Gap size : 164 (r=82)

Generated by program gapCounts : Mon Jun 27 12:46:24 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+020-0-0.00-0.00
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+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+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+06000.010.00
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+06000.010.00
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+06000.020.00
4.4000e+06000.020.00
4.5000e+06000.020.00
4.6000e+06000.020.00
4.7000e+06000.020.00
4.8000e+06000.020.00
4.9000e+06000.020.00
5.0000e+06000.020.00
5.2000e+06000.020.00
5.4000e+06000.030.00
5.6000e+06000.030.00
5.8000e+06000.030.00
6.0000e+06000.030.00
6.2000e+06000.030.00
6.4000e+06000.040.00
6.6000e+06000.040.00
6.8000e+06000.040.00
7.0000e+06000.040.00
7.2000e+06000.050.00
7.4000e+06000.050.00
7.6000e+06000.050.00
7.8000e+06000.050.00
8.0000e+06000.060.00
8.2000e+06000.060.00
8.4000e+06000.060.00
8.6000e+06000.070.00
8.8000e+06000.070.00
9.0000e+06000.070.00
9.2000e+06000.080.00
9.4000e+06000.080.00
9.6000e+06000.080.00
9.8000e+06000.090.00
1.0000e+07000.090.00
1.0500e+07000.100.00
1.1000e+07000.110.00
1.1500e+07000.120.00
1.2000e+07000.130.00
1.2500e+07000.140.00
1.3000e+07000.150.00
1.3500e+07000.170.00
1.4000e+07000.180.00
1.4500e+07000.190.00
1.5000e+07000.200.00
1.5500e+07000.220.00
1.6000e+07000.230.00
1.6500e+07000.250.00
1.7000e+07000.260.00
1.7500e+07000.280.00
1.8000e+07000.290.00
1.8500e+07000.310.00
1.9000e+07000.320.00
1.9500e+07000.340.00
2.0000e+07000.360.00
2.1000e+0710-0.61-0.00
2.2000e+0710-0.57-0.00
2.3000e+0710-0.54-0.00
2.4000e+0711-0.50-0.00
2.5000e+0711-0.46-0.00
2.6000e+0711-0.42-0.00
2.7000e+0711-0.37-0.00
2.8000e+0711-0.33-0.00
2.9000e+0711-0.29-0.00
3.0000e+0711-0.24-0.00
3.1000e+0711-0.19-0.00
3.2000e+0711-0.14-0.00
3.3000e+0711-0.09-0.00
3.4000e+0711-0.04-0.00
3.5000e+07110.010.00
3.6000e+07110.060.00
3.7000e+07110.120.00
3.8000e+07110.170.00
3.9000e+07110.230.00
4.0000e+07110.290.00
4.1000e+07110.340.00
4.2000e+07110.400.00
4.3000e+07110.460.00
4.4000e+07120.520.00
4.5000e+07120.590.00
4.6000e+07120.650.00
4.7000e+07120.720.00
4.8000e+0722-0.22-0.00
4.9000e+0722-0.15-0.00
5.0000e+0722-0.09-0.00
5.2000e+07220.050.00
5.4000e+07220.190.00
5.6000e+07220.340.00
5.8000e+07220.490.00
6.0000e+07230.640.00
6.2000e+0733-0.21-0.00
6.4000e+0733-0.05-0.00
6.6000e+07330.120.00
6.8000e+07330.280.00
7.0000e+07330.450.00
7.2000e+0744-0.38-0.00
7.4000e+0744-0.20-0.00
7.6000e+0744-0.02-0.00
7.8000e+07440.160.00
8.0000e+07440.340.00
8.2000e+07450.530.00
8.4000e+07450.720.00
8.6000e+07450.910.00
8.8000e+07451.110.00
9.0000e+07451.310.00
9.2000e+07461.510.00
9.4000e+07560.720.00
9.6000e+07560.920.00
9.8000e+07561.130.00
1.0000e+08561.350.00
1.0500e+08670.890.00
1.1000e+0887-0.55-0.00
1.1500e+0898-0.97-0.00
1.2000e+0899-0.38-0.00
1.2500e+08119-1.77-0.00
1.3000e+081110-1.15-0.00
1.3500e+081210-1.51-0.00
1.4000e+081411-2.86-0.00
1.4500e+081512-3.20-0.00
1.5000e+081512-2.52-0.00
1.5500e+081713-3.83-0.01
1.6000e+081714-3.13-0.00
1.6500e+081815-3.41-0.01
1.7000e+081815-2.68-0.00
1.7500e+082016-3.94-0.01
1.8000e+082017-3.18-0.00
1.8500e+082018-2.41-0.00
1.9000e+082118-2.64-0.00
1.9500e+082319-3.85-0.01
2.0000e+082320-3.04-0.00
2.1000e+082522-3.41-0.00
2.2000e+082623-2.73-0.00
2.3000e+082625-1.00-0.00
2.4000e+082827-1.24-0.00
2.5000e+082929-0.43-0.00
2.6000e+0830300.410.00
2.7000e+083332-0.70-0.00
2.8000e+083734-2.78-0.00
2.9000e+083836-1.82-0.00
3.0000e+084038-1.83-0.00
3.1000e+084640-5.80-0.01
3.2000e+084842-5.73-0.01
3.3000e+085144-6.63-0.01
3.4000e+085346-6.50-0.01
3.5000e+085549-6.34-0.01
3.6000e+085551-4.14-0.00
3.7000e+085853-4.91-0.01
3.8000e+086155-5.65-0.01
3.9000e+086458-6.36-0.01
4.0000e+086760-7.04-0.01
4.1000e+087262-9.69-0.01
4.2000e+087365-8.31-0.01
4.3000e+087467-6.91-0.01
4.4000e+087570-5.47-0.01
4.5000e+087672-4.01-0.00
4.6000e+088074-5.52-0.01
4.7000e+088277-5.00-0.00
4.8000e+088880-8.46-0.01
4.9000e+089082-7.89-0.01
5.0000e+089085-5.29-0.00
5.2000e+089790-7.02-0.01
5.4000e+0810195-5.65-0.00
5.6000e+08107101-6.19-0.01
5.8000e+08114106-7.63-0.01
6.0000e+08121112-8.98-0.01
6.2000e+08127118-9.24-0.01
6.4000e+08129124-5.41-0.00
6.6000e+08134130-4.49-0.00
6.8000e+08142136-6.48-0.01
7.0000e+08148142-6.40-0.00
7.2000e+08158148-10.23-0.01
7.4000e+08167154-12.98-0.01
7.6000e+08174160-13.66-0.01
7.8000e+08182167-15.25-0.01
8.0000e+08187173-13.77-0.01
8.2000e+08195180-15.22-0.01
8.4000e+08201186-14.59-0.01
8.6000e+08207193-13.89-0.01
8.8000e+08208200-8.12-0.01
9.0000e+08215207-8.28-0.01
9.2000e+08224214-10.37-0.01
9.4000e+08229221-8.39-0.01
9.6000e+08235228-7.35-0.00
9.8000e+08241235-6.24-0.00
1.0000e+09247242-5.07-0.00
1.0500e+09267260-6.85-0.00
1.1000e+09282279-3.25-0.00
1.1500e+09305298-7.28-0.00
1.2000e+09322317-4.94-0.00
1.2500e+09343337-6.25-0.00
1.3000e+09360357-3.22-0.00
1.3500e+093773770.150.00
1.4000e+093933984.840.00
1.4500e+0940341915.840.01
1.5000e+0942844012.160.01
1.5500e+094574624.770.00
1.6000e+094774846.670.00
1.6500e+095015064.870.00
1.7000e+095205288.340.00
1.7500e+095465515.090.00
1.8000e+095655749.110.00
1.8500e+095885979.390.00
1.9000e+096146216.930.00
1.9500e+096386456.720.00
2.0000e+096616697.760.00
2.1000e+0969271825.570.01
2.2000e+0974976718.330.01
2.3000e+0979781820.990.01
2.4000e+0985787012.540.01
2.5000e+099169225.940.00
2.6000e+099729753.170.00
2.7000e+09102410295.210.00
2.8000e+09108010844.030.00
2.9000e+09113211407.610.00
3.0000e+09118711968.940.00
3.1000e+091240125312.990.01
3.2000e+0913121311-1.26-0.00
3.3000e+091352136917.190.01
3.4000e+091412142816.310.01
3.5000e+09147914889.090.00
3.6000e+09154215496.510.00
3.7000e+0916121610-2.43-0.00
3.8000e+091659167112.240.00
3.9000e+091706173427.520.01
4.0000e+091772179624.400.01
4.1000e+091849186010.860.00
4.2000e+091904192419.890.01
4.3000e+091965198823.480.01
4.4000e+092039205414.630.00
4.5000e+09211821191.310.00
4.6000e+09218521860.530.00
4.7000e+09224822524.280.00
4.8000e+092302232017.540.01
4.9000e+092370238717.310.01
5.0000e+09245224563.570.00
5.2000e+0925972594-3.42-0.00
5.4000e+0927462733-12.51-0.00
5.6000e+0928952875-19.75-0.01
5.8000e+0930483019-29.18-0.01
6.0000e+0931933164-28.85-0.01
6.2000e+0933483311-36.82-0.01
6.4000e+0934953460-35.12-0.01
6.6000e+0936253610-14.79-0.00
6.8000e+0937793762-16.88-0.00
7.0000e+0939423916-26.42-0.01
7.2000e+0940924071-21.44-0.01
7.4000e+0942634227-35.98-0.01
7.6000e+0944054385-20.06-0.01
7.8000e+0945684544-23.72-0.01
8.0000e+0947254705-19.99-0.01
8.2000e+0948934867-25.90-0.01
8.4000e+0950645031-33.46-0.01
8.6000e+0952235195-27.72-0.01
8.8000e+0953915361-29.68-0.01
9.0000e+0955525529-23.37-0.01
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