Gap size : 80 (r=40)

Generated by program gapCounts : Mon Jun 27 12:44:26 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+03000.000.00
3.0000e+03000.000.00
3.1000e+03000.000.00
3.2000e+03000.000.00
3.3000e+03000.000.00
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+030-0-0.00-0.00
4.4000e+030-0-0.00-0.00
4.5000e+030-0-0.00-0.00
4.6000e+030-0-0.00-0.00
4.7000e+030-0-0.00-0.00
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+04000.000.00
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+04000.010.00
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+04000.010.00
4.7000e+04000.010.00
4.8000e+04000.010.00
4.9000e+04000.010.00
5.0000e+04000.010.00
5.2000e+04000.010.00
5.4000e+04000.010.00
5.6000e+04000.020.00
5.8000e+04000.020.00
6.0000e+04000.020.00
6.2000e+04000.020.00
6.4000e+04000.020.00
6.6000e+04000.020.00
6.8000e+04000.030.00
7.0000e+04000.030.00
7.2000e+04000.030.00
7.4000e+04000.030.00
7.6000e+04000.030.00
7.8000e+04000.040.00
8.0000e+04000.040.00
8.2000e+04000.040.00
8.4000e+04000.040.00
8.6000e+04000.040.00
8.8000e+04000.050.00
9.0000e+04000.050.00
9.2000e+04000.050.00
9.4000e+04000.050.00
9.6000e+04000.060.00
9.8000e+04000.060.00
1.0000e+05000.060.00
1.0500e+05000.070.00
1.1000e+05000.080.00
1.1500e+05000.090.00
1.2000e+05000.090.00
1.2500e+05000.100.00
1.3000e+05000.110.00
1.3500e+05000.120.00
1.4000e+05000.130.00
1.4500e+05000.140.00
1.5000e+05000.150.00
1.5500e+05000.160.00
1.6000e+05000.170.01
1.6500e+05000.180.01
1.7000e+05000.200.01
1.7500e+05000.210.01
1.8000e+05000.220.01
1.8500e+05000.230.01
1.9000e+05000.250.01
1.9500e+05000.260.01
2.0000e+05000.270.01
2.1000e+05000.300.01
2.2000e+05000.330.01
2.3000e+05000.360.01
2.4000e+05000.390.01
2.5000e+05000.430.01
2.6000e+05000.460.01
2.7000e+05000.490.01
2.8000e+05010.530.01
2.9000e+05010.570.01
3.0000e+05010.600.01
3.1000e+05010.640.01
3.2000e+05010.680.02
3.3000e+05010.720.02
3.4000e+05010.760.02
3.5000e+05010.810.02
3.6000e+05010.850.02
3.7000e+05010.890.02
3.8000e+05010.940.02
3.9000e+05010.990.02
4.0000e+05011.030.02
4.1000e+05011.080.02
4.2000e+05011.130.02
4.3000e+05011.180.02
4.4000e+05011.230.02
4.5000e+05011.280.02
4.6000e+05011.330.03
4.7000e+05011.380.03
4.8000e+05011.440.03
4.9000e+05011.490.03
5.0000e+05021.540.03
5.2000e+05021.650.03
5.4000e+05021.770.03
5.6000e+05120.890.02
5.8000e+05121.010.02
6.0000e+05121.130.02
6.2000e+05220.250.00
6.4000e+05220.380.01
6.6000e+05230.510.01
6.8000e+05230.640.01
7.0000e+05230.780.01
7.2000e+05230.910.01
7.4000e+05231.050.02
7.6000e+05231.200.02
7.8000e+05231.340.02
8.0000e+05231.490.02
8.2000e+05340.630.01
8.4000e+05340.790.01
8.6000e+05340.940.01
8.8000e+05341.090.02
9.0000e+05341.250.02
9.2000e+05341.410.02
9.4000e+05351.570.02
9.6000e+05351.730.02
9.8000e+05351.900.03
1.0000e+06352.060.03
1.0500e+06451.490.02
1.1000e+0676-1.08-0.01
1.1500e+06106-3.63-0.05
1.2000e+06117-4.18-0.05
1.2500e+06137-5.71-0.07
1.3000e+06158-7.23-0.09
1.3500e+06158-6.75-0.08
1.4000e+06169-7.25-0.09
1.4500e+06179-7.75-0.09
1.5000e+061910-9.23-0.11
1.5500e+061910-8.71-0.10
1.6000e+062111-10.18-0.11
1.6500e+062111-9.64-0.11
1.7000e+062112-9.09-0.10
1.7500e+062212-9.54-0.10
1.8000e+062213-8.98-0.10
1.8500e+062414-10.41-0.11
1.9000e+062414-9.83-0.10
1.9500e+062415-9.24-0.10
2.0000e+062515-9.65-0.10
2.1000e+062517-8.44-0.08
2.2000e+062618-8.21-0.08
2.3000e+062619-6.95-0.07
2.4000e+062620-5.67-0.05
2.5000e+062622-4.36-0.04
2.6000e+062823-5.03-0.05
2.7000e+062924-4.68-0.04
2.8000e+063026-4.30-0.04
2.9000e+063127-3.90-0.03
3.0000e+063129-2.48-0.02
3.1000e+063330-3.04-0.03
3.2000e+063431-2.58-0.02
3.3000e+063833-5.10-0.04
3.4000e+064134-6.61-0.05
3.5000e+064336-7.09-0.06
3.6000e+064337-5.55-0.04
3.7000e+064439-5.00-0.04
3.8000e+064641-5.43-0.04
3.9000e+064742-4.85-0.04
4.0000e+064844-4.24-0.03
4.1000e+065045-4.63-0.03
4.2000e+065247-4.99-0.04
4.3000e+065349-4.34-0.03
4.4000e+065450-3.67-0.03
4.5000e+065652-3.99-0.03
4.6000e+065854-4.30-0.03
4.7000e+065955-3.59-0.03
4.8000e+066357-5.86-0.04
4.9000e+066559-6.13-0.04
5.0000e+066961-8.37-0.06
5.2000e+067264-7.83-0.05
5.4000e+067668-8.23-0.05
5.6000e+067671-4.59-0.03
5.8000e+067975-3.89-0.03
6.0000e+068379-4.15-0.03
6.2000e+068983-6.36-0.04
6.4000e+069286-5.52-0.03
6.6000e+069690-5.64-0.03
6.8000e+0610394-8.72-0.05
7.0000e+0610798-8.76-0.05
7.2000e+06109102-6.76-0.04
7.4000e+06113106-6.71-0.04
7.6000e+06117110-6.63-0.04
7.8000e+06119114-4.51-0.03
8.0000e+06123119-4.35-0.02
8.2000e+06128123-5.16-0.03
8.4000e+06130127-2.93-0.02
8.6000e+06133131-1.67-0.01
8.8000e+06137136-1.37-0.01
9.0000e+06140140-0.04-0.00
9.2000e+06150144-5.67-0.03
9.4000e+06151149-2.28-0.01
9.6000e+061531530.150.00
9.8000e+061571580.610.00
1.0000e+07165162-2.90-0.01
1.0500e+07179173-5.55-0.03
1.1000e+07187185-2.02-0.01
1.1500e+071951971.690.01
1.2000e+071992099.560.04
1.2500e+072132217.580.04
1.3000e+0721723315.760.07
1.3500e+0723424511.090.05
1.4000e+0724125816.570.07
1.4500e+0725327017.180.07
1.5000e+0726528317.930.08
1.5500e+0727929616.810.07
1.6000e+0729630912.810.05
1.6500e+073143227.940.03
1.7000e+073273358.190.03
1.7500e+0733634912.550.05
1.8000e+073573625.030.02
1.8500e+073743761.620.01
1.9000e+073853894.320.02
1.9500e+073994034.120.02
2.0000e+074104177.030.03
2.1000e+0743144514.140.05
2.2000e+0745747416.640.06
2.3000e+0748650316.510.06
2.4000e+0751353218.730.06
2.5000e+0753956122.300.08
2.6000e+0757859113.200.04
2.7000e+0760262119.410.06
2.8000e+0763965212.930.04
2.9000e+0767168311.750.04
3.0000e+0769471419.850.06
3.1000e+0772774518.230.06
3.2000e+0776177715.890.05
3.3000e+0779480914.800.04
3.4000e+0782584115.970.05
3.5000e+0785887315.390.05
3.6000e+0788890618.050.05
3.7000e+0792393915.950.05
3.8000e+0795797215.070.04
3.9000e+07987100518.420.05
4.0000e+071013103925.990.07
4.1000e+071037107335.760.10
4.2000e+071069110737.750.10
4.3000e+071103114137.940.10
4.4000e+071139117536.330.10
4.5000e+071168121041.920.11
4.6000e+071208124536.700.10
4.7000e+071251128028.660.07
4.8000e+071288131526.810.07
4.9000e+071319135031.130.08
5.0000e+071346138639.640.10
5.2000e+071418145739.160.10
5.4000e+071491152938.350.09
5.6000e+071569160233.180.08
5.8000e+071638167637.630.09
6.0000e+071707175042.680.10
6.2000e+071776182448.320.11
6.4000e+071855190044.520.10
6.6000e+071928197547.270.10
6.8000e+071996205255.550.12
7.0000e+072079212849.340.11
7.2000e+072148220657.640.12
7.4000e+072234228349.430.10
7.6000e+072313236248.700.10
7.8000e+072394244046.430.10
8.0000e+072466252053.610.11
8.2000e+072549259950.240.10
8.4000e+072644267935.300.07
8.6000e+072721276038.780.08
8.8000e+072797284143.670.09
9.0000e+072874292247.970.09
9.2000e+072955300448.670.09
9.4000e+073031308654.750.10
9.6000e+073112316856.210.11
9.8000e+073200325151.040.09
1.0000e+083281333453.230.10
1.0500e+083513354430.770.06
1.1000e+083715375540.430.07
1.1500e+083927396942.130.07
1.2000e+084122418562.790.11
1.2500e+084336440266.310.11
1.3000e+084542462279.630.13
1.3500e+084743484399.680.16
1.4000e+084978506587.410.14
1.4500e+085202529087.740.14
1.5000e+085416551699.630.15
1.5500e+0856375743106.030.16
1.6000e+0858615972110.890.17
1.6500e+086106620296.150.14
1.7000e+086350643483.800.12
1.7500e+086577666789.770.13
1.8000e+0867946901107.040.15
1.8500e+0870237137113.570.16
1.9000e+087292737381.330.11
1.9500e+087520761191.280.12
2.0000e+087778785072.390.10
2.1000e+0882328332100.010.13
2.2000e+0886928818125.950.16
2.3000e+0891909308118.040.15
2.4000e+0896749802128.080.16
2.5000e+081018610300113.920.14
2.6000e+08107271080174.410.09
2.7000e+081119311306113.400.13
2.8000e+081169111815123.780.14
2.9000e+081222612326100.420.11
3.0000e+081273312841108.200.12
3.1000e+081321013359149.020.17
3.2000e+081373913880140.800.15
3.3000e+081425314403150.420.16
3.4000e+081477514930154.820.16
3.5000e+081528215459176.900.19
3.6000e+081580815991182.600.19
3.7000e+081636816525156.830.16
3.8000e+081694317062118.530.12
3.9000e+081746817601132.640.13
4.0000e+081801318142129.090.13
4.1000e+081853018686155.820.15
4.2000e+081907719232154.780.15
4.3000e+081963319780146.920.14
4.4000e+082016420330166.190.16
4.5000e+082074720883135.530.13
4.6000e+082127521437161.900.15
4.7000e+082186721993126.250.12
4.8000e+082245122552100.550.09
4.9000e+08230392311272.760.07
5.0000e+08235932367480.830.07
5.2000e+08247772480326.410.02
5.4000e+08259052594035.010.03
5.6000e+08270472708336.380.03
5.8000e+08281962823337.270.03
6.0000e+08293302938959.450.05
6.2000e+08305283055223.710.02
6.4000e+08317063172013.860.01
6.6000e+083289532894-1.29-0.00
6.8000e+08340423407331.080.02
7.0000e+08351653525892.810.07
7.2000e+08363913644856.740.04
7.4000e+083766337643-20.27-0.02
7.6000e+08388093884333.640.02
7.8000e+08400264004721.340.02
8.0000e+084128441257-27.29-0.02
8.2000e+084247742471-6.38-0.00
8.4000e+0843680436898.960.01
8.6000e+084491544912-3.37-0.00
8.8000e+084617246139-33.48-0.02
9.0000e+08473504737019.540.01
9.2000e+084860848605-3.40-0.00
9.4000e+08498154984428.590.02
9.6000e+08510205108666.450.04
9.8000e+08522605233373.080.05
1.0000e+09535225358361.420.04
1.0500e+09567055672519.940.01
1.1000e+095991159888-22.98-0.01
1.1500e+096313663072-64.35-0.04
1.2000e+096643566275-160.08-0.10
1.2500e+096971369497-216.00-0.13
1.3000e+097289872737-160.89-0.09
1.3500e+097615275995-157.45-0.09
1.4000e+097942279269-153.34-0.09
1.4500e+098275582559-196.17-0.11
1.5000e+098604585864-180.50-0.10
1.5500e+098935089185-164.87-0.09
1.6000e+099266092520-139.78-0.07
1.6500e+099594495869-74.68-0.04
1.7000e+099929099232-58.02-0.03
1.7500e+09102676102608-68.19-0.03
1.8000e+09106086105996-89.60-0.05
1.8500e+09109442109397-44.60-0.02
1.9000e+09112818112810-7.53-0.00
1.9500e+09116337116235-101.73-0.05
2.0000e+09119756119671-84.51-0.04
2.1000e+09126601126577-23.95-0.01
2.2000e+09133651133525-126.05-0.06
2.3000e+09140712140513-198.77-0.09
2.4000e+09147761147540-220.95-0.10
2.5000e+09154840154604-236.23-0.10
2.6000e+09162039161703-336.14-0.14
2.7000e+09169056168836-220.09-0.09
2.8000e+09176192176002-190.39-0.08
2.9000e+09183369183199-170.23-0.07
3.0000e+09190679190426-252.74-0.10
3.1000e+09197766197683-82.97-0.03
3.2000e+09204995204968-26.90-0.01
3.3000e+09212447212281-166.45-0.06
3.4000e+09219877219620-257.48-0.10
3.5000e+09227337226984-352.79-0.13
3.6000e+09234776234374-402.15-0.15
3.7000e+09242263241788-475.29-0.17
3.8000e+09249800249225-574.87-0.21
3.9000e+09257221256685-535.56-0.19
4.0000e+09264879264168-710.95-0.25
4.1000e+09272330271672-657.62-0.23
4.2000e+09279978279198-780.13-0.27
4.3000e+09287582286744-838.01-0.28
4.4000e+09295112294310-801.75-0.27
4.5000e+09302707301896-810.83-0.27
4.6000e+09310325309501-823.71-0.27
4.7000e+09317979317125-853.81-0.28
4.8000e+09325594324767-826.56-0.27
4.9000e+09333299332428-871.36-0.28
5.0000e+09340925340105-819.59-0.26
5.2000e+09356343355512-830.78-0.26
5.4000e+09371812370985-826.90-0.25
5.6000e+09387538386521-1016.51-0.30
5.8000e+09403261402119-1141.98-0.34
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