Gap size : 74 (r=37)

Generated by program gapCounts : Mon Jun 27 12:44:18 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+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+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+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+04000.010.00
2.8000e+04000.010.00
2.9000e+04000.010.00
3.0000e+04000.010.00
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+04000.020.00
4.1000e+04000.020.00
4.2000e+04000.020.00
4.3000e+04000.020.00
4.4000e+04000.020.00
4.5000e+04000.020.00
4.6000e+04000.020.00
4.7000e+04000.020.00
4.8000e+04000.020.00
4.9000e+04000.030.00
5.0000e+04000.030.00
5.2000e+04000.030.00
5.4000e+04000.030.00
5.6000e+04000.040.00
5.8000e+04000.040.00
6.0000e+04000.040.00
6.2000e+04000.050.00
6.4000e+04000.050.00
6.6000e+04000.050.00
6.8000e+04000.060.00
7.0000e+04000.060.00
7.2000e+04000.060.00
7.4000e+04000.070.00
7.6000e+04000.070.00
7.8000e+04000.080.00
8.0000e+04000.080.00
8.2000e+04000.090.00
8.4000e+04000.090.00
8.6000e+04000.090.00
8.8000e+04000.100.00
9.0000e+04000.100.00
9.2000e+04000.110.00
9.4000e+04000.110.00
9.6000e+04000.120.00
9.8000e+04000.120.00
1.0000e+05000.130.00
1.0500e+05000.140.01
1.1000e+05000.160.01
1.1500e+05000.170.01
1.2000e+05000.190.01
1.2500e+05000.210.01
1.3000e+05000.220.01
1.3500e+05000.240.01
1.4000e+05000.260.01
1.4500e+05000.280.01
1.5000e+05000.300.01
1.5500e+05000.320.01
1.6000e+05000.340.01
1.6500e+05000.360.01
1.7000e+05000.380.01
1.7500e+05000.400.01
1.8000e+05000.420.01
1.8500e+05000.450.01
1.9000e+05000.470.01
1.9500e+05000.490.01
2.0000e+05010.520.01
2.1000e+05010.570.02
2.2000e+05010.620.02
2.3000e+05010.670.02
2.4000e+05010.720.02
2.5000e+05010.780.02
2.6000e+05010.840.02
2.7000e+05010.900.02
2.8000e+05010.960.02
2.9000e+05011.020.02
3.0000e+05011.090.02
3.1000e+05011.150.03
3.2000e+05011.220.03
3.3000e+05011.290.03
3.4000e+05011.360.03
3.5000e+05011.430.03
3.6000e+05011.500.03
3.7000e+05021.570.03
3.8000e+05021.650.03
3.9000e+05021.720.04
4.0000e+05021.800.04
4.1000e+05120.880.02
4.2000e+05120.960.02
4.3000e+05121.040.02
4.4000e+05121.120.02
4.5000e+05121.200.02
4.6000e+05121.290.02
4.7000e+05121.370.03
4.8000e+05121.460.03
4.9000e+05131.540.03
5.0000e+05131.630.03
5.2000e+05230.810.01
5.4000e+0533-0.01-0.00
5.6000e+05330.180.00
5.8000e+05330.370.01
6.0000e+05340.570.01
6.2000e+0544-0.24-0.00
6.4000e+0554-1.04-0.02
6.6000e+0554-0.83-0.01
6.8000e+0554-0.62-0.01
7.0000e+0555-0.41-0.01
7.2000e+0555-0.20-0.00
7.4000e+05550.020.00
7.6000e+0575-1.76-0.03
7.8000e+0575-1.53-0.02
8.0000e+0586-2.31-0.04
8.2000e+0586-2.08-0.03
8.4000e+0586-1.84-0.03
8.6000e+0586-1.61-0.02
8.8000e+0587-1.37-0.02
9.0000e+05107-3.13-0.05
9.2000e+05107-2.89-0.04
9.4000e+05107-2.64-0.04
9.6000e+05128-4.39-0.06
9.8000e+05128-4.14-0.06
1.0000e+06128-3.89-0.05
1.0500e+06129-3.24-0.04
1.1000e+06139-3.58-0.05
1.1500e+061410-3.91-0.05
1.2000e+061511-4.22-0.05
1.2500e+061611-4.52-0.06
1.3000e+061712-4.81-0.06
1.3500e+061813-5.08-0.06
1.4000e+061814-4.34-0.05
1.4500e+061914-4.59-0.05
1.5000e+061915-3.83-0.04
1.5500e+061916-3.06-0.04
1.6000e+061917-2.28-0.03
1.6500e+061918-1.48-0.02
1.7000e+061918-0.68-0.01
1.7500e+0619190.130.00
1.8000e+0619200.960.01
1.8500e+0620210.790.01
1.9000e+0620221.640.02
1.9500e+0620222.490.03
2.0000e+0620233.350.03
2.1000e+0622253.100.03
2.2000e+0622274.880.05
2.3000e+0627291.690.02
2.4000e+0630310.540.01
2.5000e+0630322.410.02
2.6000e+0633341.320.01
2.7000e+0635361.250.01
2.8000e+0636382.210.02
2.9000e+0637403.200.03
3.0000e+0640422.210.02
3.1000e+0641443.250.03
3.2000e+0645461.320.01
3.3000e+0648480.400.00
3.4000e+0650510.510.00
3.5000e+065353-0.36-0.00
3.6000e+0654550.800.01
3.7000e+0654572.970.02
3.8000e+0658591.170.01
3.9000e+0658613.380.03
4.0000e+0659644.620.04
4.1000e+0659666.870.05
4.2000e+0663685.150.04
4.3000e+0663707.440.05
4.4000e+0664738.750.06
4.5000e+0668757.080.05
4.6000e+0671776.430.05
4.7000e+0673806.790.05
4.8000e+0674828.170.06
4.9000e+0676858.570.06
5.0000e+06768710.980.08
5.2000e+06809211.860.08
5.4000e+06839713.800.09
5.6000e+068610215.790.10
5.8000e+069110715.850.10
6.0000e+069311218.960.12
6.2000e+0610111716.130.10
6.4000e+0610912213.350.08
6.6000e+0611212815.620.10
6.8000e+0611613316.930.10
7.0000e+0612313815.300.09
7.2000e+0613114412.720.07
7.4000e+0613614913.180.08
7.6000e+0614015514.690.08
7.8000e+0614716013.240.08
8.0000e+0615216613.830.08
8.2000e+0615917112.470.07
8.4000e+0616717710.150.06
8.6000e+0617118311.860.06
8.8000e+0617818910.620.06
9.0000e+061861948.410.04
9.2000e+061912009.250.05
9.4000e+061972069.120.05
9.6000e+062032129.020.05
9.8000e+062112186.960.04
1.0000e+072182245.940.03
1.0500e+072372392.030.01
1.1000e+072482546.320.03
1.1500e+072642705.800.03
1.2000e+072852850.480.00
1.2500e+07304301-2.66-0.01
1.3000e+07319317-1.63-0.01
1.3500e+07335334-1.44-0.01
1.4000e+073473502.920.01
1.4500e+073583668.440.04
1.5000e+073753838.100.03
1.5500e+073954004.920.02
1.6000e+074144172.870.01
1.6500e+07439434-5.04-0.02
1.7000e+07452451-0.81-0.00
1.7500e+07475469-6.46-0.03
1.8000e+07496486-9.97-0.04
1.8500e+07515504-11.37-0.04
1.9000e+07534521-12.64-0.05
1.9500e+07553539-13.80-0.05
2.0000e+07573557-15.84-0.06
2.1000e+07601593-7.59-0.03
2.2000e+07645630-14.92-0.05
2.3000e+07686667-18.84-0.07
2.4000e+07725705-20.36-0.07
2.5000e+07753742-10.52-0.04
2.6000e+07782781-1.31-0.00
2.7000e+07823819-3.76-0.01
2.8000e+07877858-18.87-0.06
2.9000e+07912897-14.65-0.05
3.0000e+07953937-16.13-0.05
3.1000e+07992977-15.30-0.05
3.2000e+0710321017-15.18-0.05
3.3000e+0710731057-15.78-0.05
3.4000e+0711251098-27.10-0.08
3.5000e+0711711139-32.15-0.09
3.6000e+0712221180-41.94-0.12
3.7000e+0712591222-37.48-0.11
3.8000e+0713011263-37.77-0.11
3.9000e+0713471305-41.82-0.12
4.0000e+0713911347-43.64-0.12
4.1000e+0714291390-39.23-0.11
4.2000e+0714761432-43.59-0.12
4.3000e+0715141475-38.74-0.10
4.4000e+0715581518-39.67-0.11
4.5000e+0716031562-41.40-0.11
4.6000e+0716411605-35.92-0.09
4.7000e+0716821649-33.24-0.09
4.8000e+0717231693-30.37-0.08
4.9000e+0717681737-31.31-0.08
5.0000e+0718121781-31.05-0.08
5.2000e+0718971870-27.00-0.07
5.4000e+0720121960-52.24-0.13
5.6000e+0721042050-53.80-0.13
5.8000e+0721872141-45.71-0.11
6.0000e+0722942233-60.97-0.14
6.2000e+0723902325-64.63-0.15
6.4000e+0724802418-61.69-0.14
6.6000e+0725492512-37.17-0.08
6.8000e+0726512606-45.09-0.10
7.0000e+0727542701-53.47-0.12
7.2000e+0728572796-61.33-0.13
7.4000e+0729412891-49.67-0.10
7.6000e+0730502987-62.51-0.13
7.8000e+0731503084-65.87-0.14
8.0000e+0732493181-67.75-0.14
8.2000e+0733663279-87.17-0.18
8.4000e+0734713377-94.15-0.19
8.6000e+0735843475-108.68-0.21
8.8000e+0736933574-118.78-0.23
9.0000e+0738053674-131.46-0.25
9.2000e+0738953773-121.74-0.23
9.4000e+0739863873-112.61-0.21
9.6000e+0740873974-113.08-0.21
9.8000e+0742094075-134.18-0.25
1.0000e+0843164176-139.89-0.26
1.0500e+0845654431-134.09-0.24
1.1000e+0848184688-130.08-0.23
1.1500e+0850764947-128.98-0.22
1.2000e+0853345208-125.87-0.21
1.2500e+0856135471-141.83-0.24
1.3000e+0858845736-147.96-0.24
1.3500e+0861376003-134.31-0.22
1.4000e+0864016271-129.95-0.21
1.4500e+0866596541-117.95-0.18
1.5000e+0869416813-128.36-0.20
1.5500e+0872207086-134.24-0.20
1.6000e+0874957360-134.63-0.20
1.6500e+0877717636-134.59-0.20
1.7000e+0880237914-109.16-0.16
1.7500e+0883028193-109.37-0.16
1.8000e+0885678473-94.27-0.13
1.8500e+0888558754-100.90-0.14
1.9000e+0891279037-90.29-0.12
1.9500e+0894129321-91.47-0.13
2.0000e+0896679606-61.47-0.08
2.1000e+081024110179-62.08-0.08
2.2000e+081083410757-77.32-0.10
2.3000e+081138911339-50.41-0.06
2.4000e+081195211924-27.53-0.03
2.5000e+081254312514-28.84-0.04
2.6000e+08130901310717.490.02
2.7000e+08136701370434.330.04
2.8000e+08142691430535.540.04
2.9000e+081490914908-1.01-0.00
3.0000e+08155011551513.580.02
3.1000e+0816118161246.190.01
3.2000e+081678416737-47.28-0.05
3.3000e+081741317352-60.91-0.07
3.4000e+081804017970-69.81-0.07
3.5000e+081868518591-94.04-0.10
3.6000e+081931119214-96.69-0.10
3.7000e+081994019840-99.84-0.10
3.8000e+082054920468-80.55-0.08
3.9000e+082121121099-111.89-0.11
4.0000e+082180221732-69.92-0.07
4.1000e+082242322367-55.71-0.05
4.2000e+082305623005-51.30-0.05
4.3000e+082372023644-75.75-0.07
4.4000e+082437524286-89.12-0.08
4.5000e+082498724930-57.46-0.05
4.6000e+082564825575-72.80-0.07
4.7000e+082625526223-32.19-0.03
4.8000e+082689926872-26.69-0.02
4.9000e+082759527524-71.32-0.06
5.0000e+082830528177-128.13-0.11
5.2000e+082963829489-149.44-0.13
5.4000e+083096330807-155.89-0.13
5.6000e+083227832132-145.75-0.12
5.8000e+083357433464-110.27-0.09
6.0000e+083488534801-83.67-0.07
6.2000e+083623436145-89.17-0.07
6.4000e+083754537494-50.95-0.04
6.6000e+083892438849-75.22-0.06
6.8000e+084026740209-58.15-0.05
7.0000e+084162141574-46.88-0.04
7.2000e+084300242944-57.60-0.04
7.4000e+084432744320-7.43-0.01
7.6000e+084570545699-5.51-0.00
7.8000e+084710547084-20.98-0.02
8.0000e+0848464484739.040.01
8.2000e+08498224986644.430.03
8.4000e+085115851264106.080.08
8.6000e+08525835266682.890.06
8.8000e+08540445407227.750.02
9.0000e+08554435548238.570.03
9.2000e+08568055689590.260.06
9.4000e+08582165831396.720.07
9.6000e+08596695973464.870.04
9.8000e+08610876115971.640.05
1.0000e+09625266258760.940.04
1.0500e+096605766173115.680.07
1.1000e+096979369779-14.02-0.01
1.1500e+097344273405-37.15-0.02
1.2000e+097708177049-31.61-0.02
1.2500e+098087580712-163.20-0.10
1.3000e+098466584391-273.68-0.16
1.3500e+098830288087-214.75-0.12
1.4000e+099206091799-261.05-0.15
1.4500e+099585495526-328.17-0.18
1.5000e+099959599267-327.66-0.18
1.5500e+09103393103023-370.03-0.20
1.6000e+09107131106792-338.78-0.18
1.6500e+09111026110575-451.34-0.24
1.7000e+09114737114370-367.14-0.19
1.7500e+09118557118177-379.59-0.19
1.8000e+09122293121997-296.04-0.15
1.8500e+09126247125828-418.85-0.21
1.9000e+09130026129671-355.37-0.17
1.9500e+09133800133524-275.89-0.13
2.0000e+09137620137388-231.73-0.11
2.1000e+09145402145148-254.45-0.12
2.2000e+09153232152946-285.63-0.13
2.3000e+09160949160783-166.18-0.07
2.4000e+09168859168655-203.84-0.09
2.5000e+09176737176562-175.20-0.08
2.6000e+09184517184501-15.72-0.01
2.7000e+09192534192472-61.73-0.03
2.8000e+09200594200474-120.48-0.05
2.9000e+09208570208504-66.12-0.03
3.0000e+09216571216562-8.72-0.00
3.1000e+0922460722464840.720.02
3.2000e+09232786232759-26.73-0.01
3.3000e+09240759240896137.070.05
3.4000e+09248842249057215.300.08
3.5000e+09257065257242177.190.07
3.6000e+09265256265450194.020.07
3.7000e+09273409273680271.100.10
3.8000e+09281611281932320.800.11
3.9000e+09289782290205422.510.15
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