Gap size : 38 (r=19)

Generated by program gapCounts : Mon Jun 27 12:41:14 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+03000.010.00
2.2000e+03000.010.00
2.3000e+03000.010.00
2.4000e+03000.010.00
2.5000e+03000.010.00
2.6000e+03000.010.00
2.7000e+03000.010.00
2.8000e+03000.020.00
2.9000e+03000.020.00
3.0000e+03000.020.00
3.1000e+03000.020.00
3.2000e+03000.030.00
3.3000e+03000.030.00
3.4000e+03000.030.00
3.5000e+03000.030.00
3.6000e+03000.040.01
3.7000e+03000.040.01
3.8000e+03000.040.01
3.9000e+03000.050.01
4.0000e+03000.050.01
4.1000e+03000.050.01
4.2000e+03000.060.01
4.3000e+03000.060.01
4.4000e+03000.070.01
4.5000e+03000.070.01
4.6000e+03000.070.01
4.7000e+03000.080.01
4.8000e+03000.080.01
4.9000e+03000.090.01
5.0000e+03000.090.01
5.2000e+03000.100.01
5.4000e+03000.110.01
5.6000e+03000.120.01
5.8000e+03000.130.01
6.0000e+03000.140.02
6.2000e+03000.150.02
6.4000e+03000.170.02
6.6000e+03000.180.02
6.8000e+03000.190.02
7.0000e+03000.200.02
7.2000e+03000.220.02
7.4000e+03000.230.02
7.6000e+03000.240.03
7.8000e+03000.260.03
8.0000e+03000.270.03
8.2000e+03000.290.03
8.4000e+03000.300.03
8.6000e+03000.320.03
8.8000e+03000.330.03
9.0000e+03000.350.03
9.2000e+03000.370.03
9.4000e+03000.380.04
9.6000e+03000.400.04
9.8000e+03000.420.04
1.0000e+04000.440.04
1.0500e+04000.480.04
1.1000e+04010.530.05
1.1500e+04010.570.05
1.2000e+04010.620.05
1.2500e+04010.680.06
1.3000e+04010.730.06
1.3500e+04010.780.06
1.4000e+04010.840.07
1.4500e+04010.890.07
1.5000e+04010.950.07
1.5500e+04011.010.08
1.6000e+04011.070.08
1.6500e+04011.130.09
1.7000e+04011.190.09
1.7500e+04011.250.09
1.8000e+04011.320.10
1.8500e+04011.380.10
1.9000e+04011.450.10
1.9500e+04021.520.11
2.0000e+04021.590.11
2.1000e+04021.720.12
2.2000e+04021.870.13
2.3000e+04022.010.13
2.4000e+04022.160.14
2.5000e+04022.310.15
2.6000e+04022.470.16
2.7000e+04032.630.16
2.8000e+04032.790.17
2.9000e+04032.950.18
3.0000e+04033.120.19
3.1000e+04132.290.13
3.2000e+04132.460.14
3.3000e+04142.630.15
3.4000e+04142.810.16
3.5000e+04142.990.17
3.6000e+04143.170.18
3.7000e+04143.350.18
3.8000e+04153.530.19
3.9000e+04252.720.15
4.0000e+04351.910.10
4.1000e+04352.100.11
4.2000e+04352.290.12
4.3000e+04352.480.13
4.4000e+04362.680.14
4.5000e+04362.880.15
4.6000e+04462.080.10
4.7000e+04462.280.11
4.8000e+04462.480.12
4.9000e+04472.680.13
5.0000e+04571.890.09
5.2000e+04671.300.06
5.4000e+04681.720.08
5.6000e+04682.150.10
5.8000e+04791.580.07
6.0000e+04891.020.05
6.2000e+04990.460.02
6.4000e+041010-0.09-0.00
6.6000e+0410100.360.02
6.8000e+0410110.820.03
7.0000e+0411110.280.01
7.2000e+0411120.740.03
7.4000e+041312-0.79-0.03
7.6000e+041413-1.31-0.05
7.8000e+041413-0.84-0.03
8.0000e+041614-2.36-0.09
8.2000e+041614-1.87-0.07
8.4000e+041615-1.38-0.05
8.6000e+041715-1.89-0.07
8.8000e+041716-1.40-0.05
9.0000e+041716-0.90-0.03
9.2000e+041817-1.40-0.05
9.4000e+041817-0.89-0.03
9.6000e+041918-1.38-0.05
9.8000e+041918-0.87-0.03
1.0000e+051919-0.36-0.01
1.0500e+052020-0.06-0.00
1.1000e+052221-0.75-0.03
1.1500e+052623-3.42-0.12
1.2000e+052824-4.07-0.14
1.2500e+052825-2.71-0.09
1.3000e+053127-4.33-0.14
1.3500e+053228-3.94-0.13
1.4000e+053229-2.54-0.08
1.4500e+053631-5.13-0.16
1.5000e+053832-5.70-0.18
1.5500e+054134-7.26-0.22
1.6000e+054535-9.81-0.29
1.6500e+054637-9.35-0.28
1.7000e+054838-9.88-0.29
1.7500e+055040-10.40-0.30
1.8000e+055241-10.91-0.31
1.8500e+055243-9.41-0.27
1.9000e+055244-7.90-0.22
1.9500e+055746-11.38-0.31
2.0000e+055747-9.85-0.27
2.1000e+055950-8.77-0.23
2.2000e+056253-8.66-0.23
2.3000e+056356-6.52-0.17
2.4000e+056860-8.35-0.21
2.5000e+057263-9.15-0.23
2.6000e+057566-8.93-0.22
2.7000e+058069-10.68-0.26
2.8000e+058573-12.41-0.29
2.9000e+058776-11.11-0.26
3.0000e+058779-7.79-0.18
3.1000e+059283-9.46-0.21
3.2000e+059486-8.10-0.18
3.3000e+059889-8.72-0.19
3.4000e+0510293-9.32-0.20
3.5000e+0510796-10.91-0.24
3.6000e+05114100-14.47-0.31
3.7000e+05118103-15.02-0.32
3.8000e+05118106-11.55-0.24
3.9000e+05123110-13.07-0.27
4.0000e+05128113-14.57-0.30
4.1000e+05131117-14.06-0.28
4.2000e+05133120-12.53-0.25
4.3000e+05137124-12.98-0.26
4.4000e+05141128-13.43-0.26
4.5000e+05145131-13.86-0.27
4.6000e+05149135-14.27-0.27
4.7000e+05151138-12.68-0.24
4.8000e+05155142-13.07-0.25
4.9000e+05158146-12.44-0.23
5.0000e+05163149-13.81-0.26
5.2000e+05169156-12.51-0.23
5.4000e+05177164-13.16-0.24
5.6000e+05187171-15.77-0.28
5.8000e+05196179-17.34-0.30
6.0000e+05203186-16.87-0.29
6.2000e+05212194-18.36-0.31
6.4000e+05216201-14.82-0.25
6.6000e+05219209-10.24-0.17
6.8000e+05225216-8.63-0.14
7.0000e+05230224-5.99-0.10
7.2000e+05235232-3.31-0.05
7.4000e+05240239-0.60-0.01
7.6000e+052462471.130.02
7.8000e+05257255-2.10-0.03
8.0000e+052602632.690.04
8.2000e+052672713.510.05
8.4000e+052732785.350.08
8.6000e+052772869.220.14
8.8000e+0528429410.120.15
9.0000e+0528930213.030.19
9.2000e+0529731012.970.19
9.4000e+0530631811.940.17
9.6000e+0531332612.930.18
9.8000e+053243349.930.14
1.0000e+0633034211.960.17
1.0500e+0635136211.120.15
1.1000e+0636638216.400.22
1.1500e+0638640316.800.22
1.2000e+0640642317.300.22
1.2500e+0642744416.910.21
1.3000e+064554659.610.12
1.3500e+064774858.400.10
1.4000e+0649550611.290.14
1.4500e+065195278.260.10
1.5000e+065435485.310.06
1.5500e+065655694.440.05
1.6000e+0657859112.650.14
1.6500e+0660161210.930.12
1.7000e+0661363320.270.22
1.7500e+0663665518.690.20
1.8000e+0665467622.170.24
1.8500e+0667769820.710.22
1.9000e+0670271917.310.18
1.9500e+0671374127.970.29
2.0000e+0673376329.690.30
2.1000e+0677980627.290.27
2.2000e+0682685024.100.24
2.3000e+0687789417.100.17
2.4000e+0692093818.290.17
2.5000e+0696698316.650.16
2.6000e+061006102721.180.19
2.7000e+061040107231.870.29
2.8000e+061090111726.710.24
2.9000e+061124116237.700.33
3.0000e+061163120743.820.38
3.1000e+061213125239.080.33
3.2000e+061263129734.470.29
3.3000e+061291134351.970.43
3.4000e+061339138949.600.40
3.5000e+061390143444.340.36
3.6000e+061434148046.190.37
3.7000e+061467152659.150.47
3.8000e+061499157273.210.57
3.9000e+061538161880.370.62
4.0000e+061585166579.620.61
4.1000e+061627171183.970.63
4.2000e+061682175775.400.56
4.3000e+061734180469.930.52
4.4000e+061780185170.530.51
4.5000e+061831189766.220.48
4.6000e+061875194468.990.49
4.7000e+061914199176.840.54
4.8000e+061976203861.770.43
4.9000e+062024208560.770.42
5.0000e+062073213258.840.41
5.2000e+062171222655.180.37
5.4000e+062257232163.800.43
5.6000e+062371241644.670.29
5.8000e+062454251156.780.37
6.0000e+062525260681.120.52
6.2000e+062623270278.690.49
6.4000e+062714279783.470.52
6.6000e+062816289377.450.47
6.8000e+062914299075.630.46
7.0000e+063008308678.000.46
7.2000e+063118318364.550.38
7.4000e+063214327965.280.38
7.6000e+063313337663.180.36
7.8000e+063406347367.240.38
8.0000e+063487357083.460.47
8.2000e+063584366883.830.47
8.4000e+063684376581.360.45
8.6000e+063775386388.030.48
8.8000e+063869396191.830.50
9.0000e+063976405982.780.44
9.2000e+064078415778.850.42
9.4000e+064183425572.060.38
9.6000e+064293435360.390.31
9.8000e+064400445251.840.27
1.0000e+074498455052.410.27
1.0500e+074727479770.320.35
1.1000e+074970504574.920.37
1.1500e+075222529371.150.34
1.2000e+075454554287.980.41
1.2500e+075714579177.380.36
1.3000e+075972604169.320.31
1.3500e+076207629284.770.38
1.4000e+076482654360.710.27
1.4500e+076729679465.110.28
1.5000e+076972704673.960.32
1.5500e+077204729894.220.40
1.6000e+077462755188.900.37
1.6500e+0777037804100.960.41
1.7000e+077975805782.400.33
1.7500e+078224831187.190.35
1.8000e+0784498565116.340.46
1.8500e+078722882097.810.38
1.9000e+078985907589.610.34
1.9500e+0792229330107.710.41
2.0000e+0794849585101.120.38
2.1000e+07100041009792.790.34
2.2000e+07105201061089.540.32
2.3000e+071102211123101.310.36
2.4000e+07115611163877.050.27
2.5000e+071205212154101.690.35
2.6000e+071256412670106.190.36
2.7000e+071304213188145.500.48
2.8000e+071355213706153.590.50
2.9000e+071407514224149.420.48
3.0000e+071463214744111.950.35
3.1000e+071515315264111.150.34
3.2000e+07157001578584.990.26
3.3000e+07162221630684.440.25
3.4000e+07167691682859.480.18
3.5000e+07172981735153.090.16
3.6000e+07177761787498.250.28
3.7000e+07183441839853.920.15
3.8000e+07188551892267.100.19
3.9000e+07193641944782.770.23
4.0000e+07199331997238.900.11
4.1000e+07204382049759.490.16
4.2000e+07209632102460.510.16
4.3000e+07214832155066.950.18
4.4000e+07219882207788.810.24
4.5000e+07225222260482.060.22
4.6000e+07230812313250.700.13
4.7000e+07235692366090.700.23
4.8000e+072407024188118.070.30
4.9000e+072459924717117.790.30
5.0000e+072512425246121.860.31
5.2000e+072616526305139.970.34
5.4000e+072724627365119.330.29
5.6000e+072831528427111.890.27
5.8000e+072932929490160.580.38
6.0000e+073038330553170.350.39
6.2000e+073145131618167.140.38
6.4000e+073251632684167.920.38
6.6000e+073358333751167.630.37
6.8000e+073464234818176.240.39
7.0000e+073568935887197.710.43
7.2000e+073678236956174.000.37
7.4000e+073780838026218.080.46
7.6000e+073885839097238.930.50
7.8000e+073997240169196.500.40
8.0000e+074104841241192.790.39
8.2000e+074211642314197.750.40
8.4000e+074320943387178.370.36
8.6000e+074424044462221.620.44
8.8000e+074531945536217.490.42
9.0000e+074639346612218.940.42
9.2000e+074744947688238.970.46
9.4000e+074847548765289.560.55
9.6000e+074957549842266.680.50
9.8000e+075064550919274.330.51
1.0000e+085175651997241.480.44
1.0500e+085446254695232.970.42
1.1000e+085709057395305.320.54
1.1500e+085977660098322.340.56
1.2000e+086252962804274.850.47
1.2500e+086525565512256.710.43
1.3000e+086792768222294.760.48
1.3500e+087065370934280.890.45
1.4000e+087332473648323.970.51
1.4500e+087607776364286.910.45
1.5000e+087883379082248.610.38
1.5500e+088155181801249.970.38
1.6000e+088421184522310.920.46
1.6500e+088690287244342.380.50
1.7000e+088956189968407.270.59
1.7500e+089229692694397.540.57
1.8000e+089499795420423.120.60
1.8500e+089773598148412.960.58
1.9000e+08100520100877356.990.49
1.9500e+08103214103607393.180.54
2.0000e+08105962106338376.470.51
2.1000e+08111531111804273.210.36
2.2000e+08116936117274337.860.44
2.3000e+08122479122747268.170.34
2.4000e+08127819128224404.860.50
2.5000e+08133423133704280.710.34
2.6000e+08138894139187292.510.35
2.7000e+08144447144672225.080.27
2.8000e+08150053150160107.250.12
2.9000e+08155548155651102.850.12
3.0000e+0816111516114428.760.03
3.1000e+081666371666391.830.00
3.2000e+0817209117213644.960.05
3.3000e+0817755617763579.020.09
3.4000e+08183138183136-2.07-0.00
3.5000e+0818856318863975.570.08
3.6000e+08194277194143-134.13-0.14
3.7000e+08199774199649-125.25-0.13
3.8000e+08205325205156-168.88-0.17
3.9000e+08210821210665-156.08-0.16
4.0000e+08216386216175-210.92-0.21
4.1000e+08221857221687-170.46-0.17
4.2000e+08227238227199-38.76-0.04
4.3000e+08232797232713-83.87-0.08
4.4000e+08238338238228-109.85-0.10
4.5000e+08243887243744-142.75-0.13
4.6000e+08249470249261-208.60-0.19
4.7000e+08255032254780-252.46-0.23
4.8000e+08260490260299-191.36-0.17
4.9000e+08266002265819-183.35-0.17
5.0000e+08271530271340-190.45-0.17
5.2000e+08282519282384-135.16-0.12
5.4000e+08293672293431-240.73-0.21
5.6000e+08304709304482-227.42-0.19
5.8000e+08315868315535-333.42-0.28
6.0000e+08326886326590-295.93-0.24
6.2000e+08338048337648-400.12-0.33
6.4000e+08349167348708-459.16-0.37
6.6000e+08360242359770-472.20-0.37
6.8000e+08371354370834-520.35-0.41
7.0000e+08382490381899-590.77-0.45
7.2000e+08393479392966-512.55-0.39
7.4000e+08404448404035-412.80-0.31
7.6000e+08415647415105-541.63-0.40
7.8000e+08426566426177-389.13-0.29
8.0000e+08437881437250-631.37-0.46
8.2000e+08448958448324-634.45-0.45
8.4000e+08460062459399-663.43-0.47
8.6000e+08471078470475-603.39-0.42
8.8000e+08482082481552-530.39-0.37
9.0000e+08493298492630-668.49-0.46
9.2000e+08504512503708-803.76-0.55
9.4000e+08515580514788-792.23-0.53
9.6000e+08526653525868-784.97-0.52
9.8000e+08537722536949-773.02-0.51
1.0000e+09548746548031-715.42-0.47
1.0500e+09576485575737-747.89-0.48
1.1000e+09604047603447-600.19-0.38
1.1500e+09631879631159-719.86-0.44
1.2000e+09659703658874-829.35-0.50
1.2500e+09687355686590-765.05-0.45
1.3000e+09714927714308-619.34-0.36
1.3500e+09742878742026-851.52-0.49
1.4000e+09770408769746-661.88-0.37
1.4500e+09798396797466-929.66-0.52
1.5000e+09826118825187-931.10-0.51
1.5500e+09853836852908-928.38-0.50
1.6000e+09881633880628-1004.70-0.53
1.6500e+09909522908349-1173.21-0.61
1.7000e+09937547936069-1478.06-0.76
1.7500e+09964920963789-1131.39-0.58
1.8000e+09992583991508-1075.31-0.54
1.8500e+0910201861019226-959.94-0.48
1.9000e+0910479701046944-1026.37-0.50
1.9500e+0910757971074660-1136.69-0.55
2.0000e+0911036761102376-1299.99-0.62
2.1000e+0911591351157804-1330.81-0.62
2.2000e+0912145821213228-1354.34-0.62
2.3000e+0912698441268646-1198.04-0.54
2.4000e+0913254791324059-1420.26-0.63
2.5000e+0913806901379466-1224.30-0.53
2.6000e+0914359391434867-1072.43-0.46
2.7000e+0914911491490261-887.85-0.37
2.8000e+0915466291545649-979.75-0.40
2.9000e+0916024241601031-1393.26-0.56
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