Gap size : 176 (r=88)

Generated by program gapCounts : Mon Jun 27 12:55:53 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+04000.000.00
1.1000e+04000.000.00
1.1500e+04000.000.00
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+040-0-0.00-0.00
1.5500e+040-0-0.00-0.00
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+06000.000.00
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+06000.000.00
4.0000e+06000.000.00
4.1000e+06000.000.00
4.2000e+06000.000.00
4.3000e+06000.000.00
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+06000.010.00
6.6000e+06000.010.00
6.8000e+06000.010.00
7.0000e+06000.010.00
7.2000e+06000.020.00
7.4000e+06000.020.00
7.6000e+06000.020.00
7.8000e+06000.020.00
8.0000e+06000.020.00
8.2000e+06000.020.00
8.4000e+06000.020.00
8.6000e+06000.020.00
8.8000e+06000.020.00
9.0000e+06000.030.00
9.2000e+06000.030.00
9.4000e+06000.030.00
9.6000e+06000.030.00
9.8000e+06000.030.00
1.0000e+07000.030.00
1.0500e+07000.040.00
1.1000e+07000.040.00
1.1500e+07000.040.00
1.2000e+07000.050.00
1.2500e+07000.050.00
1.3000e+07000.050.00
1.3500e+07000.060.00
1.4000e+07000.060.00
1.4500e+07000.070.00
1.5000e+07000.070.00
1.5500e+07000.080.00
1.6000e+07000.080.00
1.6500e+07000.090.00
1.7000e+07000.090.00
1.7500e+07000.100.00
1.8000e+07000.110.00
1.8500e+07000.110.00
1.9000e+07000.120.00
1.9500e+07000.130.00
2.0000e+07000.130.00
2.1000e+07000.150.00
2.2000e+07000.160.00
2.3000e+07000.170.00
2.4000e+07000.190.00
2.5000e+07000.200.00
2.6000e+07000.220.00
2.7000e+07000.240.00
2.8000e+07000.250.00
2.9000e+07000.270.00
3.0000e+07000.290.00
3.1000e+07000.310.00
3.2000e+07000.330.00
3.3000e+07000.350.00
3.4000e+07000.370.00
3.5000e+07000.390.00
3.6000e+07000.410.00
3.7000e+07000.430.00
3.8000e+07000.460.00
3.9000e+0710-0.52-0.00
4.0000e+0711-0.50-0.00
4.1000e+0711-0.47-0.00
4.2000e+0711-0.45-0.00
4.3000e+0711-0.42-0.00
4.4000e+0711-0.40-0.00
4.5000e+0711-0.37-0.00
4.6000e+0711-0.35-0.00
4.7000e+0711-0.32-0.00
4.8000e+0721-1.29-0.00
4.9000e+0721-1.27-0.00
5.0000e+0721-1.24-0.00
5.2000e+0721-1.18-0.00
5.4000e+0721-1.12-0.00
5.6000e+0721-1.06-0.00
5.8000e+0721-1.00-0.00
6.0000e+0731-1.94-0.00
6.2000e+0731-1.87-0.00
6.4000e+0731-1.80-0.00
6.6000e+0731-1.73-0.00
6.8000e+0731-1.66-0.00
7.0000e+0731-1.59-0.00
7.2000e+0731-1.52-0.00
7.4000e+0742-2.44-0.01
7.6000e+0742-2.37-0.00
7.8000e+0742-2.29-0.00
8.0000e+0742-2.21-0.00
8.2000e+0742-2.13-0.00
8.4000e+0742-2.05-0.00
8.6000e+0742-1.97-0.00
8.8000e+0742-1.88-0.00
9.0000e+0742-1.80-0.00
9.2000e+0742-1.71-0.00
9.4000e+0742-1.62-0.00
9.6000e+0742-1.53-0.00
9.8000e+0743-1.44-0.00
1.0000e+0853-2.34-0.00
1.0500e+0853-2.11-0.00
1.1000e+0863-2.86-0.01
1.1500e+0863-2.61-0.00
1.2000e+0864-2.35-0.00
1.2500e+0864-2.08-0.00
1.3000e+0874-2.81-0.00
1.3500e+0874-2.52-0.00
1.4000e+0875-2.24-0.00
1.4500e+0885-2.94-0.00
1.5000e+0885-2.64-0.00
1.5500e+0886-2.33-0.00
1.6000e+0896-3.01-0.00
1.6500e+0896-2.69-0.00
1.7000e+08107-3.36-0.00
1.7500e+08117-4.03-0.01
1.8000e+08117-3.69-0.01
1.8500e+08138-5.34-0.01
1.9000e+08138-4.99-0.01
1.9500e+08148-5.63-0.01
2.0000e+08149-5.27-0.01
2.1000e+08169-6.52-0.01
2.2000e+081710-6.76-0.01
2.3000e+081811-6.97-0.01
2.4000e+082012-8.16-0.01
2.5000e+082213-9.33-0.01
2.6000e+082314-9.48-0.01
2.7000e+082314-8.61-0.01
2.8000e+082315-7.72-0.01
2.9000e+082316-6.81-0.01
3.0000e+082417-6.88-0.01
3.1000e+082518-6.94-0.01
3.2000e+082519-5.98-0.01
3.3000e+082620-6.00-0.01
3.4000e+082721-6.00-0.01
3.5000e+082922-6.98-0.01
3.6000e+083023-6.95-0.01
3.7000e+083224-7.90-0.01
3.8000e+083225-6.84-0.01
3.9000e+083326-6.76-0.01
4.0000e+083427-6.67-0.01
4.1000e+083528-6.56-0.01
4.2000e+083630-6.43-0.01
4.3000e+083731-6.29-0.01
4.4000e+083732-5.13-0.00
4.5000e+083833-4.96-0.00
4.6000e+084234-7.78-0.01
4.7000e+084435-8.58-0.01
4.8000e+084537-8.37-0.01
4.9000e+084538-7.14-0.01
5.0000e+084639-6.90-0.01
5.2000e+084842-6.38-0.01
5.4000e+085144-6.81-0.01
5.6000e+085447-7.19-0.01
5.8000e+085749-7.51-0.01
6.0000e+086052-7.79-0.01
6.2000e+086555-10.01-0.01
6.4000e+086858-10.19-0.01
6.6000e+087061-9.33-0.01
6.8000e+087364-9.41-0.01
7.0000e+087867-11.46-0.01
7.2000e+088470-14.46-0.01
7.4000e+088873-15.41-0.01
7.6000e+088976-13.33-0.01
7.8000e+089279-13.20-0.01
8.0000e+089782-15.03-0.01
8.2000e+089985-13.82-0.01
8.4000e+0810188-12.57-0.01
8.6000e+0810392-11.28-0.01
8.8000e+0810695-10.95-0.01
9.0000e+0811098-11.59-0.01
9.2000e+08112102-10.19-0.01
9.4000e+08114105-8.75-0.01
9.6000e+08121109-12.27-0.01
9.8000e+08123112-10.76-0.01
1.0000e+09128116-12.21-0.01
1.0500e+09137125-12.19-0.01
1.1000e+09145134-10.96-0.01
1.1500e+09156143-12.52-0.01
1.2000e+09166153-12.88-0.01
1.2500e+09175163-12.04-0.01
1.3000e+09183173-10.02-0.01
1.3500e+09195183-11.81-0.01
1.4000e+09201194-7.42-0.00
1.4500e+09211204-6.86-0.00
1.5000e+09219215-4.12-0.00
1.5500e+09229226-3.22-0.00
1.6000e+09240237-3.15-0.00
1.6500e+09253248-4.93-0.00
1.7000e+09266259-6.54-0.00
1.7500e+09272271-1.00-0.00
1.8000e+09291283-8.31-0.00
1.8500e+09299295-4.47-0.00
1.9000e+09312307-5.48-0.00
1.9500e+09323319-4.36-0.00
2.0000e+09332331-1.09-0.00
2.1000e+09357356-1.14-0.00
2.2000e+09394381-12.65-0.01
2.3000e+09421407-13.65-0.01
2.4000e+09454434-20.15-0.01
2.5000e+09478461-17.15-0.01
2.6000e+09510488-21.69-0.01
2.7000e+09551516-34.76-0.01
2.8000e+09578545-33.38-0.01
2.9000e+09606573-32.57-0.01
3.0000e+09632603-29.33-0.01
3.1000e+09659632-26.67-0.01
3.2000e+09683662-20.60-0.01
3.3000e+09712693-19.14-0.01
3.4000e+09740724-16.28-0.01
3.5000e+09770755-15.05-0.01
3.6000e+09804787-17.44-0.01
3.7000e+09839819-20.46-0.01
3.8000e+09873851-22.12-0.01
3.9000e+09900884-16.43-0.01
4.0000e+09928917-11.40-0.00
4.1000e+09952950-2.02-0.00
4.2000e+09999984-15.31-0.01
4.3000e+0910301018-12.27-0.00
4.4000e+0910591052-6.91-0.00
4.5000e+0910991087-12.23-0.00
4.6000e+0911351122-13.24-0.00
4.7000e+0911621157-4.94-0.00
4.8000e+0911961193-3.34-0.00
4.9000e+0912431229-14.44-0.00
5.0000e+0912781265-13.25-0.00
5.2000e+0913531338-15.00-0.00
5.4000e+0914391412-26.62-0.01
5.6000e+0915071488-19.15-0.01
5.8000e+0915801564-15.61-0.00
6.0000e+0916551642-13.04-0.00
6.2000e+09171517215.550.00
6.4000e+09180018000.130.00
6.6000e+091870188110.680.00
6.8000e+091946196216.160.00
7.0000e+092028204516.580.00
7.2000e+092113212814.900.00
7.4000e+092176221236.100.01
7.6000e+092249229748.170.01
7.8000e+092323238360.090.02
8.0000e+092406247063.850.02
8.2000e+092481255776.430.02
8.4000e+092557264688.800.02
8.6000e+092662273572.970.02
8.8000e+092739282585.920.02
9.0000e+092840291675.630.02
9.2000e+092937300770.080.02
9.4000e+093034309965.280.02
9.6000e+093137319255.200.01
9.8000e+093236328649.830.01
1.0000e+103337338043.170.01
1.0500e+103556361963.020.01
1.1000e+103784386278.040.02
1.1500e+104030410979.090.02
1.2000e+104280436080.030.02
1.2500e+104520461594.740.02
1.3000e+104791487382.110.02
1.3500e+105068513567.020.01
1.4000e+105319540081.380.02
1.4500e+1055695669100.090.02
1.5000e+105848594193.050.02
1.5500e+106139621677.200.01
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