Gap size : 174 (r=87)

Generated by program gapCounts : Mon Jun 27 12:55:50 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+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+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+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+06000.000.00
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+06000.000.00
2.3000e+06000.000.00
2.4000e+06000.000.00
2.5000e+06000.000.00
2.6000e+06000.000.00
2.7000e+06000.000.00
2.8000e+06000.000.00
2.9000e+06000.000.00
3.0000e+06000.000.00
3.1000e+06000.010.00
3.2000e+06000.010.00
3.3000e+06000.010.00
3.4000e+06000.010.00
3.5000e+06000.010.00
3.6000e+06000.010.00
3.7000e+06000.010.00
3.8000e+06000.010.00
3.9000e+06000.010.00
4.0000e+06000.010.00
4.1000e+06000.010.00
4.2000e+06000.010.00
4.3000e+06000.010.00
4.4000e+06000.010.00
4.5000e+06000.010.00
4.6000e+06000.010.00
4.7000e+06000.010.00
4.8000e+06000.010.00
4.9000e+06000.020.00
5.0000e+06000.020.00
5.2000e+06000.020.00
5.4000e+06000.020.00
5.6000e+06000.020.00
5.8000e+06000.020.00
6.0000e+06000.020.00
6.2000e+06000.030.00
6.4000e+06000.030.00
6.6000e+06000.030.00
6.8000e+06000.030.00
7.0000e+06000.030.00
7.2000e+06000.040.00
7.4000e+06000.040.00
7.6000e+06000.040.00
7.8000e+06000.040.00
8.0000e+06000.050.00
8.2000e+06000.050.00
8.4000e+06000.050.00
8.6000e+06000.050.00
8.8000e+06000.060.00
9.0000e+06000.060.00
9.2000e+06000.060.00
9.4000e+06000.060.00
9.6000e+06000.070.00
9.8000e+06000.070.00
1.0000e+07000.070.00
1.0500e+07000.080.00
1.1000e+07000.090.00
1.1500e+07000.100.00
1.2000e+07000.110.00
1.2500e+07000.120.00
1.3000e+07000.130.00
1.3500e+07000.140.00
1.4000e+07000.150.00
1.4500e+07000.160.00
1.5000e+07000.170.00
1.5500e+07000.180.00
1.6000e+07000.190.00
1.6500e+07000.210.00
1.7000e+07000.220.00
1.7500e+07000.230.00
1.8000e+07000.250.00
1.8500e+07000.260.00
1.9000e+07000.270.00
1.9500e+07000.290.00
2.0000e+07000.300.00
2.1000e+07000.330.00
2.2000e+07000.360.00
2.3000e+07000.400.00
2.4000e+07000.430.00
2.5000e+07000.470.00
2.6000e+07010.500.00
2.7000e+07010.540.00
2.8000e+07010.580.00
2.9000e+07010.620.00
3.0000e+07010.660.00
3.1000e+07010.710.00
3.2000e+07010.750.00
3.3000e+07010.800.00
3.4000e+07010.840.00
3.5000e+07010.890.00
3.6000e+07010.940.00
3.7000e+07010.990.00
3.8000e+07011.040.00
3.9000e+07011.090.00
4.0000e+07011.140.00
4.1000e+07011.200.00
4.2000e+07011.250.00
4.3000e+07011.310.00
4.4000e+07011.360.00
4.5000e+07011.420.00
4.6000e+07011.480.00
4.7000e+07021.540.00
4.8000e+07021.600.00
4.9000e+07021.660.00
5.0000e+07021.730.00
5.2000e+07021.850.00
5.4000e+07120.990.00
5.6000e+07121.120.00
5.8000e+07121.260.00
6.0000e+07121.400.00
6.2000e+07131.550.00
6.4000e+07131.700.00
6.6000e+07131.850.00
6.8000e+07132.010.00
7.0000e+07132.170.00
7.2000e+07132.340.00
7.4000e+07142.500.01
7.6000e+07241.670.00
7.8000e+07241.850.00
8.0000e+07341.020.00
8.2000e+07341.200.00
8.4000e+07341.380.00
8.6000e+07351.570.00
8.8000e+07351.760.00
9.0000e+07351.950.00
9.2000e+07352.150.00
9.4000e+07352.340.00
9.6000e+07362.540.00
9.8000e+07362.750.01
1.0000e+08362.950.01
1.0500e+08363.480.01
1.1000e+08374.030.01
1.1500e+08582.590.00
1.2000e+08583.160.01
1.2500e+08791.760.00
1.3000e+08792.370.00
1.3500e+088101.990.00
1.4000e+088112.630.00
1.4500e+088113.290.01
1.5000e+088123.960.01
1.5500e+088134.640.01
1.6000e+088135.340.01
1.6500e+088146.050.01
1.7000e+089155.780.01
1.7500e+0810165.520.01
1.8000e+0810166.270.01
1.8500e+0810177.030.01
1.9000e+0810187.810.01
1.9500e+0811197.600.01
2.0000e+0811198.400.01
2.1000e+0812219.050.01
2.2000e+0814238.740.01
2.3000e+08142410.470.01
2.4000e+0820266.260.01
2.5000e+0822286.080.01
2.6000e+0824305.950.01
2.7000e+0826325.870.01
2.8000e+0828345.820.01
2.9000e+0828367.820.01
3.0000e+0833384.850.01
3.1000e+0837402.930.00
3.2000e+0838424.040.00
3.3000e+0840444.190.00
3.4000e+0844462.380.00
3.5000e+0846492.600.00
3.6000e+085151-0.14-0.00
3.7000e+0853530.150.00
3.8000e+085655-0.52-0.00
3.9000e+0857580.850.00
4.0000e+0857603.240.00
4.1000e+0862630.680.00
4.2000e+0863652.140.00
4.3000e+0866681.630.00
4.4000e+0869701.160.00
4.5000e+0872730.720.00
4.6000e+087675-0.69-0.00
4.7000e+088178-3.07-0.00
4.8000e+088481-3.42-0.00
4.9000e+088583-1.75-0.00
5.0000e+088886-2.04-0.00
5.2000e+089491-2.53-0.00
5.4000e+089897-0.92-0.00
5.6000e+081021030.810.00
5.8000e+081071091.640.00
6.0000e+081121152.580.00
6.2000e+081181212.620.00
6.4000e+081241272.770.00
6.6000e+081331330.010.00
6.8000e+081361393.350.00
7.0000e+081451460.790.00
7.2000e+08157152-4.68-0.00
7.4000e+08166159-7.06-0.01
7.6000e+08174166-8.34-0.01
7.8000e+08179172-6.54-0.00
8.0000e+08189179-9.65-0.01
8.2000e+08196186-9.68-0.01
8.4000e+08198193-4.62-0.00
8.6000e+08201201-0.47-0.00
8.8000e+08213208-5.25-0.00
9.0000e+08221215-5.94-0.00
9.2000e+08226222-3.55-0.00
9.4000e+08236230-6.09-0.00
9.6000e+08241237-3.54-0.00
9.8000e+08248245-2.92-0.00
1.0000e+09255253-2.23-0.00
1.0500e+09277272-4.66-0.00
1.1000e+092922920.350.00
1.1500e+09313313-0.19-0.00
1.2000e+09335334-1.32-0.00
1.2500e+09367355-12.03-0.01
1.3000e+09386377-9.33-0.01
1.3500e+09414399-15.25-0.01
1.4000e+09440421-18.78-0.01
1.4500e+09468444-23.94-0.01
1.5000e+09489467-21.74-0.01
1.5500e+09519491-28.18-0.02
1.6000e+09543515-28.27-0.01
1.6500e+09568539-29.02-0.02
1.7000e+09594564-30.44-0.02
1.7500e+09619588-30.53-0.02
1.8000e+09642614-28.30-0.01
1.8500e+09663639-23.76-0.01
1.9000e+09688665-22.91-0.01
1.9500e+09716691-24.76-0.01
2.0000e+09729718-11.31-0.01
2.1000e+09778771-6.53-0.00
2.2000e+09838826-11.63-0.01
2.3000e+09900882-17.63-0.01
2.4000e+09955939-15.57-0.01
2.5000e+091014998-16.49-0.01
2.6000e+0910681057-11.40-0.00
2.7000e+0911201117-3.34-0.00
2.8000e+09117111786.670.00
2.9000e+09123312406.600.00
3.0000e+091290130212.430.00
3.1000e+091353136613.140.01
3.2000e+091414143116.700.01
3.3000e+091484149612.110.00
3.4000e+09155815624.340.00
3.5000e+091619162910.380.00
3.6000e+09169016977.200.00
3.7000e+09176017665.790.00
3.8000e+0918411835-5.86-0.00
3.9000e+0919121905-6.77-0.00
4.0000e+0919971976-20.96-0.01
4.1000e+0920602048-12.42-0.00
4.2000e+0921482120-28.19-0.01
4.3000e+0922082193-15.26-0.01
4.4000e+0922772266-10.66-0.00
4.5000e+0923532341-12.39-0.00
4.6000e+0924392416-23.46-0.01
4.7000e+0925102491-18.89-0.01
4.8000e+0925932567-25.68-0.01
4.9000e+0926682644-23.85-0.01
5.0000e+0927532722-31.40-0.01
5.2000e+0929102878-31.68-0.01
5.4000e+0930573037-19.61-0.01
5.6000e+0932283199-29.24-0.01
5.8000e+0933953362-32.63-0.01
6.0000e+0935483528-19.85-0.01
6.2000e+0937233696-26.94-0.01
6.4000e+0938693866-2.96-0.00
6.6000e+094027403811.040.00
6.8000e+094196421216.020.00
7.0000e+094376438811.940.00
7.2000e+094549456616.750.00
7.4000e+0947464745-0.59-0.00
7.6000e+0949284927-1.11-0.00
7.8000e+0951225110-11.85-0.00
8.0000e+0952985295-2.85-0.00
8.2000e+0954945482-12.13-0.00
8.4000e+0956965670-25.74-0.01
8.6000e+0958865860-25.69-0.01
8.8000e+0960676052-15.02-0.00
9.0000e+0962736245-27.76-0.01
9.2000e+0964686440-27.94-0.01
9.4000e+0966736636-36.57-0.01
9.6000e+0968576834-22.69-0.01
9.8000e+0970597034-25.31-0.01
1.0000e+1072757235-40.47-0.01
1.0500e+1077697743-26.09-0.01
1.1000e+1082798260-19.00-0.00
1.1500e+1087998785-13.51-0.00
1.2000e+109308931911.100.00
1.2500e+1098739861-12.43-0.00
1.3000e+10103961041013.650.00
1.3500e+101098210966-15.88-0.00
1.4000e+101153411530-4.23-0.00
1.4500e+101210212100-1.61-0.00
1.5000e+1012677126780.800.00
1.5500e+1013255132626.820.00
1.6000e+101386413852-11.71-0.00
1.6500e+101448214449-32.95-0.01
1.7000e+101507615052-24.05-0.00
1.7500e+101573415661-73.16-0.01
1.8000e+101635416276-78.40-0.01
1.8500e+101697016896-73.91-0.01
1.9000e+101760117522-78.81-0.01
1.9500e+101822918154-75.21-0.01
2.0000e+101887218791-81.22-0.01
2.1000e+102017020080-89.51-0.01
2.2000e+102142621391-35.48-0.01
2.3000e+1022717227203.140.00
2.4000e+102407124069-2.33-0.00
2.5000e+102546825435-32.51-0.00
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