Gap size : 142 (r=71)

Generated by program gapCounts : Mon Jun 27 12:45:53 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+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+040-0-0.00-0.00
1.2000e+040-0-0.00-0.00
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+05000.000.00
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+06000.010.00
1.1000e+06000.010.00
1.1500e+06000.010.00
1.2000e+06000.010.00
1.2500e+06000.010.00
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+06000.020.00
1.7000e+06000.020.00
1.7500e+06000.020.00
1.8000e+06000.020.00
1.8500e+06000.020.00
1.9000e+06000.020.00
1.9500e+06000.020.00
2.0000e+06000.020.00
2.1000e+06000.030.00
2.2000e+06000.030.00
2.3000e+06000.030.00
2.4000e+06000.030.00
2.5000e+06000.040.00
2.6000e+06000.040.00
2.7000e+06000.040.00
2.8000e+06000.050.00
2.9000e+06000.050.00
3.0000e+06000.060.00
3.1000e+06000.060.00
3.2000e+06000.060.00
3.3000e+06000.070.00
3.4000e+06000.070.00
3.5000e+06000.080.00
3.6000e+06000.080.00
3.7000e+06000.090.00
3.8000e+06000.090.00
3.9000e+06000.100.00
4.0000e+06000.100.00
4.1000e+06000.110.00
4.2000e+06000.110.00
4.3000e+06000.120.00
4.4000e+06000.120.00
4.5000e+06000.130.00
4.6000e+06000.130.00
4.7000e+06000.140.00
4.8000e+06000.150.00
4.9000e+06000.150.00
5.0000e+06000.160.00
5.2000e+06000.170.00
5.4000e+06000.180.00
5.6000e+06000.200.00
5.8000e+06000.210.00
6.0000e+06000.230.00
6.2000e+06000.240.00
6.4000e+06000.260.00
6.6000e+06000.270.00
6.8000e+06000.290.00
7.0000e+06000.300.00
7.2000e+06000.320.00
7.4000e+06000.340.00
7.6000e+06000.360.00
7.8000e+06000.370.00
8.0000e+06000.390.00
8.2000e+06000.410.00
8.4000e+06000.430.00
8.6000e+06000.450.00
8.8000e+06000.470.00
9.0000e+06000.490.00
9.2000e+06010.510.00
9.4000e+06010.530.00
9.6000e+06010.550.00
9.8000e+06010.580.00
1.0000e+07010.600.00
1.0500e+0711-0.35-0.00
1.1000e+0711-0.29-0.00
1.1500e+0711-0.23-0.00
1.2000e+0711-0.16-0.00
1.2500e+0711-0.10-0.00
1.3000e+0711-0.03-0.00
1.3500e+07110.040.00
1.4000e+07110.110.00
1.4500e+0721-0.82-0.00
1.5000e+0721-0.75-0.00
1.5500e+0721-0.67-0.00
1.6000e+0721-0.60-0.00
1.6500e+0721-0.52-0.00
1.7000e+0722-0.43-0.00
1.7500e+0722-0.35-0.00
1.8000e+0722-0.27-0.00
1.8500e+0722-0.18-0.00
1.9000e+0722-0.09-0.00
1.9500e+0722-0.01-0.00
2.0000e+07220.080.00
2.1000e+07220.270.00
2.2000e+07220.460.00
2.3000e+0733-0.34-0.00
2.4000e+0733-0.14-0.00
2.5000e+07330.070.00
2.6000e+07330.290.00
2.7000e+0744-0.49-0.00
2.8000e+0744-0.27-0.00
2.9000e+0744-0.04-0.00
3.0000e+07440.200.00
3.1000e+07440.440.00
3.2000e+0755-0.32-0.00
3.3000e+0765-1.07-0.00
3.4000e+0765-0.81-0.00
3.5000e+0765-0.55-0.00
3.6000e+0766-0.29-0.00
3.7000e+0766-0.02-0.00
3.8000e+07660.260.00
3.9000e+07670.530.00
4.0000e+07670.810.00
4.1000e+07671.100.00
4.2000e+07671.390.00
4.3000e+07780.690.00
4.4000e+0788-0.02-0.00
4.5000e+0798-0.71-0.00
4.6000e+0799-0.41-0.00
4.7000e+0799-0.10-0.00
4.8000e+07990.220.00
4.9000e+079100.540.00
5.0000e+079100.860.00
5.2000e+079111.510.00
5.4000e+0711110.180.00
5.6000e+0711120.870.00
5.8000e+071313-0.44-0.00
6.0000e+071513-1.73-0.00
6.2000e+071514-1.00-0.00
6.4000e+071615-1.26-0.00
6.6000e+071615-0.51-0.00
6.8000e+0716160.250.00
7.0000e+071817-0.97-0.00
7.2000e+071818-0.19-0.00
7.4000e+072119-2.39-0.01
7.6000e+072119-1.58-0.00
7.8000e+072420-3.75-0.01
8.0000e+072521-3.92-0.01
8.2000e+072522-3.07-0.01
8.4000e+072623-3.22-0.01
8.6000e+072724-3.35-0.01
8.8000e+072825-3.47-0.01
9.0000e+072825-2.58-0.00
9.2000e+072926-2.68-0.01
9.4000e+073027-2.78-0.01
9.6000e+073028-1.86-0.00
9.8000e+073029-0.93-0.00
1.0000e+0830300.010.00
1.0500e+083332-0.60-0.00
1.1000e+0833351.850.00
1.1500e+083837-0.64-0.00
1.2000e+084240-2.08-0.00
1.2500e+084643-3.47-0.01
1.3000e+084745-1.80-0.00
1.3500e+084948-1.08-0.00
1.4000e+085251-1.32-0.00
1.4500e+085854-4.50-0.01
1.5000e+086356-6.64-0.01
1.5500e+087159-11.73-0.02
1.6000e+087362-10.77-0.02
1.6500e+087665-10.77-0.02
1.7000e+088068-11.73-0.02
1.7500e+088771-15.64-0.02
1.8000e+089074-15.51-0.02
1.8500e+089578-17.34-0.02
1.9000e+089581-14.13-0.02
1.9500e+089984-14.89-0.02
2.0000e+0810187-13.60-0.02
2.1000e+0810894-13.91-0.02
2.2000e+08114101-13.07-0.02
2.3000e+08120108-12.10-0.02
2.4000e+08125115-9.98-0.01
2.5000e+08131122-8.73-0.01
2.6000e+08144130-14.35-0.02
2.7000e+08157137-19.84-0.02
2.8000e+08160145-15.21-0.02
2.9000e+08165153-12.46-0.01
3.0000e+08177160-16.59-0.02
3.1000e+08190168-21.60-0.02
3.2000e+08195176-18.51-0.02
3.3000e+08205185-20.30-0.02
3.4000e+08207193-13.99-0.01
3.5000e+08210201-8.57-0.01
3.6000e+08223210-13.05-0.01
3.7000e+08229219-10.43-0.01
3.8000e+08238227-10.72-0.01
3.9000e+08247236-10.90-0.01
4.0000e+08255245-9.99-0.01
4.1000e+08266254-11.99-0.01
4.2000e+08281263-17.90-0.02
4.3000e+08290272-17.71-0.02
4.4000e+08304282-22.44-0.02
4.5000e+08310291-19.08-0.02
4.6000e+08325300-24.64-0.02
4.7000e+08334310-24.11-0.02
4.8000e+08343319-23.50-0.02
4.9000e+08359329-29.81-0.03
5.0000e+08368339-29.04-0.03
5.2000e+08393359-34.26-0.03
5.4000e+08415379-36.18-0.03
5.6000e+08443399-43.79-0.04
5.8000e+08469420-49.12-0.04
6.0000e+08487441-46.17-0.04
6.2000e+08508462-45.94-0.04
6.4000e+08528484-44.44-0.04
6.6000e+08553505-47.68-0.04
6.8000e+08572527-44.66-0.03
7.0000e+08592550-42.39-0.03
7.2000e+08610572-37.88-0.03
7.4000e+08627595-32.12-0.02
7.6000e+08651618-33.14-0.02
7.8000e+08675641-33.92-0.02
8.0000e+08697665-32.47-0.02
8.2000e+08719688-30.81-0.02
8.4000e+08737712-24.93-0.02
8.6000e+08759736-22.83-0.02
8.8000e+08787760-26.53-0.02
9.0000e+08817785-32.02-0.02
9.2000e+08838810-28.30-0.02
9.4000e+08867835-32.39-0.02
9.6000e+08901860-41.29-0.03
9.8000e+08931885-45.99-0.03
1.0000e+09953911-42.50-0.03
1.0500e+091019975-43.97-0.03
1.1000e+0910891041-48.32-0.03
1.1500e+0911541107-46.58-0.03
1.2000e+0912301175-54.80-0.03
1.2500e+0912961244-52.01-0.03
1.3000e+0913551314-41.25-0.02
1.3500e+0914321384-47.53-0.03
1.4000e+0914871456-30.89-0.02
1.4500e+0915631529-34.36-0.02
1.5000e+0916331602-30.96-0.02
1.5500e+0917051676-28.71-0.02
1.6000e+0917931751-41.63-0.02
1.6500e+0918691827-41.75-0.02
1.7000e+0919451904-41.08-0.02
1.7500e+0920111981-29.65-0.02
1.8000e+0920902060-30.46-0.02
1.8500e+0921572138-18.55-0.01
1.9000e+0922472218-28.91-0.01
1.9500e+0923172298-18.58-0.01
2.0000e+0923932379-13.55-0.01
2.1000e+0925662544-22.50-0.01
2.2000e+0927422710-31.85-0.01
2.3000e+0929162879-36.71-0.02
2.4000e+0931213051-70.16-0.03
2.5000e+0932963225-71.29-0.03
2.6000e+0934853401-84.16-0.04
2.7000e+0936483579-68.86-0.03
2.8000e+0938173760-57.44-0.02
2.9000e+0940033942-60.97-0.02
3.0000e+0941854126-58.51-0.02
3.1000e+0943564313-43.11-0.02
3.2000e+0945594501-57.82-0.02
3.3000e+0947594691-67.69-0.03
3.4000e+0949284883-44.77-0.02
3.5000e+0951295077-52.10-0.02
3.6000e+0953165272-43.71-0.02
3.7000e+0955015469-31.66-0.01
3.8000e+0957085668-39.98-0.01
3.9000e+0959075868-38.70-0.01
4.0000e+0961386070-67.86-0.02
4.1000e+0963656274-91.49-0.03
4.2000e+0965856478-106.62-0.04
4.3000e+0967976685-112.28-0.04
4.4000e+0970126892-119.50-0.04
4.5000e+0972277102-125.31-0.04
4.6000e+0974237312-110.73-0.04
4.7000e+0976377524-112.78-0.04
4.8000e+0978627737-124.50-0.04
4.9000e+0980657952-112.91-0.04
5.0000e+0982998168-131.02-0.04
5.2000e+0987228604-118.45-0.04
5.4000e+0991579044-112.96-0.03
5.6000e+0996389489-148.71-0.04
5.8000e+09100659939-125.83-0.04
6.0000e+091051510394-121.46-0.04
6.2000e+091098110852-128.73-0.04
6.4000e+091143211315-116.76-0.03
6.6000e+091186611782-83.65-0.02
6.8000e+091233312253-79.52-0.02
7.0000e+091284112729-112.46-0.03
7.2000e+091329413207-86.58-0.02
7.4000e+091374513690-54.95-0.01
7.6000e+091420214176-25.67-0.01
7.8000e+091469314666-26.81-0.01
8.0000e+091516215160-2.46-0.00
8.2000e+09156451565611.310.00
8.4000e+0916152161564.420.00
8.6000e+0916656166603.820.00
8.8000e+0917164171662.440.00
9.0000e+09176571767619.210.00
9.2000e+0918183181896.070.00
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