Gap size : 172 (r=86)

Generated by program gapCounts : Mon Jun 27 12:55:47 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+04000.000.00
1.2000e+04000.000.00
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+040-0-0.00-0.00
1.6500e+040-0-0.00-0.00
1.7000e+040-0-0.00-0.00
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+06000.000.00
3.2000e+06000.000.00
3.3000e+06000.000.00
3.4000e+06000.000.00
3.5000e+06000.000.00
3.6000e+06000.000.00
3.7000e+06000.000.00
3.8000e+06000.000.00
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+06000.010.00
5.0000e+06000.010.00
5.2000e+06000.010.00
5.4000e+06000.010.00
5.6000e+06000.010.00
5.8000e+06000.010.00
6.0000e+06000.010.00
6.2000e+06000.010.00
6.4000e+06000.020.00
6.6000e+06000.020.00
6.8000e+06000.020.00
7.0000e+06000.020.00
7.2000e+06000.020.00
7.4000e+06000.020.00
7.6000e+06000.020.00
7.8000e+06000.020.00
8.0000e+06000.030.00
8.2000e+06000.030.00
8.4000e+06000.030.00
8.6000e+06000.030.00
8.8000e+06000.030.00
9.0000e+06000.030.00
9.2000e+06000.030.00
9.4000e+06000.040.00
9.6000e+06000.040.00
9.8000e+06000.040.00
1.0000e+07000.040.00
1.0500e+07000.040.00
1.1000e+07000.050.00
1.1500e+07000.050.00
1.2000e+07000.060.00
1.2500e+07000.060.00
1.3000e+07000.070.00
1.3500e+07000.080.00
1.4000e+07000.080.00
1.4500e+07000.090.00
1.5000e+07000.090.00
1.5500e+07000.100.00
1.6000e+07000.110.00
1.6500e+07000.110.00
1.7000e+07000.120.00
1.7500e+07000.130.00
1.8000e+07000.130.00
1.8500e+07000.140.00
1.9000e+07000.150.00
1.9500e+07000.160.00
2.0000e+07000.170.00
2.1000e+07000.180.00
2.2000e+07000.200.00
2.3000e+07000.220.00
2.4000e+07000.240.00
2.5000e+07000.260.00
2.6000e+07000.280.00
2.7000e+07000.300.00
2.8000e+07000.320.00
2.9000e+07000.340.00
3.0000e+07000.360.00
3.1000e+07000.390.00
3.2000e+07000.410.00
3.3000e+07000.440.00
3.4000e+07000.460.00
3.5000e+07000.490.00
3.6000e+07010.510.00
3.7000e+07010.540.00
3.8000e+07010.570.00
3.9000e+0711-0.40-0.00
4.0000e+0711-0.37-0.00
4.1000e+0711-0.34-0.00
4.2000e+0711-0.31-0.00
4.3000e+0711-0.28-0.00
4.4000e+0711-0.25-0.00
4.5000e+0711-0.22-0.00
4.6000e+0711-0.19-0.00
4.7000e+0711-0.16-0.00
4.8000e+0711-0.12-0.00
4.9000e+0711-0.09-0.00
5.0000e+0711-0.05-0.00
5.2000e+07110.020.00
5.4000e+07110.090.00
5.6000e+07110.160.00
5.8000e+07110.240.00
6.0000e+07110.320.00
6.2000e+07110.400.00
6.4000e+07110.480.00
6.6000e+07120.560.00
6.8000e+07120.650.00
7.0000e+07120.730.00
7.2000e+07120.820.00
7.4000e+07120.920.00
7.6000e+07121.010.00
7.8000e+07121.100.00
8.0000e+07121.200.00
8.2000e+07121.300.00
8.4000e+07121.400.00
8.6000e+07121.500.00
8.8000e+07131.600.00
9.0000e+07131.700.00
9.2000e+07131.810.00
9.4000e+07131.920.00
9.6000e+07132.030.00
9.8000e+07132.140.00
1.0000e+08132.250.00
1.0500e+08142.540.00
1.1000e+08241.840.00
1.1500e+08242.140.00
1.2000e+08341.460.00
1.2500e+08351.780.00
1.3000e+08352.110.00
1.3500e+08352.450.00
1.4000e+08461.800.00
1.4500e+08462.160.00
1.5000e+08472.520.00
1.5500e+08472.890.00
1.6000e+08473.270.00
1.6500e+08483.660.01
1.7000e+08484.050.01
1.7500e+08484.450.01
1.8000e+08494.860.01
1.8500e+08594.280.01
1.9000e+085104.700.01
1.9500e+085105.130.01
2.0000e+087113.570.00
2.1000e+0810111.460.00
2.2000e+0812120.380.00
2.3000e+0812131.320.00
2.4000e+0813141.290.00
2.5000e+0815150.280.00
2.6000e+0816160.290.00
2.7000e+0816171.330.00
2.8000e+0817181.390.00
2.9000e+0817192.480.00
3.0000e+0819211.580.00
3.1000e+0821220.700.00
3.2000e+082323-0.15-0.00
3.3000e+082724-2.98-0.00
3.4000e+082825-2.80-0.00
3.5000e+083126-4.59-0.00
3.6000e+083128-3.37-0.00
3.7000e+083129-2.12-0.00
3.8000e+083130-0.86-0.00
3.9000e+083331-1.58-0.00
4.0000e+083433-1.28-0.00
4.1000e+083534-0.97-0.00
4.2000e+083735-1.63-0.00
4.3000e+084037-3.28-0.00
4.4000e+084238-3.91-0.00
4.5000e+084439-4.53-0.00
4.6000e+084641-5.13-0.00
4.7000e+084942-6.71-0.01
4.8000e+085244-8.27-0.01
4.9000e+085445-8.82-0.01
5.0000e+085647-9.36-0.01
5.2000e+085750-7.38-0.01
5.4000e+085953-6.34-0.01
5.6000e+086356-7.24-0.01
5.8000e+086659-7.09-0.01
6.0000e+087062-7.87-0.01
6.2000e+087465-8.61-0.01
6.4000e+087769-8.28-0.01
6.6000e+088272-9.91-0.01
6.8000e+088376-7.48-0.01
7.0000e+088579-6.00-0.00
7.2000e+089083-7.47-0.01
7.4000e+089286-5.89-0.00
7.6000e+089790-7.26-0.01
7.8000e+089993-5.59-0.00
8.0000e+0810397-5.87-0.00
8.2000e+08110101-9.10-0.01
8.4000e+08117105-12.28-0.01
8.6000e+08122109-13.43-0.01
8.8000e+08125112-12.52-0.01
9.0000e+08130116-13.58-0.01
9.2000e+08137120-16.59-0.01
9.4000e+08145124-20.56-0.01
9.6000e+08148129-19.48-0.01
9.8000e+08149133-16.37-0.01
1.0000e+09158137-21.22-0.01
1.0500e+09175147-27.66-0.02
1.1000e+09186158-27.86-0.02
1.1500e+09199169-29.82-0.02
1.2000e+09217180-36.56-0.02
1.2500e+09229192-37.08-0.02
1.3000e+09242204-38.38-0.02
1.3500e+09256216-40.47-0.02
1.4000e+09265228-37.36-0.02
1.4500e+09273240-33.04-0.02
1.5000e+09286252-33.54-0.02
1.5500e+09299265-33.84-0.02
1.6000e+09309278-30.96-0.02
1.6500e+09319291-27.89-0.01
1.7000e+09334304-29.65-0.02
1.7500e+09352318-34.23-0.02
1.8000e+09372331-40.64-0.02
1.8500e+09383345-37.89-0.02
1.9000e+09397359-37.97-0.02
1.9500e+09414373-40.88-0.02
2.0000e+09430387-42.64-0.02
2.1000e+09456416-39.69-0.02
2.2000e+09478446-32.14-0.01
2.3000e+09503476-27.01-0.01
2.4000e+09529507-22.31-0.01
2.5000e+09562538-24.06-0.01
2.6000e+09598570-28.27-0.01
2.7000e+09638602-35.97-0.02
2.8000e+09672635-37.16-0.02
2.9000e+09711668-42.86-0.02
3.0000e+09753702-51.08-0.02
3.1000e+09783736-46.84-0.02
3.2000e+09829771-58.13-0.02
3.3000e+09867806-60.98-0.02
3.4000e+09903842-61.38-0.02
3.5000e+09940878-62.37-0.02
3.6000e+09974914-59.93-0.02
3.7000e+091010951-59.08-0.02
3.8000e+091040988-51.82-0.02
3.9000e+0910881026-62.18-0.02
4.0000e+0911211064-57.14-0.02
4.1000e+0911571102-54.73-0.02
4.2000e+0911921141-50.94-0.02
4.3000e+0912341180-53.78-0.02
4.4000e+0912791220-59.26-0.02
4.5000e+0913121260-52.39-0.02
4.6000e+0913501300-50.17-0.02
4.7000e+0913891340-48.60-0.02
4.8000e+0914241381-42.70-0.01
4.9000e+0914651423-42.46-0.01
5.0000e+0915201464-55.90-0.02
5.2000e+0916001548-51.80-0.02
5.4000e+0917001634-66.46-0.02
5.6000e+0917741720-53.89-0.02
5.8000e+0918661808-58.13-0.02
6.0000e+0919561897-59.21-0.02
6.2000e+0920281987-41.17-0.01
6.4000e+0921122078-34.02-0.01
6.6000e+0922322170-61.80-0.02
6.8000e+0923162263-52.52-0.01
7.0000e+0924022358-44.22-0.01
7.2000e+0924882453-34.92-0.01
7.4000e+0925922549-42.63-0.01
7.6000e+0926702647-23.37-0.01
7.8000e+0927822745-37.17-0.01
8.0000e+0928772844-33.04-0.01
8.2000e+0929822944-38.01-0.01
8.4000e+0930913045-46.08-0.01
8.6000e+0931893147-42.28-0.01
8.8000e+0932953249-45.61-0.01
9.0000e+0933973353-44.10-0.01
9.2000e+0935043457-46.76-0.01
9.4000e+0936073562-44.60-0.01
9.6000e+0937343668-65.64-0.02
9.8000e+0938323775-56.88-0.01
1.0000e+1039533883-70.35-0.02
1.0500e+1042124155-57.18-0.01
1.1000e+1044854432-53.40-0.01
1.1500e+1047614713-48.17-0.01
1.2000e+1050614998-62.62-0.01
1.2500e+1053635288-74.92-0.02
1.3000e+1056625582-80.17-0.02
1.3500e+1059945879-114.51-0.02
1.4000e+1062936181-112.05-0.02
1.4500e+1065866486-99.89-0.02
1.5000e+1068986795-103.13-0.02
1.5500e+1072497107-141.88-0.03
1.6000e+1075557423-132.21-0.02
1.6500e+1078957742-153.20-0.03
1.7000e+1082238064-158.95-0.03
1.7500e+1085438389-153.52-0.03
1.8000e+1088398718-120.99-0.02
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