Gap size : 98 (r=49)

Generated by program gapCounts : Mon Jun 27 12:44:51 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+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+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+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+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+05000.010.00
1.1500e+05000.010.00
1.2000e+05000.010.00
1.2500e+05000.010.00
1.3000e+05000.010.00
1.3500e+05000.010.00
1.4000e+05000.010.00
1.4500e+05000.010.00
1.5000e+05000.010.00
1.5500e+05000.010.00
1.6000e+05000.010.00
1.6500e+05000.020.00
1.7000e+05000.020.00
1.7500e+05000.020.00
1.8000e+05000.020.00
1.8500e+05000.020.00
1.9000e+05000.020.00
1.9500e+05000.020.00
2.0000e+05000.020.00
2.1000e+05000.030.00
2.2000e+05000.030.00
2.3000e+05000.030.00
2.4000e+05000.040.00
2.5000e+05000.040.00
2.6000e+05000.040.00
2.7000e+05000.050.00
2.8000e+05000.050.00
2.9000e+05000.060.00
3.0000e+05000.060.00
3.1000e+05000.060.00
3.2000e+05000.070.00
3.3000e+05000.070.00
3.4000e+05000.080.00
3.5000e+05000.080.00
3.6000e+05000.090.00
3.7000e+05000.090.00
3.8000e+05000.100.00
3.9000e+05000.110.00
4.0000e+05000.110.00
4.1000e+05000.120.00
4.2000e+05000.120.00
4.3000e+05000.130.00
4.4000e+05000.140.00
4.5000e+05000.140.00
4.6000e+05000.150.00
4.7000e+05000.160.00
4.8000e+05000.160.00
4.9000e+05000.170.00
5.0000e+05000.180.00
5.2000e+05000.190.00
5.4000e+05000.210.00
5.6000e+05000.220.00
5.8000e+05000.240.00
6.0000e+05000.250.00
6.2000e+0510-0.73-0.01
6.4000e+0510-0.71-0.01
6.6000e+0510-0.69-0.01
6.8000e+0510-0.68-0.01
7.0000e+0510-0.66-0.01
7.2000e+0510-0.64-0.01
7.4000e+0510-0.62-0.01
7.6000e+0510-0.60-0.01
7.8000e+0510-0.58-0.01
8.0000e+0510-0.56-0.01
8.2000e+0510-0.53-0.01
8.4000e+0510-0.51-0.01
8.6000e+0511-0.49-0.01
8.8000e+0511-0.47-0.01
9.0000e+0511-0.44-0.01
9.2000e+0511-0.42-0.01
9.4000e+0511-0.40-0.01
9.6000e+0511-0.37-0.01
9.8000e+0511-0.35-0.00
1.0000e+0611-0.32-0.00
1.0500e+0611-0.26-0.00
1.1000e+0611-0.19-0.00
1.1500e+0621-1.12-0.01
1.2000e+0621-1.05-0.01
1.2500e+0621-0.98-0.01
1.3000e+0621-0.91-0.01
1.3500e+0621-0.83-0.01
1.4000e+0621-0.75-0.01
1.4500e+0621-0.67-0.01
1.5000e+0621-0.58-0.01
1.5500e+0622-0.50-0.01
1.6000e+0622-0.41-0.00
1.6500e+0622-0.32-0.00
1.7000e+0622-0.23-0.00
1.7500e+0622-0.14-0.00
1.8000e+0622-0.05-0.00
1.8500e+06220.050.00
1.9000e+06220.150.00
1.9500e+06220.250.00
2.0000e+06220.350.00
2.1000e+0633-0.45-0.00
2.2000e+0633-0.24-0.00
2.3000e+0633-0.02-0.00
2.4000e+06330.210.00
2.5000e+06330.440.00
2.6000e+06340.680.01
2.7000e+0644-0.08-0.00
2.8000e+06440.160.00
2.9000e+06440.420.00
3.0000e+06450.670.01
3.1000e+06450.940.01
3.2000e+06451.200.01
3.3000e+06451.480.01
3.4000e+06461.750.01
3.5000e+06462.030.02
3.6000e+06462.320.02
3.7000e+06472.610.02
3.8000e+06472.910.02
3.9000e+06473.210.02
4.0000e+06582.510.02
4.1000e+06681.820.01
4.2000e+06682.130.02
4.3000e+06781.450.01
4.4000e+0699-0.23-0.00
4.5000e+06990.090.00
4.6000e+06990.420.00
4.7000e+069100.750.01
4.8000e+069101.090.01
4.9000e+069101.420.01
5.0000e+069111.770.01
5.2000e+0610111.460.01
5.4000e+0611121.170.01
5.6000e+0611131.900.01
5.8000e+0613140.630.00
6.0000e+0613141.380.01
6.2000e+0614151.150.01
6.4000e+061616-0.08-0.00
6.6000e+061817-1.29-0.01
6.8000e+061818-0.49-0.00
7.0000e+0618180.320.00
7.2000e+0618191.140.01
7.4000e+062120-1.02-0.01
7.6000e+062321-2.18-0.01
7.8000e+062322-1.33-0.01
8.0000e+062323-0.46-0.00
8.2000e+0623230.420.00
8.4000e+0624240.300.00
8.6000e+0624251.200.01
8.8000e+0625261.100.01
9.0000e+0627270.020.00
9.2000e+062828-0.06-0.00
9.4000e+062929-0.12-0.00
9.6000e+0629300.820.00
9.8000e+0629311.770.01
1.0000e+0729322.730.01
1.0500e+0729345.170.03
1.1000e+0729377.670.04
1.1500e+0731398.210.04
1.2000e+0734427.800.04
1.2500e+0735449.450.04
1.3000e+07364711.130.05
1.3500e+07385011.870.05
1.4000e+07385314.640.06
1.4500e+07445511.460.05
1.5000e+07485810.320.04
1.5500e+0752619.220.04
1.6000e+0755649.160.04
1.6500e+0758679.140.04
1.7000e+07607010.150.04
1.7500e+0764739.200.04
1.8000e+07667610.290.04
1.8500e+07687911.410.04
1.9000e+0773839.570.04
1.9500e+0779866.760.03
2.0000e+0781897.980.03
2.1000e+0787968.520.03
2.2000e+07981024.190.02
2.3000e+071021096.970.02
2.4000e+071081167.870.03
2.5000e+071201232.880.01
2.6000e+071241306.000.02
2.7000e+071291378.220.03
2.8000e+071361458.550.03
2.9000e+0714115210.970.04
3.0000e+071541595.490.02
3.1000e+0715716710.100.03
3.2000e+0716017514.800.05
3.3000e+0716718315.590.05
3.4000e+0717319017.460.05
3.5000e+0718219816.420.05
3.6000e+0718920617.460.05
3.7000e+0719421520.580.06
3.8000e+0720222320.780.06
3.9000e+0721623115.060.04
4.0000e+0722223917.410.05
4.1000e+0722624821.830.06
4.2000e+0723325623.330.06
4.3000e+0723926525.890.07
4.4000e+0724527428.530.08
4.5000e+0725028232.230.08
4.6000e+0726029131.000.08
4.7000e+0726430035.840.09
4.8000e+0727030938.730.10
4.9000e+0728131836.700.09
5.0000e+0729632730.720.08
5.2000e+0731534529.950.07
5.4000e+0734536318.410.04
5.6000e+0736238220.110.05
5.8000e+0738140120.020.05
6.0000e+0739942021.150.05
6.2000e+0742443915.490.04
6.4000e+0744445915.030.03
6.6000e+0746247916.770.04
6.8000e+0748649912.700.03
7.0000e+075165192.820.01
7.2000e+075385391.120.00
7.4000e+07563560-3.40-0.01
7.6000e+07588580-7.74-0.02
7.8000e+07607601-5.91-0.01
8.0000e+07628622-5.92-0.01
8.2000e+07646643-2.76-0.01
8.4000e+07667665-2.45-0.00
8.6000e+07689686-2.98-0.01
8.8000e+07708708-0.35-0.00
9.0000e+07735729-5.57-0.01
9.2000e+07756751-4.65-0.01
9.4000e+07775773-1.58-0.00
9.6000e+07808796-12.37-0.02
9.8000e+07827818-9.02-0.02
1.0000e+08851840-10.53-0.02
1.0500e+088968971.270.00
1.1000e+089459559.880.02
1.1500e+08100510138.260.01
1.2000e+0810731072-0.61-0.00
1.2500e+0811331132-0.77-0.00
1.3000e+0811931193-0.23-0.00
1.3500e+08124812545.970.01
1.4000e+0813261316-10.17-0.02
1.4500e+0813891378-10.70-0.02
1.5000e+0814451441-3.61-0.01
1.5500e+08150015055.060.01
1.6000e+08156315696.310.01
1.6500e+08163016344.110.01
1.7000e+0817021699-2.55-0.00
1.7500e+08176417651.320.00
1.8000e+0818381832-6.29-0.01
1.8500e+0819091899-10.41-0.01
1.9000e+0819781966-12.03-0.02
1.9500e+0820502034-16.18-0.02
2.0000e+0821262102-23.87-0.03
2.1000e+0822622240-21.87-0.03
2.2000e+0824052380-25.14-0.03
2.3000e+0825362521-14.73-0.02
2.4000e+0827012664-36.71-0.05
2.5000e+0828452809-36.15-0.04
2.6000e+0829902955-35.09-0.04
2.7000e+0831443102-41.59-0.05
2.8000e+0832933251-41.71-0.05
2.9000e+0834563402-54.48-0.06
3.0000e+0835983553-44.94-0.05
3.1000e+0837413706-35.14-0.04
3.2000e+0838883860-28.12-0.03
3.3000e+0840364015-20.90-0.02
3.4000e+0841934171-21.52-0.02
3.5000e+0843584329-29.02-0.03
3.6000e+0845284488-40.42-0.04
3.7000e+0846974647-49.75-0.05
3.8000e+0848554808-47.04-0.05
3.9000e+0850334970-63.30-0.06
4.0000e+0851825132-49.58-0.05
4.1000e+0853485296-51.88-0.05
4.2000e+0855215461-60.23-0.06
4.3000e+0856865626-59.66-0.06
4.4000e+0858515793-58.18-0.06
4.5000e+0860315960-70.80-0.07
4.6000e+0862116128-82.56-0.08
4.7000e+0863526298-54.46-0.05
4.8000e+0865176467-49.52-0.05
4.9000e+0866866638-47.77-0.04
5.0000e+0868626810-52.21-0.05
5.2000e+0872007155-44.73-0.04
5.4000e+0875427504-38.20-0.03
5.6000e+0878727855-16.72-0.01
5.8000e+0882488210-38.40-0.03
6.0000e+0886038567-36.32-0.03
6.2000e+0889528926-25.58-0.02
6.4000e+0893349289-45.24-0.04
6.6000e+0897219654-67.39-0.05
6.8000e+081005610021-35.10-0.03
7.0000e+081042110391-30.43-0.02
7.2000e+081080710763-44.45-0.03
7.4000e+081116911137-32.22-0.02
7.6000e+081154411513-30.79-0.02
7.8000e+081192611892-34.22-0.03
8.0000e+08122561227216.430.01
8.2000e+08126431265512.130.01
8.4000e+08130211304018.820.01
8.6000e+08133821342644.460.03
8.8000e+08137541381561.000.04
9.0000e+08141361420569.410.05
9.2000e+08145371459860.650.04
9.4000e+08149441499247.670.03
9.6000e+08153221538765.450.04
9.8000e+08157701578514.950.01
1.0000e+0916175161849.130.01
1.0500e+091719917189-9.75-0.01
1.1000e+091823018204-25.76-0.02
1.1500e+091926819229-39.32-0.02
1.2000e+092032820262-65.83-0.04
1.2500e+092137821304-73.64-0.04
1.3000e+092236922355-14.08-0.01
1.3500e+09233652341448.530.03
1.4000e+09244322448047.930.03
1.4500e+09255422555411.830.01
1.5000e+0926631266354.000.00
1.5500e+09277092772314.200.01
1.6000e+092884528818-26.78-0.01
1.6500e+092999829920-78.14-0.04
1.7000e+093116631028-138.09-0.07
1.7500e+093229132142-148.80-0.08
1.8000e+093344733263-184.44-0.09
1.8500e+093454734389-158.16-0.08
1.9000e+093571735521-196.14-0.10
1.9500e+093687136658-212.50-0.10
2.0000e+093794637802-144.40-0.07
2.1000e+094029940104-195.29-0.09
2.2000e+094258142426-154.80-0.07
2.3000e+094489944768-130.81-0.06
2.4000e+094724647129-117.15-0.05
2.5000e+094967349507-165.57-0.07
2.6000e+095202051903-116.75-0.05
2.7000e+095442254316-106.34-0.04
2.8000e+095688256744-137.93-0.06
2.9000e+095931159188-123.08-0.05
3.0000e+096175261647-105.30-0.04
3.1000e+096427964120-159.07-0.06
3.2000e+096676066607-152.85-0.06
3.3000e+096929169108-183.06-0.07
3.4000e+097175971622-137.10-0.05
3.5000e+097431174149-162.35-0.06
3.6000e+097688076688-192.15-0.07
3.7000e+097951279239-272.86-0.10
3.8000e+098207081802-267.78-0.10
3.9000e+098456384377-186.22-0.07
4.0000e+098720086963-237.47-0.08
4.1000e+098986689559-306.79-0.11
4.2000e+099250192167-334.45-0.11
4.3000e+099506494784-279.70-0.09
4.4000e+099769697412-283.77-0.09
4.5000e+09100254100050-203.89-0.07
4.6000e+09102867102698-169.27-0.06
4.7000e+09105464105355-109.12-0.04
4.8000e+09108167108021-145.63-0.05
4.9000e+09110787110697-90.01-0.03
5.0000e+09113500113382-118.43-0.04
5.2000e+09118952118777-175.09-0.05
5.4000e+09124271124206-64.93-0.02
5.6000e+09129682129668-14.19-0.00
5.8000e+09135195135161-34.00-0.01
6.0000e+09140578140685106.570.03
6.2000e+09146098146238139.530.04
6.4000e+09151577151819241.940.07
6.6000e+09157241157428186.930.05
6.8000e+09162932163064131.680.04
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