Gap size : 36 (r=18)

Generated by program gapCounts : Mon Jun 27 12:41:11 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+03000.010.00
1.6000e+03000.010.00
1.7000e+03000.010.00
1.8000e+03000.010.00
1.9000e+03000.020.00
2.0000e+03000.020.00
2.1000e+03000.030.00
2.2000e+03000.030.01
2.3000e+03000.040.01
2.4000e+03000.040.01
2.5000e+03000.050.01
2.6000e+03000.050.01
2.7000e+03000.060.01
2.8000e+03000.070.01
2.9000e+03000.080.01
3.0000e+03000.080.01
3.1000e+03000.090.01
3.2000e+03000.100.01
3.3000e+03000.110.02
3.4000e+03000.120.02
3.5000e+03000.130.02
3.6000e+03000.140.02
3.7000e+03000.150.02
3.8000e+03000.160.02
3.9000e+03000.170.02
4.0000e+03000.180.02
4.1000e+03000.190.03
4.2000e+03000.210.03
4.3000e+03000.220.03
4.4000e+03000.230.03
4.5000e+03000.240.03
4.6000e+03000.260.03
4.7000e+03000.270.03
4.8000e+03000.280.03
4.9000e+03000.300.04
5.0000e+03000.310.04
5.2000e+03000.340.04
5.4000e+03000.370.04
5.6000e+03000.410.05
5.8000e+03000.440.05
6.0000e+03000.470.05
6.2000e+03010.510.06
6.4000e+03010.540.06
6.6000e+03010.580.06
6.8000e+03010.620.07
7.0000e+03010.660.07
7.2000e+03010.700.07
7.4000e+03010.740.08
7.6000e+03010.780.08
7.8000e+03010.820.08
8.0000e+03010.860.09
8.2000e+03010.910.09
8.4000e+03010.950.09
8.6000e+03010.990.10
8.8000e+03011.040.10
9.0000e+03011.090.10
9.2000e+03011.130.11
9.4000e+03011.180.11
9.6000e+03110.230.02
9.8000e+03110.280.03
1.0000e+04110.330.03
1.0500e+04110.460.04
1.1000e+04120.590.05
1.1500e+04120.730.06
1.2000e+04120.870.07
1.2500e+04121.010.09
1.3000e+04220.150.01
1.3500e+04220.300.02
1.4000e+04220.460.04
1.4500e+0433-0.39-0.03
1.5000e+0433-0.23-0.02
1.5500e+0433-0.07-0.01
1.6000e+0443-0.91-0.07
1.6500e+0443-0.74-0.06
1.7000e+0443-0.57-0.04
1.7500e+0444-0.40-0.03
1.8000e+0444-0.22-0.02
1.8500e+0444-0.05-0.00
1.9000e+0454-0.87-0.06
1.9500e+0454-0.69-0.05
2.0000e+0454-0.50-0.04
2.1000e+0455-0.13-0.01
2.2000e+04550.250.02
2.3000e+0486-2.36-0.16
2.4000e+0486-1.96-0.13
2.5000e+0496-2.56-0.16
2.6000e+0497-2.15-0.14
2.7000e+0497-1.73-0.11
2.8000e+04108-2.31-0.14
2.9000e+04118-2.88-0.17
3.0000e+04129-3.45-0.21
3.1000e+04129-3.00-0.18
3.2000e+04129-2.56-0.15
3.3000e+041310-3.11-0.18
3.4000e+041310-2.65-0.15
3.5000e+041311-2.19-0.12
3.6000e+041311-1.72-0.10
3.7000e+041312-1.25-0.07
3.8000e+041312-0.77-0.04
3.9000e+041313-0.29-0.02
4.0000e+0413130.190.01
4.1000e+041414-0.32-0.02
4.2000e+0414140.180.01
4.3000e+041515-0.33-0.02
4.4000e+0415150.180.01
4.5000e+0415160.680.03
4.6000e+041716-0.81-0.04
4.7000e+041917-2.30-0.11
4.8000e+041917-1.78-0.09
4.9000e+042018-2.26-0.11
5.0000e+042018-1.74-0.08
5.2000e+042119-1.68-0.08
5.4000e+042120-0.62-0.03
5.6000e+0421210.460.02
5.8000e+0422230.560.03
6.0000e+0422241.660.07
6.2000e+0424250.770.03
6.4000e+0425260.900.04
6.6000e+0425272.030.09
6.8000e+0427281.180.05
7.0000e+043029-0.67-0.03
7.2000e+043130-0.50-0.02
7.4000e+043432-2.33-0.10
7.6000e+043433-1.15-0.05
7.8000e+043534-0.96-0.04
8.0000e+043635-0.76-0.03
8.2000e+0436360.440.02
8.4000e+043838-0.34-0.01
8.6000e+044039-1.12-0.04
8.8000e+0440400.100.00
9.0000e+044241-0.66-0.03
9.2000e+044543-2.42-0.09
9.4000e+044644-2.17-0.08
9.6000e+044845-2.91-0.11
9.8000e+045246-5.65-0.21
1.0000e+055448-6.38-0.23
1.0500e+055551-4.19-0.15
1.1000e+055754-2.95-0.10
1.1500e+056057-2.69-0.09
1.2000e+056661-5.39-0.18
1.2500e+056864-4.06-0.13
1.3000e+057167-3.69-0.12
1.3500e+057471-3.30-0.11
1.4000e+057674-1.89-0.06
1.4500e+058178-3.44-0.11
1.5000e+058281-0.98-0.03
1.5500e+058585-0.48-0.01
1.6000e+058988-0.97-0.03
1.6500e+0591920.570.02
1.7000e+0594951.130.03
1.7500e+059999-0.29-0.01
1.8000e+051021020.310.01
1.8500e+051051060.930.03
1.9000e+051071102.570.07
1.9500e+05114113-0.77-0.02
2.0000e+05117117-0.09-0.00
2.1000e+051211243.310.09
2.2000e+051281323.780.10
2.3000e+051341395.300.14
2.4000e+051431473.890.10
2.5000e+051471557.540.19
2.6000e+051571625.230.13
2.7000e+051631706.980.17
2.8000e+0516617811.770.28
2.9000e+0517418611.620.27
3.0000e+051841949.500.22
3.1000e+0519020111.430.26
3.2000e+052002099.400.21
3.3000e+0520621711.410.25
3.4000e+0521322512.460.27
3.5000e+0522323410.540.23
3.6000e+0522824213.660.29
3.7000e+0523925010.820.23
3.8000e+0524725811.000.23
3.9000e+0525326613.220.27
4.0000e+0525827416.470.34
4.1000e+0526828314.750.30
4.2000e+0527429117.060.34
4.3000e+0527829921.400.42
4.4000e+0528830819.770.39
4.5000e+0529631620.160.39
4.6000e+0530332521.580.41
4.7000e+0530733326.020.50
4.8000e+0531634125.490.48
4.9000e+0532535024.990.47
5.0000e+0533135927.510.51
5.2000e+0535237623.610.43
5.4000e+0536639326.800.48
5.6000e+0538041030.080.53
5.8000e+0539342734.430.60
6.0000e+0541044534.860.60
6.2000e+0542746235.370.60
6.4000e+0544548034.950.58
6.6000e+0546849829.590.49
6.8000e+0548851527.300.44
7.0000e+0550453329.080.47
7.2000e+0552555125.910.41
7.4000e+0553656932.800.52
7.6000e+0554658740.760.63
7.8000e+0556460540.760.63
8.0000e+0558662336.820.56
8.2000e+0560464136.930.56
8.4000e+0562765932.090.48
8.6000e+0564867729.300.43
8.8000e+0566769628.560.42
9.0000e+0568471429.860.43
9.2000e+0569973233.210.48
9.4000e+0570975141.600.59
9.6000e+0572776942.040.59
9.8000e+0574378844.510.62
1.0000e+0676780639.030.54
1.0500e+0681085242.480.57
1.1000e+0687189928.170.37
1.1500e+0691594631.070.40
1.2000e+0695499339.190.50
1.2500e+06986104054.490.68
1.3000e+061032108855.980.69
1.3500e+061077113658.650.71
1.4000e+061134118349.480.59
1.4500e+061189123142.480.50
1.5000e+061231128048.630.56
1.5500e+061286132841.930.48
1.6000e+061335137641.360.47
1.6500e+061384142540.940.46
1.7000e+061423147450.640.56
1.7500e+061477152245.470.49
1.8000e+061520157151.420.55
1.8500e+061571162049.490.53
1.9000e+061622167047.670.50
1.9500e+061673171945.950.48
2.0000e+061726176842.350.43
2.1000e+061843186724.440.25
2.2000e+061934196732.910.32
2.3000e+062038206728.750.28
2.4000e+06215721679.930.09
2.5000e+0622772267-9.57-0.09
2.6000e+0623852368-16.77-0.15
2.7000e+0624952469-25.67-0.23
2.8000e+0625962571-25.30-0.22
2.9000e+0626802672-7.66-0.07
3.0000e+06276527749.240.08
3.1000e+062849287627.370.23
3.2000e+062961297917.740.15
3.3000e+063060308121.330.18
3.4000e+063148318436.130.29
3.5000e+063255328732.140.26
3.6000e+063355339035.350.28
3.7000e+063454349439.750.31
3.8000e+063544359753.330.41
3.9000e+063643370158.090.45
4.0000e+063747380558.030.44
4.1000e+063840390969.120.52
4.2000e+063930401383.380.62
4.3000e+064042411875.800.56
4.4000e+064142422280.370.59
4.5000e+064242432785.080.61
4.6000e+064346443285.940.61
4.7000e+064457453779.930.57
4.8000e+0645414642101.060.71
4.9000e+064654474793.320.65
5.0000e+064763485389.710.62
5.2000e+064989506474.850.51
5.4000e+065211527564.470.43
5.6000e+065431548856.530.37
5.8000e+065641570059.020.38
6.0000e+065852591360.910.39
6.2000e+066077612649.200.31
6.4000e+066287634052.860.33
6.6000e+066497655456.870.35
6.8000e+066713676855.230.33
7.0000e+066933698349.920.30
7.2000e+067162719835.920.21
7.4000e+067390741323.230.14
7.6000e+067600762928.830.17
7.8000e+0678507845-5.28-0.03
8.0000e+0680718061-10.12-0.06
8.2000e+068264827713.300.07
8.4000e+068483849410.980.06
8.6000e+068679871131.910.17
8.8000e+068918892810.070.05
9.0000e+069124914521.470.11
9.2000e+06936293631.100.01
9.4000e+0695849581-3.06-0.02
9.6000e+069777979922.000.11
9.8000e+0699791001738.260.20
1.0000e+07101941023641.720.21
1.0500e+07107511078331.720.16
1.1000e+07113071133123.870.12
1.1500e+0711880118800.080.00
1.2000e+071244812430-17.69-0.08
1.2500e+071298212981-0.52-0.00
1.3000e+071354413534-10.45-0.05
1.3500e+071411914086-32.53-0.15
1.4000e+071466014640-19.79-0.09
1.4500e+071522015195-25.30-0.11
1.5000e+071576915750-19.07-0.08
1.5500e+071631416306-8.14-0.03
1.6000e+071686416862-1.55-0.01
1.6500e+07173971742022.680.09
1.7000e+07179361797841.520.17
1.7500e+071853918536-3.06-0.01
1.8000e+071910119095-6.08-0.02
1.8500e+071966519654-10.55-0.04
1.9000e+0720210202144.490.02
1.9500e+072079420775-18.97-0.07
2.0000e+072136321336-26.94-0.10
2.1000e+0722452224597.480.03
2.2000e+072365023585-65.36-0.24
2.3000e+072480624711-94.58-0.33
2.4000e+072591925840-79.28-0.27
2.5000e+072708926969-119.54-0.41
2.6000e+072823028101-129.46-0.43
2.7000e+072936429233-131.11-0.43
2.8000e+073045930366-92.54-0.30
2.9000e+073159831501-96.84-0.31
3.0000e+073274132637-104.05-0.33
3.1000e+073383533774-61.22-0.19
3.2000e+073497134912-59.41-0.18
3.3000e+073610836050-57.66-0.17
3.4000e+073722037190-30.02-0.09
3.5000e+073835038330-19.51-0.06
3.6000e+073952839472-56.18-0.16
3.7000e+074066140614-47.07-0.13
3.8000e+074180141757-44.19-0.13
3.9000e+074297042900-69.59-0.19
4.0000e+074412844045-83.29-0.23
4.1000e+074531445190-124.32-0.34
4.2000e+074646546335-129.70-0.35
4.3000e+074757147482-89.45-0.24
4.4000e+074872248628-93.60-0.25
4.5000e+074989749776-121.17-0.32
4.6000e+075105550924-131.18-0.34
4.7000e+075218952072-116.64-0.30
4.8000e+075337553221-153.58-0.39
4.9000e+075453754371-166.00-0.42
5.0000e+075572255521-200.94-0.50
5.2000e+075802057823-197.38-0.49
5.4000e+076037060126-244.03-0.59
5.6000e+076268762431-255.98-0.61
5.8000e+076499764738-259.32-0.61
6.0000e+076731667046-270.15-0.62
6.2000e+076965969355-303.54-0.69
6.4000e+077193171666-264.57-0.59
6.6000e+077425173979-272.30-0.60
6.8000e+077659476292-301.79-0.66
7.0000e+077895178607-344.11-0.74
7.2000e+078130180923-378.31-0.81
7.4000e+078361283240-372.44-0.78
7.6000e+078595885557-400.54-0.83
7.8000e+078827187876-394.66-0.81
8.0000e+079052490196-327.84-0.67
8.2000e+079281292517-295.12-0.59
8.4000e+079513194838-292.54-0.58
8.6000e+079748497161-323.13-0.64
8.8000e+079994599484-460.91-0.90
9.0000e+07102266101808-457.93-0.88
9.2000e+07104554104133-421.22-0.81
9.4000e+07106844106458-385.79-0.73
9.6000e+07109269108784-484.67-0.91
9.8000e+07111623111111-511.89-0.95
1.0000e+08114028113439-589.47-1.09
1.0500e+08119924119260-664.28-1.20
1.1000e+08125751125084-666.54-1.18
1.1500e+08131471130912-558.55-0.97
1.2000e+08137222136743-478.54-0.81
1.2500e+08142994142577-416.74-0.69
1.3000e+08148825148414-411.35-0.67
1.3500e+08154584154252-331.56-0.53
1.4000e+08160412160093-318.52-0.50
1.4500e+08166314165937-377.39-0.59
1.5000e+08172182171782-400.30-0.62
1.5500e+08177992177629-363.38-0.55
1.6000e+08183899183477-421.74-0.63
1.6500e+08189808189328-480.49-0.71
1.7000e+08195565195179-385.71-0.56
1.7500e+08201395201032-362.51-0.52
1.8000e+08207373206887-485.96-0.69
1.8500e+08213271212743-528.15-0.74
1.9000e+08219052218600-452.13-0.63
1.9500e+08224959224458-500.99-0.68
2.0000e+08230753230317-435.77-0.59
2.1000e+08242497242039-458.36-0.61
2.2000e+08254196253764-432.31-0.56
2.3000e+08265880265492-388.01-0.49
2.4000e+08277623277223-399.76-0.50
2.5000e+08289404288957-446.87-0.55
2.6000e+08301091300693-397.58-0.48
2.7000e+08312899312432-467.14-0.55
2.8000e+08324667324172-494.75-0.58
2.9000e+08336622335914-707.60-0.81
3.0000e+08348249347658-590.86-0.67
3.1000e+08360147359403-743.68-0.83
3.2000e+08372016371150-866.21-0.95
3.3000e+08383758382897-860.56-0.93
3.4000e+08395461394646-814.87-0.87
3.5000e+08407283406396-887.23-0.93
3.6000e+08418899418146-752.74-0.78
3.7000e+08430693429898-795.50-0.82
3.8000e+08442563441649-913.58-0.93
3.9000e+08454399453402-997.07-1.00
4.0000e+08466162465155-1007.04-1.00
4.1000e+08477956476908-1047.55-1.03
4.2000e+08489772488662-1109.66-1.08
4.3000e+08501494500417-1077.44-1.03
4.4000e+08513306512171-1134.93-1.08
4.5000e+08525164523926-1238.18-1.16
4.6000e+08536883535681-1202.24-1.12
4.7000e+08548746547436-1310.15-1.21
4.8000e+08560430559191-1238.95-1.13
4.9000e+08572141570946-1194.68-1.08
5.0000e+08583940582702-1238.38-1.11
5.2000e+08607639606212-1426.79-1.26
5.4000e+08631067629723-1344.42-1.16
5.6000e+08654719653233-1486.49-1.27
5.8000e+08677940676742-1198.17-1.00
6.0000e+08701140700250-889.64-0.73
6.2000e+08724676723758-918.04-0.75
6.4000e+08748354747265-1089.49-0.87
6.6000e+08771744770770-974.13-0.77
6.8000e+08795302794274-1028.03-0.80
7.0000e+08818865817777-1088.31-0.84
7.2000e+08842357841278-1079.04-0.82
7.4000e+08865849864778-1071.30-0.80
7.6000e+08889384888276-1108.15-0.82
7.8000e+08912872911772-1099.64-0.81
8.0000e+08936432935267-1164.84-0.84
8.2000e+08959877958760-1116.79-0.80
8.4000e+08983486982251-1234.54-0.88
8.6000e+0810073571005741-1616.11-1.13
8.8000e+0810308341029228-1605.55-1.11
9.0000e+0810542891052714-1574.88-1.08
9.2000e+0810779141076198-1716.14-1.17
9.4000e+0811013871099680-1707.33-1.15
9.6000e+0811248361123160-1676.50-1.12
9.8000e+0811479261146637-1288.64-0.85
1.0000e+0911715241170113-1410.79-0.92
1.0500e+0912300571228794-1263.00-0.81
1.1000e+0912882121287462-749.98-0.47
1.1500e+0913468981346117-780.83-0.48
1.2000e+0914056311404759-871.63-0.53
1.2500e+0914640601463389-671.41-0.40
1.3000e+0915221911522005-186.16-0.11
1.3500e+0915807991580608-190.88-0.11
1.4000e+0916392741639198-75.51-0.04
1.4500e+0916978851697776-109.00-0.06
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