Gap size : 156 (r=78)

Generated by program gapCounts : Mon Jun 27 12:46:12 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+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+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+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+06000.000.00
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+06000.010.00
1.5000e+06000.010.00
1.5500e+06000.010.00
1.6000e+06000.010.00
1.6500e+06000.010.00
1.7000e+06000.010.00
1.7500e+06000.010.00
1.8000e+06000.010.00
1.8500e+06000.010.00
1.9000e+06000.010.00
1.9500e+06000.010.00
2.0000e+06000.010.00
2.1000e+06000.010.00
2.2000e+06000.010.00
2.3000e+06000.020.00
2.4000e+06000.020.00
2.5000e+06000.020.00
2.6000e+06000.020.00
2.7000e+06000.020.00
2.8000e+06000.020.00
2.9000e+06000.030.00
3.0000e+06000.030.00
3.1000e+06000.030.00
3.2000e+06000.030.00
3.3000e+06000.040.00
3.4000e+06000.040.00
3.5000e+06000.040.00
3.6000e+06000.040.00
3.7000e+06000.050.00
3.8000e+06000.050.00
3.9000e+06000.050.00
4.0000e+06000.050.00
4.1000e+06000.060.00
4.2000e+06000.060.00
4.3000e+06000.060.00
4.4000e+06000.070.00
4.5000e+06000.070.00
4.6000e+06000.070.00
4.7000e+06000.080.00
4.8000e+06000.080.00
4.9000e+06000.080.00
5.0000e+06000.090.00
5.2000e+06000.100.00
5.4000e+06000.100.00
5.6000e+06000.110.00
5.8000e+06000.120.00
6.0000e+06000.130.00
6.2000e+06000.140.00
6.4000e+06000.150.00
6.6000e+06000.160.00
6.8000e+06000.170.00
7.0000e+06000.180.00
7.2000e+06000.190.00
7.4000e+06000.200.00
7.6000e+06000.210.00
7.8000e+06000.220.00
8.0000e+06000.230.00
8.2000e+06000.240.00
8.4000e+06000.260.00
8.6000e+06000.270.00
8.8000e+06000.280.00
9.0000e+06000.290.00
9.2000e+06000.310.00
9.4000e+06000.320.00
9.6000e+06000.330.00
9.8000e+06000.350.00
1.0000e+07000.360.00
1.0500e+07000.400.00
1.1000e+07000.440.00
1.1500e+07000.480.00
1.2000e+07010.520.00
1.2500e+07010.560.00
1.3000e+07010.600.00
1.3500e+07010.650.00
1.4000e+07010.690.00
1.4500e+07010.740.00
1.5000e+07010.790.00
1.5500e+07010.840.00
1.6000e+07010.900.00
1.6500e+07010.950.00
1.7000e+07011.000.00
1.7500e+07011.060.00
1.8000e+07110.120.00
1.8500e+07110.180.00
1.9000e+07110.240.00
1.9500e+07110.300.00
2.0000e+07110.360.00
2.1000e+07110.490.00
2.2000e+07120.620.00
2.3000e+07120.760.00
2.4000e+07120.900.00
2.5000e+07121.050.00
2.6000e+07220.200.00
2.7000e+07220.350.00
2.8000e+0733-0.49-0.00
2.9000e+0733-0.32-0.00
3.0000e+0733-0.15-0.00
3.1000e+07330.020.00
3.2000e+07330.190.00
3.3000e+07330.370.00
3.4000e+07340.560.00
3.5000e+07340.750.00
3.6000e+07340.940.00
3.7000e+07341.130.00
3.8000e+07341.330.00
3.9000e+07351.540.00
4.0000e+07351.740.00
4.1000e+07351.950.01
4.2000e+07352.170.01
4.3000e+07451.380.00
4.4000e+07461.600.00
4.5000e+07461.830.00
4.6000e+07462.050.01
4.7000e+07462.280.01
4.8000e+07472.520.01
4.9000e+07472.750.01
5.0000e+07571.990.00
5.2000e+07572.480.01
5.4000e+07780.990.00
5.6000e+07781.500.00
5.8000e+07792.030.00
6.0000e+078101.560.00
6.2000e+0710100.110.00
6.4000e+0710110.670.00
6.6000e+0711110.250.00
6.8000e+0711120.830.00
7.0000e+0712120.420.00
7.2000e+0712131.030.00
7.4000e+0712141.640.00
7.6000e+0714140.270.00
7.8000e+0714150.900.00
8.0000e+071716-1.45-0.00
8.2000e+071716-0.80-0.00
8.4000e+071717-0.13-0.00
8.6000e+071818-0.46-0.00
8.8000e+072018-1.77-0.00
9.0000e+072019-1.08-0.00
9.2000e+072020-0.38-0.00
9.4000e+072120-0.66-0.00
9.6000e+072221-0.94-0.00
9.8000e+072222-0.21-0.00
1.0000e+082323-0.47-0.00
1.0500e+082524-0.59-0.00
1.1000e+0825261.350.00
1.1500e+0828280.340.00
1.2000e+083230-1.62-0.00
1.2500e+083432-1.53-0.00
1.3000e+083535-0.40-0.00
1.3500e+083737-0.21-0.00
1.4000e+0838391.020.00
1.4500e+0841410.290.00
1.5000e+084444-0.39-0.00
1.5500e+084846-2.03-0.00
1.6000e+0848480.370.00
1.6500e+0850510.820.00
1.7000e+0852531.300.00
1.7500e+0854561.820.00
1.8000e+0857581.390.00
1.8500e+0859611.990.00
1.9000e+086464-0.37-0.00
1.9500e+0866660.310.00
2.0000e+0867692.020.00
2.1000e+087575-0.45-0.00
2.2000e+088180-0.77-0.00
2.3000e+0883863.030.00
2.4000e+0887924.970.01
2.5000e+0894984.040.00
2.6000e+08981046.240.01
2.7000e+081071113.550.00
2.8000e+081141172.990.00
2.9000e+081191244.540.01
3.0000e+081261304.200.00
3.1000e+081361370.970.00
3.2000e+08147144-3.14-0.00
3.3000e+08156151-5.15-0.01
3.4000e+08161158-3.06-0.00
3.5000e+08170165-4.86-0.01
3.6000e+08177172-4.57-0.00
3.7000e+08184180-4.17-0.00
3.8000e+08193187-5.68-0.01
3.9000e+08198195-3.09-0.00
4.0000e+08205203-2.41-0.00
4.1000e+08212210-1.64-0.00
4.2000e+08222218-3.78-0.00
4.3000e+08227226-0.83-0.00
4.4000e+08235234-0.79-0.00
4.5000e+08246242-3.67-0.00
4.6000e+08257251-6.46-0.01
4.7000e+08267259-8.17-0.01
4.8000e+08277267-9.79-0.01
4.9000e+08284276-8.34-0.01
5.0000e+08290284-5.80-0.01
5.2000e+08306302-4.49-0.00
5.4000e+08323319-3.88-0.00
5.6000e+08339337-1.97-0.00
5.8000e+08356355-0.76-0.00
6.0000e+08375374-1.27-0.00
6.2000e+083883924.500.00
6.4000e+0840141210.540.01
6.6000e+084284312.850.00
6.8000e+084454505.410.00
7.0000e+08473470-2.77-0.00
7.2000e+08492490-1.69-0.00
7.4000e+08513511-2.38-0.00
7.6000e+08542531-10.82-0.01
7.8000e+08565552-13.03-0.01
8.0000e+08590573-17.00-0.01
8.2000e+08613594-18.75-0.01
8.4000e+08630616-14.28-0.01
8.6000e+08648637-10.58-0.01
8.8000e+08677659-17.67-0.01
9.0000e+08693681-11.55-0.01
9.2000e+08719704-15.21-0.01
9.4000e+08742726-15.67-0.01
9.6000e+08763749-13.93-0.01
9.8000e+08776772-3.99-0.00
1.0000e+09798795-2.86-0.00
1.0500e+09854854-0.17-0.00
1.1000e+09916914-2.32-0.00
1.1500e+099719753.670.00
1.2000e+091017103719.750.01
1.2500e+091072110027.890.02
1.3000e+091141116423.070.01
1.3500e+091190122939.240.02
1.4000e+091278129517.390.01
1.4500e+09135413628.480.00
1.5000e+09142714313.500.00
1.5500e+091489149910.420.01
1.6000e+091556156913.220.01
1.6500e+09163116408.880.00
1.7000e+091699171112.380.01
1.7500e+091769178414.700.01
1.8000e+091838185718.820.01
1.8500e+091913193117.730.01
1.9000e+091990200515.410.01
1.9500e+092052208128.840.01
2.0000e+09215221575.010.00
2.1000e+0923122312-0.47-0.00
2.2000e+0924702469-1.15-0.00
2.3000e+092615262913.870.01
2.4000e+092778279213.500.01
2.5000e+092946295710.670.00
2.6000e+09312131243.290.00
2.7000e+09328632948.300.00
2.8000e+09346534671.620.00
2.9000e+0936523641-10.81-0.00
3.0000e+0938333818-15.05-0.01
3.1000e+0940243997-27.16-0.01
3.2000e+0942054178-27.19-0.01
3.3000e+0943964361-35.18-0.01
3.4000e+0945884546-42.19-0.02
3.5000e+0947774733-44.27-0.02
3.6000e+0949774922-55.45-0.02
3.7000e+0951555112-42.78-0.02
3.8000e+0953615305-56.29-0.02
3.9000e+0955455499-46.03-0.02
4.0000e+0957405695-45.03-0.02
4.1000e+0959595893-66.32-0.02
4.2000e+0961526092-59.94-0.02
4.3000e+0963526293-58.91-0.02
4.4000e+0965606496-64.27-0.02
4.5000e+0967596700-59.04-0.02
4.6000e+0969836906-77.26-0.03
4.7000e+0972087113-94.95-0.03
4.8000e+0974197322-97.14-0.03
4.9000e+0976207532-87.85-0.03
5.0000e+0978457744-101.10-0.03
5.2000e+0982678172-95.33-0.03
5.4000e+0987028605-97.00-0.03
5.6000e+0991239044-79.29-0.02
5.8000e+0995809488-92.33-0.03
6.0000e+09100399937-102.28-0.03
6.2000e+091049210391-101.28-0.03
6.4000e+091094610850-96.44-0.03
6.6000e+091140611313-92.90-0.03
6.8000e+091188211781-100.76-0.03
7.0000e+091232812254-74.13-0.02
7.2000e+091279612731-65.12-0.02
7.4000e+091329413212-81.83-0.02
7.6000e+091377913698-81.34-0.02
7.8000e+091425614187-68.75-0.02
8.0000e+091477514681-94.15-0.02
8.2000e+091523915178-60.61-0.02
8.4000e+091580415680-124.21-0.03
8.6000e+091630716185-122.02-0.03
8.8000e+091680916694-115.12-0.03
9.0000e+091735917206-152.58-0.04
9.2000e+091788817723-165.46-0.04
9.4000e+091842618242-183.82-0.04
9.6000e+091896118765-195.73-0.05
9.8000e+091947519292-183.24-0.04
1.0000e+101997219822-150.41-0.03
1.0500e+102132321160-162.58-0.04
1.1000e+102274422519-225.02-0.05
1.1500e+102411923897-222.45-0.05
1.2000e+102551125292-218.57-0.05
1.2500e+102696026706-253.98-0.05
1.3000e+102843628137-299.29-0.06
1.3500e+102987329584-289.03-0.06
1.4000e+103133731047-289.71-0.06
1.4500e+103280032526-273.80-0.05
1.5000e+103432534020-304.75-0.06
1.5500e+103586735529-337.97-0.06
1.6000e+103737637052-323.87-0.06
1.6500e+103894738589-357.81-0.07
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