Gap size : 140 (r=70)

Generated by program gapCounts : Mon Jun 27 12:45:50 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+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+04000.000.00
1.2500e+04000.000.00
1.3000e+04000.000.00
1.3500e+04000.000.00
1.4000e+04000.000.00
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+05000.010.00
8.4000e+05000.010.00
8.6000e+05000.010.00
8.8000e+05000.010.00
9.0000e+05000.010.00
9.2000e+05000.010.00
9.4000e+05000.010.00
9.6000e+05000.010.00
9.8000e+05000.010.00
1.0000e+06000.010.00
1.0500e+06000.010.00
1.1000e+06000.010.00
1.1500e+06000.010.00
1.2000e+06000.010.00
1.2500e+06000.010.00
1.3000e+06000.020.00
1.3500e+06000.020.00
1.4000e+06000.020.00
1.4500e+06000.020.00
1.5000e+06000.020.00
1.5500e+06000.020.00
1.6000e+06000.030.00
1.6500e+06000.030.00
1.7000e+06000.030.00
1.7500e+06000.030.00
1.8000e+06000.030.00
1.8500e+06000.030.00
1.9000e+06000.040.00
1.9500e+06000.040.00
2.0000e+06000.040.00
2.1000e+06000.050.00
2.2000e+06000.050.00
2.3000e+06000.060.00
2.4000e+06000.060.00
2.5000e+06000.070.00
2.6000e+06000.070.00
2.7000e+06000.080.00
2.8000e+06000.080.00
2.9000e+06000.090.00
3.0000e+06000.100.00
3.1000e+06000.100.00
3.2000e+06000.110.00
3.3000e+06000.120.00
3.4000e+06000.130.00
3.5000e+06000.130.00
3.6000e+06000.140.00
3.7000e+06000.150.00
3.8000e+06000.160.00
3.9000e+06000.170.00
4.0000e+06000.180.00
4.1000e+06000.180.00
4.2000e+06000.190.00
4.3000e+06000.200.00
4.4000e+06000.210.00
4.5000e+06000.220.00
4.6000e+06000.230.00
4.7000e+06000.240.00
4.8000e+06000.250.00
4.9000e+06000.260.00
5.0000e+06000.270.00
5.2000e+06000.300.00
5.4000e+06000.320.00
5.6000e+06000.340.00
5.8000e+06000.370.00
6.0000e+06000.390.00
6.2000e+06000.420.00
6.4000e+06000.440.00
6.6000e+06000.470.00
6.8000e+06010.500.00
7.0000e+06010.530.00
7.2000e+06010.560.00
7.4000e+06010.590.00
7.6000e+06010.620.00
7.8000e+0611-0.35-0.00
8.0000e+0611-0.32-0.00
8.2000e+0611-0.29-0.00
8.4000e+0611-0.25-0.00
8.6000e+0611-0.22-0.00
8.8000e+0611-0.19-0.00
9.0000e+0621-1.15-0.01
9.2000e+0621-1.12-0.01
9.4000e+0621-1.08-0.01
9.6000e+0621-1.04-0.01
9.8000e+0621-1.01-0.01
1.0000e+0721-0.97-0.00
1.0500e+0731-1.87-0.01
1.1000e+0731-1.77-0.01
1.1500e+0731-1.67-0.01
1.2000e+0731-1.56-0.01
1.2500e+0732-1.45-0.01
1.3000e+0732-1.33-0.01
1.3500e+0732-1.22-0.01
1.4000e+0732-1.09-0.00
1.4500e+0732-0.97-0.00
1.5000e+0742-1.84-0.01
1.5500e+0742-1.71-0.01
1.6000e+0742-1.58-0.01
1.6500e+0743-1.44-0.01
1.7000e+0763-3.31-0.01
1.7500e+0763-3.16-0.01
1.8000e+0763-3.02-0.01
1.8500e+0763-2.87-0.01
1.9000e+0763-2.72-0.01
1.9500e+0763-2.57-0.01
2.0000e+0764-2.42-0.01
2.1000e+0764-2.10-0.01
2.2000e+0764-1.77-0.01
2.3000e+0765-1.43-0.01
2.4000e+0785-3.08-0.01
2.5000e+0785-2.72-0.01
2.6000e+0786-2.36-0.01
2.7000e+0786-1.98-0.01
2.8000e+0786-1.60-0.01
2.9000e+0787-1.20-0.00
3.0000e+0787-0.80-0.00
3.1000e+0788-0.39-0.00
3.2000e+0798-0.97-0.00
3.3000e+07118-2.54-0.01
3.4000e+07139-4.11-0.01
3.5000e+07149-4.66-0.01
3.6000e+071410-4.21-0.01
3.7000e+071610-5.75-0.02
3.8000e+071611-5.29-0.01
3.9000e+071611-4.81-0.01
4.0000e+071612-4.33-0.01
4.1000e+071712-4.85-0.01
4.2000e+071713-4.35-0.01
4.3000e+071813-4.85-0.01
4.4000e+071814-4.34-0.01
4.5000e+071914-4.82-0.01
4.6000e+071915-4.30-0.01
4.7000e+071915-3.77-0.01
4.8000e+072116-5.24-0.01
4.9000e+072216-5.70-0.01
5.0000e+072217-5.15-0.01
5.2000e+072318-5.03-0.01
5.4000e+072319-3.89-0.01
5.6000e+072420-3.73-0.01
5.8000e+072421-2.54-0.01
6.0000e+072623-3.33-0.01
6.2000e+072624-2.10-0.00
6.4000e+072825-2.84-0.01
6.6000e+073026-3.57-0.01
6.8000e+073128-3.27-0.01
7.0000e+073129-1.95-0.00
7.2000e+073330-2.61-0.01
7.4000e+073432-2.25-0.00
7.6000e+073733-3.87-0.01
7.8000e+073735-2.47-0.01
8.0000e+073936-3.06-0.01
8.2000e+073937-1.62-0.00
8.4000e+074239-3.16-0.01
8.6000e+074440-3.69-0.01
8.8000e+074742-5.20-0.01
9.0000e+074843-4.69-0.01
9.2000e+075145-6.16-0.01
9.4000e+075346-6.62-0.01
9.6000e+075548-7.06-0.01
9.8000e+075650-6.48-0.01
1.0000e+085751-5.89-0.01
1.0500e+085955-3.83-0.01
1.1000e+086559-5.68-0.01
1.1500e+087364-9.43-0.02
1.2000e+087768-9.09-0.02
1.2500e+088372-10.65-0.02
1.3000e+088877-11.13-0.02
1.3500e+089281-10.53-0.02
1.4000e+089486-7.84-0.01
1.4500e+089691-5.07-0.01
1.5000e+0810096-4.21-0.01
1.5500e+08108101-7.28-0.01
1.6000e+08110106-4.28-0.01
1.6500e+08119111-8.20-0.01
1.7000e+08126116-10.05-0.01
1.7500e+08132121-10.82-0.02
1.8000e+08140126-13.53-0.02
1.8500e+08144132-12.17-0.02
1.9000e+08147137-9.74-0.01
1.9500e+08153143-10.24-0.01
2.0000e+08159148-10.68-0.01
2.1000e+08176160-16.37-0.02
2.2000e+08186171-14.81-0.02
2.3000e+08197183-14.01-0.02
2.4000e+08212195-16.98-0.02
2.5000e+08232207-24.73-0.03
2.6000e+08247220-27.26-0.03
2.7000e+08258232-25.57-0.03
2.8000e+08267245-21.68-0.03
2.9000e+08277258-18.59-0.02
3.0000e+08287272-15.31-0.02
3.1000e+08295285-9.83-0.01
3.2000e+08312299-13.16-0.01
3.3000e+08318313-5.31-0.01
3.4000e+08332327-5.28-0.01
3.5000e+08346341-5.08-0.01
3.6000e+08356355-0.71-0.00
3.7000e+08372370-2.17-0.00
3.8000e+08385385-0.46-0.00
3.9000e+083973992.400.00
4.0000e+084074147.430.01
4.1000e+084274302.610.00
4.2000e+084404454.940.00
4.3000e+084604600.420.00
4.4000e+084764760.050.00
4.5000e+084904921.830.00
4.6000e+08508508-0.26-0.00
4.7000e+085235240.800.00
4.8000e+08541540-1.01-0.00
4.9000e+085535563.320.00
5.0000e+085665736.790.01
5.2000e+08609606-2.89-0.00
5.4000e+086386401.930.00
5.6000e+08681674-6.74-0.01
5.8000e+08711709-1.93-0.00
6.0000e+08759744-14.65-0.01
6.2000e+08799780-18.91-0.02
6.4000e+08833816-16.72-0.01
6.6000e+08869853-16.10-0.01
6.8000e+08916890-26.05-0.02
7.0000e+08945927-17.58-0.01
7.2000e+08974965-8.70-0.01
7.4000e+0810191004-15.43-0.01
7.6000e+0810591042-16.76-0.01
7.8000e+0810931081-11.71-0.01
8.0000e+0811401121-19.29-0.01
8.2000e+0811751161-14.50-0.01
8.4000e+0812121201-11.34-0.01
8.6000e+0812431241-1.83-0.00
8.8000e+08128012822.020.00
9.0000e+08131513238.220.01
9.2000e+081354136510.760.01
9.4000e+08139914077.630.01
9.6000e+081433144915.820.01
9.8000e+081473149118.330.01
1.0000e+091516153418.150.01
1.0500e+091628164314.560.01
1.1000e+091721175331.840.02
1.1500e+091827186537.910.02
1.2000e+091938197940.720.02
1.2500e+092043209451.210.03
1.3000e+092143221168.320.04
1.3500e+092246233084.010.05
1.4000e+092368245082.230.05
1.4500e+092482257289.940.05
1.5000e+092631269564.090.03
1.5500e+092764282055.640.03
1.6000e+092882294663.570.03
1.6500e+093005307367.840.04
1.7000e+093140320161.400.03
1.7500e+093266333165.250.03
1.8000e+093407346255.330.03
1.8500e+093545359549.630.02
1.9000e+093688372840.120.02
1.9500e+093817386345.780.02
2.0000e+093970399928.570.01
2.1000e+094223427350.490.02
2.2000e+094517455335.700.02
2.3000e+094817483619.050.01
2.4000e+095086512337.390.02
2.5000e+095378541536.580.02
2.6000e+095687571022.510.01
2.7000e+09599960089.040.00
2.8000e+09630363107.070.00
2.9000e+0966166616-0.49-0.00
3.0000e+09692469240.240.00
3.1000e+0972627236-25.82-0.01
3.2000e+0975727551-20.75-0.01
3.3000e+0978837869-13.63-0.01
3.4000e+0982288190-37.55-0.01
3.5000e+0985778514-62.57-0.02
3.6000e+0989148841-72.77-0.03
3.7000e+0992459171-74.20-0.03
3.8000e+0995899503-85.93-0.03
3.9000e+0999329838-94.02-0.03
4.0000e+091026610175-90.53-0.03
4.1000e+091058310515-67.50-0.02
4.2000e+091091610858-58.00-0.02
4.3000e+091125511203-52.06-0.02
4.4000e+091161011550-59.75-0.02
4.5000e+091197811900-78.09-0.03
4.6000e+091233012252-78.14-0.03
4.7000e+091268512606-78.94-0.03
4.8000e+091302712962-64.53-0.02
4.9000e+091337713321-55.94-0.02
5.0000e+091373613682-54.22-0.02
5.2000e+091444114409-31.51-0.01
5.4000e+091518115145-35.66-0.01
5.6000e+091589815889-8.95-0.00
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