Gap size : 168 (r=84)

Generated by program gapCounts : Mon Jun 27 12:46:29 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+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+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+04000.000.00
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+040-0-0.00-0.00
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+06000.000.00
2.0000e+06000.000.00
2.1000e+06000.000.00
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+06000.010.00
3.2000e+06000.010.00
3.3000e+06000.010.00
3.4000e+06000.010.00
3.5000e+06000.020.00
3.6000e+06000.020.00
3.7000e+06000.020.00
3.8000e+06000.020.00
3.9000e+06000.020.00
4.0000e+06000.020.00
4.1000e+06000.020.00
4.2000e+06000.020.00
4.3000e+06000.020.00
4.4000e+06000.030.00
4.5000e+06000.030.00
4.6000e+06000.030.00
4.7000e+06000.030.00
4.8000e+06000.030.00
4.9000e+06000.030.00
5.0000e+06000.030.00
5.2000e+06000.040.00
5.4000e+06000.040.00
5.6000e+06000.040.00
5.8000e+06000.050.00
6.0000e+06000.050.00
6.2000e+06000.050.00
6.4000e+06000.060.00
6.6000e+06000.060.00
6.8000e+06000.070.00
7.0000e+06000.070.00
7.2000e+06000.080.00
7.4000e+06000.080.00
7.6000e+06000.080.00
7.8000e+06000.090.00
8.0000e+06000.090.00
8.2000e+06000.100.00
8.4000e+06000.100.00
8.6000e+06000.110.00
8.8000e+06000.120.00
9.0000e+06000.120.00
9.2000e+06000.130.00
9.4000e+06000.130.00
9.6000e+06000.140.00
9.8000e+06000.140.00
1.0000e+07000.150.00
1.0500e+07000.170.00
1.1000e+07000.180.00
1.1500e+07000.200.00
1.2000e+07000.220.00
1.2500e+07000.240.00
1.3000e+07000.260.00
1.3500e+07000.280.00
1.4000e+07000.300.00
1.4500e+07000.320.00
1.5000e+07000.340.00
1.5500e+07000.360.00
1.6000e+07000.390.00
1.6500e+07000.410.00
1.7000e+07000.440.00
1.7500e+07000.460.00
1.8000e+07000.490.00
1.8500e+07010.510.00
1.9000e+07010.540.00
1.9500e+07010.570.00
2.0000e+07010.600.00
2.1000e+07010.660.00
2.2000e+07010.720.00
2.3000e+07010.780.00
2.4000e+07010.850.00
2.5000e+07010.920.00
2.6000e+07010.990.00
2.7000e+07011.060.00
2.8000e+07011.130.00
2.9000e+07011.210.00
3.0000e+07011.290.00
3.1000e+07011.370.00
3.2000e+07011.460.00
3.3000e+07021.540.00
3.4000e+07021.630.00
3.5000e+07021.720.01
3.6000e+07021.810.01
3.7000e+07021.900.01
3.8000e+07121.000.00
3.9000e+07121.100.00
4.0000e+07121.200.00
4.1000e+07121.300.00
4.2000e+07121.400.00
4.3000e+07230.500.00
4.4000e+07230.610.00
4.5000e+07230.720.00
4.6000e+07230.830.00
4.7000e+07230.940.00
4.8000e+07231.060.00
4.9000e+07231.170.00
5.0000e+07231.290.00
5.2000e+07241.530.00
5.4000e+07241.770.00
5.6000e+07242.030.00
5.8000e+07341.290.00
6.0000e+07351.550.00
6.2000e+0755-0.18-0.00
6.4000e+07550.100.00
6.6000e+07550.390.00
6.8000e+07560.680.00
7.0000e+07560.970.00
7.2000e+07561.270.00
7.4000e+07571.580.00
7.6000e+07571.890.00
7.8000e+07572.210.00
8.0000e+07681.540.00
8.2000e+07780.870.00
8.4000e+07781.200.00
8.6000e+07791.540.00
8.8000e+07791.890.00
9.0000e+07792.240.00
9.2000e+077102.600.00
9.4000e+077102.960.01
9.6000e+077103.320.01
9.8000e+077113.700.01
1.0000e+088113.070.01
1.0500e+0810122.030.00
1.1000e+0811132.030.00
1.1500e+0811143.050.01
1.2000e+0814151.090.00
1.2500e+0814162.170.00
1.3000e+0814173.280.01
1.3500e+0814184.410.01
1.4000e+0814205.560.01
1.4500e+0814216.740.01
1.5000e+0814227.950.01
1.5500e+0817236.180.01
1.6000e+0819245.440.01
1.6500e+0822263.720.01
1.7000e+0823274.020.01
1.7500e+0824284.340.01
1.8000e+0825304.690.01
1.8500e+0829312.060.00
1.9000e+083332-0.54-0.00
1.9500e+083634-2.13-0.00
2.0000e+083735-1.70-0.00
2.1000e+083938-0.76-0.00
2.2000e+0840411.250.00
2.3000e+084544-0.66-0.00
2.4000e+085048-2.49-0.00
2.5000e+085651-5.24-0.01
2.6000e+086254-7.93-0.01
2.7000e+086757-9.54-0.01
2.8000e+087061-9.08-0.01
2.9000e+087264-7.55-0.01
3.0000e+087568-6.95-0.01
3.1000e+087972-7.29-0.01
3.2000e+088875-12.57-0.01
3.3000e+089279-12.78-0.01
3.4000e+089683-12.92-0.01
3.5000e+0810287-15.01-0.02
3.6000e+0810391-12.04-0.01
3.7000e+0810895-13.01-0.01
3.8000e+0811199-11.92-0.01
3.9000e+08116103-12.77-0.01
4.0000e+08121107-13.57-0.01
4.1000e+08125112-13.31-0.01
4.2000e+08128116-12.00-0.01
4.3000e+08131120-10.63-0.01
4.4000e+08131125-6.22-0.01
4.5000e+08134129-4.75-0.00
4.6000e+08136134-2.22-0.00
4.7000e+08141138-2.65-0.00
4.8000e+08145143-2.03-0.00
4.9000e+08155148-7.36-0.01
5.0000e+08163152-10.64-0.01
5.2000e+08172162-10.06-0.01
5.4000e+08182172-10.29-0.01
5.6000e+08189182-7.33-0.01
5.8000e+08196192-4.20-0.00
6.0000e+08208202-5.90-0.00
6.2000e+08213213-0.42-0.00
6.4000e+082232230.220.00
6.6000e+082312343.030.00
6.8000e+082412453.990.00
7.0000e+082552561.120.00
7.2000e+08268267-0.61-0.00
7.4000e+082772791.820.00
7.6000e+082862904.400.00
7.8000e+082993023.130.00
8.0000e+083053148.990.01
8.2000e+083203266.000.00
8.4000e+083323386.150.00
8.6000e+083453505.430.00
8.8000e+083593633.850.00
9.0000e+083703755.400.00
9.2000e+083843884.090.00
9.4000e+08401401-0.10-0.00
9.6000e+08418414-4.17-0.00
9.8000e+08428427-1.11-0.00
1.0000e+09443440-2.92-0.00
1.0500e+09484474-10.43-0.01
1.1000e+09523508-15.21-0.01
1.1500e+09564543-21.27-0.01
1.2000e+09605578-26.64-0.02
1.2500e+09658615-43.35-0.03
1.3000e+09684652-32.40-0.02
1.3500e+09720689-30.81-0.02
1.4000e+09774727-46.61-0.03
1.4500e+09806766-39.81-0.02
1.5000e+09853806-47.42-0.03
1.5500e+09880846-34.45-0.02
1.6000e+09914886-27.93-0.01
1.6500e+09956927-28.85-0.02
1.7000e+091000969-31.24-0.02
1.7500e+0910491011-38.10-0.02
1.8000e+0911001054-46.45-0.02
1.8500e+0911361097-39.29-0.02
1.9000e+0911811140-40.64-0.02
1.9500e+0912171185-32.50-0.02
2.0000e+0912711229-41.88-0.02
2.1000e+0913721320-52.26-0.02
2.2000e+0914681412-55.82-0.03
2.3000e+0915551506-48.63-0.02
2.4000e+0916361602-33.75-0.01
2.5000e+0917541700-54.23-0.02
2.6000e+0918551799-56.11-0.02
2.7000e+0919501900-50.43-0.02
2.8000e+0920612002-59.25-0.02
2.9000e+0921682105-62.61-0.03
3.0000e+0922942210-83.52-0.03
3.1000e+0923952317-78.05-0.03
3.2000e+0925232425-98.20-0.04
3.3000e+0926402534-106.03-0.04
3.4000e+0927612644-116.56-0.04
3.5000e+0928782756-121.81-0.05
3.6000e+0929862869-116.81-0.04
3.7000e+0931102983-126.59-0.05
3.8000e+0932453099-146.18-0.05
3.9000e+0933723215-156.59-0.06
4.0000e+0934853333-151.85-0.05
4.1000e+0936123452-159.99-0.06
4.2000e+0937473572-175.01-0.06
4.3000e+0938783693-184.95-0.06
4.4000e+0939883815-172.81-0.06
4.5000e+0941273938-188.63-0.06
4.6000e+0942464063-183.41-0.06
4.7000e+0943704188-182.18-0.06
4.8000e+0944974314-182.94-0.06
4.9000e+0946064441-164.72-0.05
5.0000e+0947574569-187.53-0.06
5.2000e+0950244829-195.30-0.06
5.4000e+0952905092-198.36-0.06
5.6000e+0955745358-215.82-0.06
5.8000e+0958635628-234.77-0.07
6.0000e+0961395902-237.31-0.07
6.2000e+0964106178-231.52-0.07
6.4000e+0966966459-237.48-0.07
6.6000e+0969716742-229.29-0.06
6.8000e+0972357028-206.99-0.06
7.0000e+0975057317-187.68-0.05
7.2000e+0977987610-188.41-0.05
7.4000e+0980987905-193.25-0.05
7.6000e+0983828203-179.25-0.05
7.8000e+0986808504-176.48-0.05
8.0000e+0989968807-188.99-0.05
8.2000e+0993309113-216.83-0.05
8.4000e+0996339422-211.06-0.05
8.6000e+0999599733-225.72-0.06
8.8000e+091027210047-224.85-0.05
9.0000e+091057210363-208.51-0.05
9.2000e+091089110682-208.74-0.05
9.4000e+091121911003-215.57-0.05
9.6000e+091153211327-205.05-0.05
9.8000e+091185311653-200.22-0.05
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