01
3.4000e+08729707-21.56-0.02
3.5000e+08756736-19.52-0.02
3.6000e+08786766-20.20-0.02
3.7000e+08808795-12.59-0.01
3.8000e+08843825-17.71-0.02
3.9000e+08871855-15.56-0.02
4.0000e+08901886-15.15-0.02
4.1000e+08937917-20.48-0.02
4.2000e+08966947-18.56-0.02
4.3000e+081003979-24.39-0.02
4.4000e+0810361010-25.98-0.02
4.5000e+0810641042-22.32-0.02
4.6000e+0810951074-21.44-0.02
4.7000e+0811351106-29.32-0.03
4.8000e+0811701138-31.98-0.03
4.9000e+0811971171-26.42-0.02
5.0000e+0812351203-31.64-0.03
5.2000e+0812981270-28.44-0.03
5.4000e+0813761337-39.41-0.03
5.6000e+0814411404-36.57-0.03
5.8000e+0815141473-40.95-0.03
6.0000e+0815811542-38.57-0.03
6.2000e+0816601613-47.45-0.04
6.4000e+0817421683-58.61-0.05
6.6000e+0818231755-68.07-0.05
6.8000e+0818761827-48.85-0.04
7.0000e+0819481900-47.96-0.04
7.2000e+0820251974-51.43-0.04
7.4000e+0820972048-49.26-0.04
7.6000e+0821722123-49.47-0.04
7.8000e+0822462198-48.07-0.04
8.0000e+0823172274-43.08-0.03
8.2000e+0823812350-30.51-0.02
8.4000e+0824752428-47.37-0.03
8.6000e+0825582505-52.67-0.04
8.8000e+0826412584-57.43-0.04
9.0000e+0827252662-62.65-0.04
9.2000e+0828162742-74.35-0.05
9.4000e+0828952821-73.53-0.05
9.6000e+0829842902-82.20-0.05
9.8000e+0830612983-78.37-0.05
1.0000e+0931363064-72.05-0.05
1.0500e+0933413269-71.68-0.05
1.1000e+0935263478-48.42-0.03
1.1500e+0937243689-35.38-0.02
1.2000e+0939293902-26.68-0.02
1.2500e+0941404119-21.40-0.01
1.3000e+0943594337-21.63-0.01
1.3500e+094542455916.540.01
1.4000e+09478247820.040.00
1.4500e+09500750080.790.00
1.5000e+09523152364.730.00
1.5500e+095450546615.800.01
1.6000e+095675569822.930.01
1.6500e+095894593238.080.02
1.7000e+096122616846.180.02
1.7500e+096343640663.190.03
1.8000e+096580664666.060.03
1.8500e+096806688881.740.04
1.9000e+0970257131106.200.05
1.9500e+0972707376106.390.05
2.0000e+0975217623102.270.05
2.1000e+098047812274.970.04
2.2000e+098577862750.020.02
2.3000e+099053913885.170.04
2.4000e+0995189655137.190.06
2.5000e+091004310178134.850.06
2.6000e+091060510706100.970.04
2.7000e+091111511239124.350.05
2.8000e+091165911778118.830.05
2.9000e+091215012321171.250.07
3.0000e+091270912869160.440.06
3.1000e+091326213422160.280.06
3.2000e+091381613980163.630.06
3.3000e+091437314541168.370.06
3.4000e+091497015107137.370.05
3.5000e+091554415678133.530.05
3.6000e+091611616252135.740.05
3.7000e+091668816830141.900.05
3.8000e+091729017412121.910.04
3.9000e+091788717998110.690.04
4.0000e+091846218587125.150.04
4.1000e+091903719180143.210.05
4.2000e+091965619777120.780.04
4.3000e+092021320377163.800.06
4.4000e+092085120980129.190.04
4.5000e+092146021587126.880.04
4.6000e+092207322197123.810.04
4.7000e+092269722810112.920.04
4.8000e+092328323426143.140.05
4.9000e+092388224045163.410.05
5.0000e+092453524668132.690.04
5.2000e+092579825921123.030.04
5.4000e+09270892718696.750.03
5.6000e+09283812846180.460.02
5.8000e+09296492974898.830.03
6.0000e+093089931045145.500.04
6.2000e+093223432351117.180.03
6.4000e+09335873366880.580.02
6.6000e+093488834993105.410.03
6.8000e+09362383632890.410.02
7.0000e+09376343767238.360.01
7.2000e+09389913902534.000.01
7.4000e+094042740386-40.87-0.01
7.6000e+094179841756-42.46-0.01
7.8000e+094315643133-22.98-0.01
8.0000e+094457444518-55.61-0.01
8.2000e+094594745911-35.52-0.01
8.4000e+094740547312-92.90-0.02
8.6000e+094878748720-66.91-0.02
8.8000e+095020250135-66.69-0.02
9.0000e+095160551558-47.41-0.01
9.2000e+095307152987-84.19-0.02
9.4000e+095455054423-127.19-0.03
9.6000e+095603855865-172.54-0.04
9.8000e+095744757315-132.35-0.03
1.0000e+105887658770-105.75-0.02
1.0500e+1062436624370.520.00
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