Gap size : 76 (r=38)

Generated by program gapCounts : Mon Jun 27 12:44:21 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+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+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+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+04000.010.00
3.2000e+04000.010.00
3.3000e+04000.010.00
3.4000e+04000.010.00
3.5000e+04000.010.00
3.6000e+04000.010.00
3.7000e+04000.010.00
3.8000e+04000.010.00
3.9000e+04000.010.00
4.0000e+04000.010.00
4.1000e+04000.010.00
4.2000e+04000.010.00
4.3000e+04000.010.00
4.4000e+04000.010.00
4.5000e+04000.010.00
4.6000e+04000.020.00
4.7000e+04000.020.00
4.8000e+04000.020.00
4.9000e+04000.020.00
5.0000e+04000.020.00
5.2000e+04000.020.00
5.4000e+04000.020.00
5.6000e+04000.030.00
5.8000e+04000.030.00
6.0000e+04000.030.00
6.2000e+04000.030.00
6.4000e+04000.030.00
6.6000e+04000.040.00
6.8000e+04000.040.00
7.0000e+04000.040.00
7.2000e+04000.050.00
7.4000e+04000.050.00
7.6000e+04000.050.00
7.8000e+04000.050.00
8.0000e+04000.060.00
8.2000e+04000.060.00
8.4000e+04000.060.00
8.6000e+04000.070.00
8.8000e+04000.070.00
9.0000e+04000.080.00
9.2000e+04000.080.00
9.4000e+04000.080.00
9.6000e+04000.090.00
9.8000e+04000.090.00
1.0000e+05000.090.00
1.0500e+05000.110.00
1.1000e+05000.120.00
1.1500e+05000.130.00
1.2000e+05000.140.00
1.2500e+05000.150.01
1.3000e+05000.160.01
1.3500e+05000.180.01
1.4000e+05000.190.01
1.4500e+05000.210.01
1.5000e+05000.220.01
1.5500e+05000.230.01
1.6000e+05000.250.01
1.6500e+05000.270.01
1.7000e+05000.280.01
1.7500e+05000.300.01
1.8000e+05000.320.01
1.8500e+05000.330.01
1.9000e+05000.350.01
1.9500e+05000.370.01
2.0000e+05000.390.01
2.1000e+05000.430.01
2.2000e+0510-0.54-0.01
2.3000e+0511-0.49-0.01
2.4000e+0511-0.45-0.01
2.5000e+0511-0.41-0.01
2.6000e+0511-0.36-0.01
2.7000e+0511-0.32-0.01
2.8000e+0511-0.27-0.01
2.9000e+0511-0.22-0.01
3.0000e+0511-0.17-0.00
3.1000e+0511-0.12-0.00
3.2000e+0511-0.07-0.00
3.3000e+0511-0.02-0.00
3.4000e+0521-0.96-0.02
3.5000e+0521-0.91-0.02
3.6000e+0521-0.85-0.02
3.7000e+0521-0.79-0.02
3.8000e+0521-0.73-0.02
3.9000e+0521-0.68-0.01
4.0000e+0521-0.61-0.01
4.1000e+0521-0.55-0.01
4.2000e+0522-0.49-0.01
4.3000e+0522-0.43-0.01
4.4000e+0522-0.36-0.01
4.5000e+0522-0.30-0.01
4.6000e+0522-0.23-0.00
4.7000e+0522-0.17-0.00
4.8000e+0522-0.10-0.00
4.9000e+0522-0.03-0.00
5.0000e+05220.040.00
5.2000e+05220.180.00
5.4000e+05220.330.01
5.6000e+05220.480.01
5.8000e+0533-0.37-0.01
6.0000e+0533-0.22-0.00
6.2000e+0533-0.06-0.00
6.4000e+0543-0.90-0.02
6.6000e+0543-0.74-0.01
6.8000e+0543-0.57-0.01
7.0000e+0544-0.40-0.01
7.2000e+0554-1.23-0.02
7.4000e+0554-1.06-0.02
7.6000e+0554-0.88-0.01
7.8000e+0554-0.70-0.01
8.0000e+0554-0.52-0.01
8.2000e+0555-0.34-0.01
8.4000e+0555-0.15-0.00
8.6000e+05550.040.00
8.8000e+0565-0.77-0.01
9.0000e+0565-0.58-0.01
9.2000e+0566-0.38-0.01
9.4000e+0566-0.18-0.00
9.6000e+05660.020.00
9.8000e+05660.220.00
1.0000e+06660.420.01
1.0500e+0677-0.06-0.00
1.1000e+0687-0.52-0.01
1.1500e+0698-0.98-0.01
1.2000e+06109-1.42-0.02
1.2500e+06109-0.86-0.01
1.3000e+061010-0.28-0.00
1.3500e+0610100.310.00
1.4000e+061311-2.09-0.02
1.4500e+061412-2.48-0.03
1.5000e+061412-1.86-0.02
1.5500e+061413-1.23-0.01
1.6000e+061413-0.59-0.01
1.6500e+061514-0.95-0.01
1.7000e+061515-0.29-0.00
1.7500e+0615150.380.00
1.8000e+0616160.050.00
1.8500e+061717-0.27-0.00
1.9000e+061817-0.58-0.01
1.9500e+061918-0.88-0.01
2.0000e+061919-0.18-0.00
2.1000e+0619201.250.01
2.2000e+0619222.720.03
2.3000e+062423-0.79-0.01
2.4000e+062525-0.28-0.00
2.5000e+062926-2.73-0.03
2.6000e+063128-3.16-0.03
2.7000e+063229-2.57-0.02
2.8000e+063531-3.95-0.04
2.9000e+063933-6.31-0.06
3.0000e+064134-6.65-0.06
3.1000e+064336-6.97-0.06
3.2000e+064638-8.26-0.07
3.3000e+064839-8.54-0.07
3.4000e+065041-8.79-0.07
3.5000e+065243-9.02-0.07
3.6000e+065345-8.24-0.07
3.7000e+065347-6.43-0.05
3.8000e+065348-4.61-0.04
3.9000e+065650-5.77-0.04
4.0000e+065652-3.92-0.03
4.1000e+065754-3.04-0.02
4.2000e+065956-3.15-0.02
4.3000e+066058-2.24-0.02
4.4000e+066160-1.32-0.01
4.5000e+066462-2.38-0.02
4.6000e+066964-5.43-0.04
4.7000e+067166-5.46-0.04
4.8000e+067368-5.47-0.04
4.9000e+067470-4.47-0.03
5.0000e+067572-3.46-0.02
5.2000e+068276-6.39-0.04
5.4000e+068680-6.27-0.04
5.6000e+069584-11.09-0.07
5.8000e+069788-8.86-0.06
6.0000e+0610192-8.58-0.05
6.2000e+0610797-10.26-0.06
6.4000e+06113101-11.89-0.07
6.6000e+06121106-15.47-0.09
6.8000e+06126110-16.01-0.10
7.0000e+06127114-12.50-0.07
7.2000e+06133119-13.95-0.08
7.4000e+06138124-14.37-0.08
7.6000e+06142128-13.74-0.08
7.8000e+06146133-13.07-0.07
8.0000e+06148138-10.37-0.06
8.2000e+06153142-10.63-0.06
8.4000e+06158147-10.85-0.06
8.6000e+06161152-9.03-0.05
8.8000e+06166157-9.18-0.05
9.0000e+06171162-9.30-0.05
9.2000e+06174167-7.38-0.04
9.4000e+06180172-8.43-0.04
9.6000e+06185177-8.45-0.04
9.8000e+06191182-9.44-0.05
1.0000e+07194187-7.39-0.04
1.0500e+07204199-4.65-0.02
1.1000e+07219212-6.72-0.03
1.1500e+07230225-4.61-0.02
1.2000e+07239239-0.34-0.00
1.2500e+07254252-1.91-0.01
1.3000e+072642661.680.01
1.3500e+072762793.410.02
1.4000e+072932930.300.00
1.4500e+073013076.320.03
1.5000e+0731132110.480.04
1.5500e+0731933616.770.07
1.6000e+0733235018.190.08
1.6500e+0734536519.730.08
1.7000e+0735937920.400.08
1.7500e+0736739427.180.11
1.8000e+0738440925.070.10
1.8500e+0740142423.080.09
1.9000e+0742143918.190.07
1.9500e+0743145423.410.09
2.0000e+0744447025.730.10
2.1000e+0747650124.680.09
2.2000e+0750153231.010.11
2.3000e+0753756426.710.09
2.4000e+0756659629.770.10
2.5000e+0759862830.160.10
2.6000e+0763866122.880.08
2.7000e+0766969424.920.08
2.8000e+0770172726.250.09
2.9000e+0773876122.890.07
3.0000e+0778179513.810.04
3.1000e+0781282917.000.05
3.2000e+0785386310.460.03
3.3000e+078938985.170.02
3.4000e+079289335.140.02
3.5000e+079679681.360.00
3.6000e+07100310040.810.00
3.7000e+0710471039-7.51-0.02
3.8000e+0710771075-1.61-0.00
3.9000e+0711151112-3.48-0.01
4.0000e+0711521148-4.14-0.01
4.1000e+0711871184-2.59-0.01
4.2000e+0712261221-4.84-0.01
4.3000e+0712691258-10.89-0.03
4.4000e+0713011295-5.74-0.02
4.5000e+0713361333-3.40-0.01
4.6000e+07136413706.120.02
4.7000e+071394140813.830.04
4.8000e+071432144613.710.04
4.9000e+07147914844.780.01
5.0000e+07152015222.010.01
5.2000e+0716051599-6.02-0.01
5.4000e+07167616770.590.00
5.6000e+0717721755-17.17-0.04
5.8000e+0718391834-5.32-0.01
6.0000e+0719191913-5.89-0.01
6.2000e+0719971993-3.90-0.01
6.4000e+072055207418.640.04
6.6000e+072125215529.710.07
6.8000e+072217223619.300.04
7.0000e+072301231817.380.04
7.2000e+072384240116.950.04
7.4000e+072459248424.990.05
7.6000e+072539256728.490.06
7.8000e+072616265135.440.07
8.0000e+072707273628.830.06
8.2000e+072793282127.640.06
8.4000e+072870290635.870.07
8.6000e+072950299241.510.08
8.8000e+073036307841.540.08
9.0000e+073125316438.960.08
9.2000e+073218325132.760.06
9.4000e+073318333819.930.04
9.6000e+073408342517.460.03
9.8000e+073496351317.350.03
1.0000e+083580360221.590.04
1.0500e+083812382411.670.02
1.1000e+084029404818.780.03
1.1500e+08426542748.840.02
1.2000e+08449745024.760.01
1.2500e+0847354731-3.53-0.01
1.3000e+0849694963-6.11-0.01
1.3500e+08519051965.950.01
1.4000e+085416543114.610.02
1.4500e+0856675667-0.21-0.00
1.5000e+085878590426.450.04
1.5500e+086097614446.540.07
1.6000e+086317638467.010.10
1.6500e+086533662692.820.14
1.7000e+086811686957.930.08
1.7500e+087068711345.290.06
1.8000e+087285735973.890.10
1.8500e+087520760685.670.12
1.9000e+0877537854100.610.14
1.9500e+088024810378.680.11
2.0000e+088283835369.840.09
2.1000e+088773885683.360.11
2.2000e+0892629364101.950.13
2.3000e+0897499875126.430.16
2.4000e+081027010391120.630.15
2.5000e+081076310909146.400.18
2.6000e+081128911432142.580.17
2.7000e+081182211957135.050.16
2.8000e+081236912486116.680.14
2.9000e+081288213017135.360.15
3.0000e+081342713552124.980.14
3.1000e+081395914089130.450.14
3.2000e+081449914630130.660.14
3.3000e+081501415173158.540.17
3.4000e+081555615718161.990.17
3.5000e+081607516266190.950.20
3.6000e+081664316816173.340.18
3.7000e+081717717369192.080.20
3.8000e+081774917924175.130.18
3.9000e+081828718481194.400.19
4.0000e+081885619041184.860.18
4.1000e+081943819602164.430.16
4.2000e+081996720166199.070.19
4.3000e+082052420732207.730.20
4.4000e+082106421299235.360.22
4.5000e+082162321869245.910.23
4.6000e+082216622440274.340.26
4.7000e+082273723014276.600.25
4.8000e+082329323589295.670.27
4.9000e+082386824165297.500.27
5.0000e+082439824744346.040.31
5.2000e+082551525906391.170.34
5.4000e+082665327075421.770.36
5.6000e+082785228250397.620.34
5.8000e+082902929430401.470.34
6.0000e+083021730617400.120.33
6.2000e+083145831809351.370.29
6.4000e+083268333007324.030.26
6.6000e+083384334210366.920.29
6.8000e+083503435418383.890.30
7.0000e+083626536631365.770.28
7.2000e+083747637848372.430.28
7.4000e+083866339071407.730.31
7.6000e+083991140298386.540.29
7.8000e+084114841529380.730.28
8.0000e+084243642764328.200.24
8.2000e+084372544004278.820.20
8.4000e+084502445247223.490.16
8.6000e+084630146495194.120.14
8.8000e+084756547747181.610.13
9.0000e+084881049002191.870.13
9.2000e+085013850261122.810.08
9.4000e+085135351523170.350.11
9.6000e+085263052789159.410.11
9.8000e+085389854059160.910.11
1.0000e+095511355332218.780.14
1.0500e+095822558528303.240.19
1.1000e+096150361744241.330.15
1.1500e+096473564979244.100.15
1.2000e+096811868232113.710.07
1.2500e+097152371501-21.61-0.01
1.3000e+097485274787-64.57-0.04
1.3500e+097811078089-20.83-0.01
1.4000e+09813358140671.010.04
1.4500e+09846818473756.380.03
1.5000e+098797288083110.760.06
1.5500e+099131291442129.660.07
1.6000e+099482394814-9.37-0.00
1.6500e+099823098198-31.76-0.02
1.7000e+09101643101595-47.90-0.02
1.7500e+09105177105004-173.19-0.09
1.8000e+09108607108424-182.97-0.09
1.8500e+09112034111855-178.57-0.09
1.9000e+09115599115298-301.32-0.15
1.9500e+09119064118750-313.51-0.15
2.0000e+09122523122214-309.43-0.15
2.1000e+09129469129169-299.51-0.14
2.2000e+09136405136163-241.55-0.11
2.3000e+09143609143194-415.38-0.19
2.4000e+09150758150258-499.65-0.22
2.5000e+09157825157356-468.87-0.20
2.6000e+09164784164486-298.43-0.13
2.7000e+09171911171645-265.62-0.11
2.8000e+09179086178834-251.62-0.10
2.9000e+09186176186051-124.53-0.05
3.0000e+09193510193296-214.36-0.09
3.1000e+09200642200566-76.08-0.03
3.2000e+09207878207861-16.56-0.01
3.3000e+09215400215181-218.65-0.08
3.4000e+09222607222525-82.11-0.03
3.5000e+09230004229891-112.70-0.04
3.6000e+0923723023728049.910.02
3.7000e+0924465324469037.060.01
3.8000e+09251924252121197.140.07
3.9000e+09259446259573126.560.04
4.0000e+09266907267044136.770.05
4.1000e+0927445527453479.250.03
4.2000e+09281901282044142.500.05
4.3000e+09289396289571175.050.06
4.4000e+09296987297116129.440.04
4.5000e+09304330304679349.240.12
4.6000e+09311886312259373.060.12
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