Gap size : 108 (r=54)

Generated by program gapCounts : Mon Jun 27 12:45:05 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+03000.000.00
4.4000e+03000.000.00
4.5000e+03000.000.00
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+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+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+05000.010.00
1.5000e+05000.010.00
1.5500e+05000.010.00
1.6000e+05000.010.00
1.6500e+05000.010.00
1.7000e+05000.010.00
1.7500e+05000.010.00
1.8000e+05000.010.00
1.8500e+05000.010.00
1.9000e+05000.010.00
1.9500e+05000.010.00
2.0000e+05000.010.00
2.1000e+05000.010.00
2.2000e+05000.010.00
2.3000e+05000.020.00
2.4000e+05000.020.00
2.5000e+05000.020.00
2.6000e+05000.020.00
2.7000e+05000.020.00
2.8000e+05000.030.00
2.9000e+05000.030.00
3.0000e+05000.030.00
3.1000e+05000.030.00
3.2000e+05000.040.00
3.3000e+05000.040.00
3.4000e+05000.040.00
3.5000e+05000.040.00
3.6000e+05000.050.00
3.7000e+05000.050.00
3.8000e+05000.050.00
3.9000e+05000.060.00
4.0000e+05000.060.00
4.1000e+05000.060.00
4.2000e+05000.070.00
4.3000e+05000.070.00
4.4000e+05000.070.00
4.5000e+05000.080.00
4.6000e+05000.080.00
4.7000e+05000.090.00
4.8000e+05000.090.00
4.9000e+05000.090.00
5.0000e+05000.100.00
5.2000e+05000.110.00
5.4000e+05000.120.00
5.6000e+05000.130.00
5.8000e+05000.140.00
6.0000e+05000.150.00
6.2000e+05000.160.00
6.4000e+05000.170.00
6.6000e+05000.180.00
6.8000e+05000.190.00
7.0000e+05000.200.00
7.2000e+05000.210.00
7.4000e+05000.230.00
7.6000e+05000.240.00
7.8000e+05000.250.00
8.0000e+05000.270.00
8.2000e+05000.280.00
8.4000e+05000.290.00
8.6000e+05000.310.00
8.8000e+05000.320.00
9.0000e+05000.340.00
9.2000e+05000.350.01
9.4000e+05000.370.01
9.6000e+05000.380.01
9.8000e+05000.400.01
1.0000e+06000.410.01
1.0500e+06000.460.01
1.1000e+06010.500.01
1.1500e+06010.550.01
1.2000e+06010.590.01
1.2500e+06010.640.01
1.3000e+06010.690.01
1.3500e+06010.740.01
1.4000e+06010.800.01
1.4500e+06010.850.01
1.5000e+06010.910.01
1.5500e+06010.960.01
1.6000e+06011.020.01
1.6500e+06011.080.01
1.7000e+06011.150.01
1.7500e+06011.210.01
1.8000e+06011.270.01
1.8500e+06011.340.01
1.9000e+06011.410.01
1.9500e+06011.480.02
2.0000e+06021.550.02
2.1000e+06021.690.02
2.2000e+06021.840.02
2.3000e+06120.990.01
2.4000e+06220.150.00
2.5000e+06220.320.00
2.6000e+06220.480.00
2.7000e+06230.660.01
2.8000e+06230.830.01
2.9000e+06231.020.01
3.0000e+06231.200.01
3.1000e+06231.390.01
3.2000e+06241.580.01
3.3000e+0644-0.22-0.00
3.4000e+0654-1.02-0.01
3.5000e+0654-0.81-0.01
3.6000e+0664-1.60-0.01
3.7000e+0665-1.39-0.01
3.8000e+0665-1.17-0.01
3.9000e+0665-0.95-0.01
4.0000e+0665-0.73-0.01
4.1000e+0665-0.50-0.00
4.2000e+0666-0.27-0.00
4.3000e+0666-0.04-0.00
4.4000e+06660.200.00
4.5000e+06660.440.00
4.6000e+06670.690.00
4.7000e+06670.940.01
4.8000e+06671.190.01
4.9000e+06671.440.01
5.0000e+06681.700.01
5.2000e+06781.220.01
5.4000e+06791.760.01
5.6000e+06990.300.00
5.8000e+061010-0.14-0.00
6.0000e+061110-0.57-0.00
6.2000e+0611110.010.00
6.4000e+061212-0.40-0.00
6.6000e+0612120.210.00
6.8000e+061413-1.18-0.01
7.0000e+061413-0.56-0.00
7.2000e+061514-0.92-0.01
7.4000e+061515-0.28-0.00
7.6000e+0615150.370.00
7.8000e+0616160.030.00
8.0000e+061717-0.30-0.00
8.2000e+061917-1.62-0.01
8.4000e+061918-0.93-0.01
8.6000e+062019-1.23-0.01
8.8000e+062019-0.52-0.00
9.0000e+0620200.190.00
9.2000e+062121-0.08-0.00
9.4000e+062322-1.35-0.01
9.6000e+062422-1.61-0.01
9.8000e+062523-1.86-0.01
1.0000e+072624-2.10-0.01
1.0500e+072826-2.18-0.01
1.1000e+073028-2.21-0.01
1.1500e+073430-4.19-0.02
1.2000e+073732-5.12-0.02
1.2500e+073934-5.01-0.02
1.3000e+074336-6.86-0.03
1.3500e+074438-5.67-0.03
1.4000e+074841-7.44-0.03
1.4500e+075043-7.17-0.03
1.5000e+075145-5.86-0.03
1.5500e+075147-3.51-0.01
1.6000e+075350-3.13-0.01
1.6500e+075552-2.71-0.01
1.7000e+076155-6.26-0.03
1.7500e+076457-6.77-0.03
1.8000e+076560-5.25-0.02
1.8500e+076662-3.70-0.01
1.9000e+077165-6.12-0.02
1.9500e+077568-7.50-0.03
2.0000e+078270-11.85-0.04
2.1000e+078776-11.47-0.04
2.2000e+079381-11.97-0.04
2.3000e+079787-10.35-0.04
2.4000e+0710492-11.63-0.04
2.5000e+0711098-11.80-0.04
2.6000e+07115104-10.87-0.04
2.7000e+07118110-7.83-0.03
2.8000e+07124116-7.71-0.02
2.9000e+07127123-4.48-0.01
3.0000e+07133129-4.17-0.01
3.1000e+07141135-5.76-0.02
3.2000e+07147142-5.27-0.02
3.3000e+07153148-4.69-0.01
3.4000e+07165155-10.03-0.03
3.5000e+07169162-7.29-0.02
3.6000e+07172169-3.47-0.01
3.7000e+07177175-1.57-0.00
3.8000e+07183182-0.59-0.00
3.9000e+071891890.460.00
4.0000e+07198197-1.42-0.00
4.1000e+072002043.780.01
4.2000e+07214211-2.96-0.01
4.3000e+07222218-3.62-0.01
4.4000e+07229226-3.22-0.01
4.5000e+07239233-5.75-0.02
4.6000e+07245241-4.21-0.01
4.7000e+07253248-4.61-0.01
4.8000e+07263256-6.95-0.02
4.9000e+07271264-7.22-0.02
5.0000e+07276272-4.44-0.01
5.2000e+07305287-17.68-0.04
5.4000e+07328303-24.70-0.06
5.6000e+07338320-18.48-0.04
5.8000e+07352336-16.05-0.04
6.0000e+07366353-13.40-0.03
6.2000e+07381369-11.54-0.03
6.4000e+07400387-13.47-0.03
6.6000e+07421404-17.21-0.04
6.8000e+07438421-16.76-0.04
7.0000e+07461439-22.12-0.05
7.2000e+07478457-21.29-0.05
7.4000e+07491475-16.28-0.03
7.6000e+07509493-16.10-0.03
7.8000e+07524511-12.74-0.03
8.0000e+07547530-17.21-0.04
8.2000e+07563548-14.52-0.03
8.4000e+07580567-12.66-0.03
8.6000e+07597586-10.65-0.02
8.8000e+07609606-3.48-0.01
9.0000e+07625625-0.16-0.00
9.2000e+076376447.320.01
9.4000e+07666664-2.06-0.00
9.6000e+07689684-5.29-0.01
9.8000e+076997044.620.01
1.0000e+0871172412.670.02
1.0500e+0874677428.390.05
1.1000e+0879482631.950.06
1.1500e+0885487824.300.04
1.2000e+0890393128.420.05
1.2500e+0896598520.280.03
1.3000e+081029104010.860.02
1.3500e+0811051095-9.87-0.02
1.4000e+0811651151-13.92-0.02
1.4500e+0812151208-7.32-0.01
1.5000e+0812771265-12.09-0.02
1.5500e+0813471323-24.24-0.04
1.6000e+0814081381-26.80-0.04
1.6500e+0814641440-23.77-0.04
1.7000e+0815141500-14.17-0.02
1.7500e+0815731560-13.02-0.02
1.8000e+0816411621-20.33-0.03
1.8500e+0816951682-13.11-0.02
1.9000e+0817541744-10.37-0.01
1.9500e+0818221806-16.13-0.02
2.0000e+0818901869-21.40-0.03
2.1000e+0820191995-23.50-0.03
2.2000e+0821482124-23.75-0.03
2.3000e+0822842255-29.22-0.04
2.4000e+0824152387-27.97-0.03
2.5000e+0825682521-47.08-0.06
2.6000e+0827062656-49.59-0.06
2.7000e+0828432793-49.56-0.06
2.8000e+0829872932-55.04-0.06
2.9000e+0831293072-57.08-0.07
3.0000e+0832593213-45.71-0.05
3.1000e+0833943356-37.98-0.04
3.2000e+0835033500-2.93-0.00
3.3000e+0836633645-17.60-0.02
3.4000e+0838013792-9.01-0.01
3.5000e+0839493940-9.20-0.01
3.6000e+0840934089-4.20-0.00
3.7000e+0842644239-25.04-0.03
3.8000e+0844104390-19.75-0.02
3.9000e+0845764543-33.35-0.03
4.0000e+0847344696-37.86-0.04
4.1000e+0849044851-53.32-0.05
4.2000e+0850575006-50.75-0.05
4.3000e+0852055163-42.16-0.04
4.4000e+0853705320-49.58-0.05
4.5000e+0855305479-51.02-0.05
4.6000e+0856965638-57.51-0.05
4.7000e+0858495799-50.07-0.05
4.8000e+0860065960-45.70-0.04
4.9000e+0861676123-44.44-0.04
5.0000e+0863406286-54.29-0.05
5.2000e+0866986615-83.40-0.07
5.4000e+0870296947-82.16-0.07
5.6000e+0873897282-106.66-0.09
5.8000e+0877437621-122.03-0.10
6.0000e+0881007963-137.35-0.11
6.2000e+0884388307-130.71-0.11
6.4000e+0888108655-155.20-0.12
6.6000e+0891699005-163.90-0.13
6.8000e+0895179358-158.89-0.12
7.0000e+0898679714-153.24-0.12
7.2000e+081022610072-154.01-0.12
7.4000e+081058610433-153.27-0.12
7.6000e+081093810796-142.08-0.11
7.8000e+081129811161-136.50-0.10
8.0000e+081164911529-119.59-0.09
8.2000e+081205311900-153.39-0.11
8.4000e+081241412272-141.96-0.10
8.6000e+081279012647-143.34-0.10
8.8000e+081317413023-150.59-0.10
9.0000e+081357113402-168.74-0.12
9.2000e+081393813783-154.84-0.11
9.4000e+081429614166-129.92-0.09
9.6000e+081467514551-124.03-0.08
9.8000e+081506114938-123.21-0.08
1.0000e+091545915327-132.49-0.09
1.0500e+091639116306-84.59-0.05
1.1000e+091737517297-77.53-0.05
1.1500e+091833418299-34.78-0.02
1.2000e+091933819311-26.76-0.02
1.2500e+0920330203333.140.00
1.3000e+092138521365-20.44-0.01
1.3500e+0922398224057.150.00
1.4000e+09234382345516.620.01
1.4500e+09244502451362.660.03
1.5000e+09255132557966.010.04
1.5500e+092655126653102.410.06
1.6000e+09276432773692.630.05
1.6500e+09287392882586.430.05
1.7000e+092980529923117.600.06
1.7500e+093087431027152.950.08
1.8000e+093199832138140.290.07
1.8500e+093314433256112.430.06
1.9000e+093427034381111.200.05
1.9500e+09354173551295.450.05
2.0000e+093648436650166.020.08
2.1000e+093875438944189.540.09
2.2000e+094107841261182.670.08
2.3000e+094346943600131.400.06
2.4000e+094576445962197.830.09
2.5000e+094816048344184.110.08
2.6000e+095054850746198.460.08
2.7000e+095292353168245.170.10
2.8000e+095541555609193.550.08
2.9000e+095783258067234.990.10
3.0000e+096033160543211.910.08
3.1000e+096282663036209.750.08
3.2000e+096527065545275.010.11
3.3000e+096779968070271.200.10
3.4000e+097033570611275.870.10
3.5000e+097285873167308.600.11
3.6000e+097545475737282.970.10
3.7000e+097795678322365.610.13
3.8000e+098061380920307.150.11
3.9000e+098318283532350.250.12
4.0000e+098583186158326.580.11
4.1000e+098838588796410.820.14
4.2000e+099105191447395.690.14
4.3000e+099371894110391.900.13
4.4000e+099649096785295.170.10
4.5000e+099915099472322.240.11
4.6000e+09101803102171367.880.12
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