Gap size : 56 (r=28)

Generated by program gapCounts : Mon Jun 27 12:43:54 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+030-0-0.00-0.00
2.0000e+030-0-0.00-0.00
2.1000e+030-0-0.00-0.00
2.2000e+030-0-0.00-0.00
2.3000e+030-0-0.00-0.00
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+03000.000.00
3.5000e+03000.000.00
3.6000e+03000.000.00
3.7000e+03000.000.00
3.8000e+03000.000.00
3.9000e+03000.000.00
4.0000e+03000.000.00
4.1000e+03000.000.00
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+03000.010.00
7.8000e+03000.010.00
8.0000e+03000.010.00
8.2000e+03000.010.00
8.4000e+03000.010.00
8.6000e+03000.010.00
8.8000e+03000.010.00
9.0000e+03000.010.00
9.2000e+03000.010.00
9.4000e+03000.010.00
9.6000e+03000.010.00
9.8000e+03000.010.00
1.0000e+04000.010.00
1.0500e+04000.010.00
1.1000e+04000.020.00
1.1500e+04000.020.00
1.2000e+04000.020.00
1.2500e+04000.020.00
1.3000e+04000.030.00
1.3500e+04000.030.00
1.4000e+04000.030.00
1.4500e+04000.030.00
1.5000e+04000.040.00
1.5500e+04000.040.00
1.6000e+04000.040.00
1.6500e+04000.050.00
1.7000e+04000.050.00
1.7500e+04000.050.00
1.8000e+04000.060.00
1.8500e+04000.060.00
1.9000e+04000.070.00
1.9500e+04000.070.00
2.0000e+04000.070.01
2.1000e+04000.080.01
2.2000e+04000.090.01
2.3000e+04000.100.01
2.4000e+04000.110.01
2.5000e+04000.120.01
2.6000e+04000.140.01
2.7000e+04000.150.01
2.8000e+04000.160.01
2.9000e+04000.170.01
3.0000e+04000.180.01
3.1000e+04000.200.01
3.2000e+04000.210.01
3.3000e+04000.230.01
3.4000e+04000.240.01
3.5000e+04000.260.01
3.6000e+04000.270.01
3.7000e+04000.290.02
3.8000e+04000.300.02
3.9000e+04000.320.02
4.0000e+04000.340.02
4.1000e+04000.350.02
4.2000e+04000.370.02
4.3000e+04000.390.02
4.4000e+04000.410.02
4.5000e+04000.420.02
4.6000e+04000.440.02
4.7000e+04000.460.02
4.8000e+04000.480.02
4.9000e+04010.500.02
5.0000e+04010.520.03
5.2000e+04010.560.03
5.4000e+04010.600.03
5.6000e+04010.650.03
5.8000e+04010.690.03
6.0000e+04010.730.03
6.2000e+04010.780.03
6.4000e+04010.830.04
6.6000e+04010.880.04
6.8000e+04010.930.04
7.0000e+04010.980.04
7.2000e+04011.030.04
7.4000e+04011.080.04
7.6000e+04011.130.05
7.8000e+04011.190.05
8.0000e+04011.240.05
8.2000e+04011.300.05
8.4000e+04110.350.01
8.6000e+04110.410.02
8.8000e+04110.470.02
9.0000e+04120.530.02
9.2000e+04120.590.02
9.4000e+04120.650.02
9.6000e+04120.710.03
9.8000e+04120.770.03
1.0000e+05120.830.03
1.0500e+05120.990.04
1.1000e+05121.160.04
1.1500e+05121.330.05
1.2000e+05131.500.05
1.2500e+05131.680.06
1.3000e+05131.860.06
1.3500e+05132.050.07
1.4000e+05132.230.07
1.4500e+05132.430.08
1.5000e+05142.620.08
1.5500e+05241.820.06
1.6000e+05242.020.06
1.6500e+05341.230.04
1.7000e+05341.440.04
1.7500e+05351.650.05
1.8000e+05450.870.02
1.8500e+05451.080.03
1.9000e+05451.300.04
1.9500e+05461.530.04
2.0000e+05461.750.05
2.1000e+05561.210.03
2.2000e+05670.680.02
2.3000e+05770.160.00
2.4000e+05780.650.02
2.5000e+05781.150.03
2.6000e+05791.660.04
2.7000e+05792.170.05
2.8000e+057102.700.06
2.9000e+058102.230.05
3.0000e+059111.770.04
3.1000e+059112.320.05
3.2000e+059122.870.06
3.3000e+059123.440.08
3.4000e+059134.010.09
3.5000e+059144.580.10
3.6000e+059145.160.11
3.7000e+0510154.750.10
3.8000e+0510155.350.11
3.9000e+0511164.950.10
4.0000e+0511175.550.11
4.1000e+0512175.170.10
4.2000e+0512185.790.12
4.3000e+0512186.410.13
4.4000e+0512197.040.14
4.5000e+0513206.670.13
4.6000e+0513207.310.14
4.7000e+0513217.960.15
4.8000e+0513228.610.16
4.9000e+0514228.270.15
5.0000e+0515237.930.15
5.2000e+0515249.260.17
5.4000e+0518267.610.14
5.6000e+0520276.980.12
5.8000e+0521287.370.13
6.0000e+0523306.770.12
6.2000e+0525316.200.10
6.4000e+0526336.630.11
6.6000e+0528346.080.10
6.8000e+0528367.550.12
7.0000e+0529378.030.13
7.2000e+0531397.520.12
7.4000e+0533407.030.11
7.6000e+0535426.550.10
7.8000e+0537436.080.09
8.0000e+0539455.630.09
8.2000e+0541465.190.08
8.4000e+0541486.760.10
8.6000e+0544495.340.08
8.8000e+0545515.930.09
9.0000e+0547535.540.08
9.2000e+0547547.150.10
9.4000e+0548567.780.11
9.6000e+0551576.420.09
9.8000e+0551598.060.11
1.0000e+0653617.720.11
1.0500e+0655659.910.13
1.1000e+0660699.150.12
1.1500e+0665738.450.11
1.2000e+0672785.810.07
1.2500e+0678824.210.05
1.3000e+0684872.670.03
1.3500e+0689912.180.03
1.4000e+0694961.730.02
1.4500e+06971003.320.04
1.5000e+061011053.960.05
1.5500e+061051104.640.05
1.6000e+061101144.360.05
1.6500e+061171192.120.02
1.7000e+06124124-0.08-0.00
1.7500e+06136129-7.25-0.08
1.8000e+06140134-6.38-0.07
1.8500e+06142139-3.47-0.04
1.9000e+061431430.470.00
1.9500e+06153148-4.56-0.05
2.0000e+06158153-4.56-0.05
2.1000e+06164164-0.46-0.00
2.2000e+061691744.760.05
2.3000e+061811843.090.03
2.4000e+061931951.540.01
2.5000e+062002055.080.05
2.6000e+062082167.730.07
2.7000e+062172269.470.09
2.8000e+0622723710.300.09
2.9000e+0623824810.230.09
3.0000e+062532596.240.05
3.1000e+062612709.330.08
3.2000e+0627028111.500.10
3.3000e+0628029312.750.11
3.4000e+0629030414.080.11
3.5000e+0629631519.470.16
3.6000e+0630532721.940.17
3.7000e+0631833820.480.16
3.8000e+0632835022.090.17
3.9000e+0634536216.760.13
4.0000e+0636137312.490.09
4.1000e+063813854.290.03
4.2000e+063963971.140.01
4.3000e+064084091.060.01
4.4000e+064204211.030.01
4.5000e+064264337.060.05
4.6000e+064384457.140.05
4.7000e+064484579.280.07
4.8000e+0645946910.470.07
4.9000e+0646648215.710.11
5.0000e+0648249412.000.08
5.2000e+0650751911.720.08
5.4000e+0652754416.640.11
5.6000e+0654656922.740.15
5.8000e+0656859426.010.17
6.0000e+0659061929.450.19
6.2000e+0660664539.050.25
6.4000e+0662867142.800.27
6.6000e+0666369733.710.21
6.8000e+0668372339.770.24
7.0000e+0670074948.970.29
7.2000e+0672877547.310.28
7.4000e+0675780244.780.26
7.6000e+0677382855.380.32
7.8000e+0679885557.110.32
8.0000e+0682088261.960.35
8.2000e+0684490964.930.36
8.4000e+0687393663.020.35
8.6000e+0690496359.220.32
8.8000e+0692699164.530.35
9.0000e+06941101876.950.41
9.2000e+06972104573.480.39
9.4000e+06991107382.110.43
9.6000e+061010110190.850.47
9.8000e+061037112991.680.47
1.0000e+071072115784.610.43
1.0500e+071137122789.840.45
1.1000e+071209129888.630.43
1.1500e+071299136969.960.34
1.2000e+071382144158.790.28
1.2500e+071449151364.120.30
1.3000e+071538158647.910.22
1.3500e+071608165951.150.23
1.4000e+071677173355.830.25
1.4500e+071737180769.910.30
1.5000e+071802188179.390.34
1.5500e+071862195694.260.40
1.6000e+0719272031104.500.43
1.6500e+0719892107118.090.48
1.7000e+0720732183110.040.44
1.7500e+0721582259101.310.40
1.8000e+0722332336102.920.41
1.8500e+0723022413110.840.43
1.9000e+0723692490121.060.47
1.9500e+0724362568131.590.50
2.0000e+0725122645133.400.50
2.1000e+0726992802102.870.38
2.2000e+0728542959105.400.38
2.3000e+0730153118102.950.36
2.4000e+073191327786.470.30
2.5000e+073352343885.910.29
2.6000e+073513359986.240.29
2.7000e+073682376179.420.26
2.8000e+073835392489.410.29
2.9000e+074017408871.180.23
3.0000e+074187425365.700.21
3.1000e+074359441858.960.18
3.2000e+074511458472.910.22
3.3000e+074683475167.530.20
3.4000e+074837491880.810.24
3.5000e+075017508668.730.20
3.6000e+075211525443.250.13
3.7000e+075368542355.370.16
3.8000e+075539559354.070.15
3.9000e+075720576343.330.12
4.0000e+075880593454.130.15
4.1000e+076057610548.460.13
4.2000e+076238627739.310.11
4.3000e+076412645037.660.10
4.4000e+076586662236.490.10
4.5000e+076764679631.810.08
4.6000e+076932697037.590.10
4.7000e+077109714434.820.09
4.8000e+077281731837.500.10
4.9000e+077439749454.610.14
5.0000e+077607766962.140.16
5.2000e+0779218021100.440.25
5.4000e+078288837587.330.21
5.6000e+078632873198.740.24
5.8000e+0789609088127.610.30
6.0000e+0793089446137.890.32
6.2000e+0796829806123.520.28
6.4000e+071004610166120.460.27
6.6000e+071039610529132.660.29
6.8000e+071074310892149.080.33
7.0000e+071110811257148.680.32
7.2000e+071145711622165.420.35
7.4000e+071182411989165.270.35
7.6000e+071216112357196.190.41
7.8000e+071254112726185.150.38
8.0000e+071285213096244.130.50
8.2000e+071321113467256.080.52
8.4000e+071361013839229.000.46
8.6000e+071397114212240.850.47
8.8000e+071435114586234.610.46
9.0000e+071471314960247.250.48
9.2000e+071509115336244.760.47
9.4000e+071547215712240.110.45
9.6000e+071584316089246.280.46
9.8000e+071621816467249.250.46
1.0000e+081659516846251.010.46
1.0500e+081752617796270.230.49
1.1000e+081854518751206.000.36
1.1500e+081949819710212.080.37
1.2000e+082044920673224.260.38
1.2500e+082142421640216.350.36
1.3000e+082241722611194.190.32
1.3500e+082338823586197.600.32
1.4000e+082440424563159.440.25
1.4500e+082539925545145.560.23
1.5000e+08264332652995.860.15
1.5500e+082740427516112.200.17
1.6000e+082837728506129.470.19
1.6500e+082936929500130.580.19
1.7000e+083035330495142.420.21
1.7500e+083133631494157.910.23
1.8000e+083235132495143.950.20
1.8500e+083336733498131.480.18
1.9000e+083440334504101.410.14
1.9500e+08354373551375.670.10
2.0000e+083641636523107.200.14
2.1000e+083839338551157.800.21
2.2000e+084046640587120.740.16
2.3000e+084251142631119.590.15
2.4000e+084457944682102.960.13
2.5000e+08466534674087.500.11
2.6000e+084869448806111.870.13
2.7000e+08508265087851.790.06
2.8000e+085301152956-55.02-0.06
2.9000e+08550155504025.190.03
3.0000e+08570875713043.170.05
3.1000e+085924459226-18.28-0.02
3.2000e+0861324613272.630.00
3.3000e+086345163433-18.30-0.02
3.4000e+0865534655449.760.01
3.5000e+086767967660-19.35-0.02
3.6000e+08697356978045.200.05
3.7000e+087179371905112.270.12
3.8000e+08739437403591.720.09
3.9000e+08760887616880.410.08
4.0000e+087816178306145.230.14
4.1000e+088033880448110.060.11
4.2000e+088248582594108.780.11
4.3000e+08846638474380.290.08
4.4000e+08868208689676.490.07
4.5000e+08889968905357.280.05
4.6000e+08911179121496.570.09
4.7000e+08933199337758.280.05
4.8000e+08954719554473.310.07
4.9000e+08976629771552.600.05
5.0000e+08998089988880.070.07
5.2000e+0810422010424424.240.02
5.4000e+08108674108612-61.73-0.05
5.6000e+08113142112992-150.32-0.13
5.8000e+08117507117382-125.02-0.10
6.0000e+08121874121783-91.24-0.08
6.2000e+08126394126194-200.39-0.16
6.4000e+08130757130614-142.85-0.11
6.6000e+08135127135044-82.96-0.07
6.8000e+08139581139483-98.04-0.08
7.0000e+08144003143931-72.41-0.06
7.2000e+08148492148387-105.34-0.08
7.4000e+08152959152851-108.11-0.08
7.6000e+08157344157323-20.97-0.02
7.8000e+08161821161803-18.16-0.01
8.0000e+08166301166290-10.91-0.01
8.2000e+0817076917078515.570.01
8.4000e+08175432175286-145.93-0.10
8.6000e+08179864179794-69.59-0.05
8.8000e+0818429918430910.400.01
9.0000e+08188841188831-10.14-0.01
9.2000e+081933491933599.630.01
9.4000e+08197911197893-18.45-0.01
9.6000e+0820235720243275.460.05
9.8000e+0820694820697830.240.02
1.0000e+0921146221153067.730.04
1.0500e+09222980222933-47.40-0.03
1.1000e+09234487234368-118.53-0.07
1.1500e+09246119245836-283.39-0.17
1.2000e+09257621257332-288.57-0.17
1.2500e+09269130268858-272.50-0.16
1.3000e+09280668280410-258.48-0.15
1.3500e+09292145291987-157.71-0.09
1.4000e+09303822303590-232.31-0.13
1.4500e+09315507315216-291.29-0.16
1.5000e+09327169326864-304.60-0.17
1.5500e+09338633338535-98.12-0.05
1.6000e+09350290350226-63.67-0.03
1.6500e+09361956361938-18.01-0.01
1.7000e+09373672373669-2.84-0.00
1.7500e+093854163854193.150.00
1.8000e+0939714639718741.340.02
1.8500e+09408873408973100.150.05
1.9000e+09420846420776-69.99-0.03
1.9500e+09432674432595-78.59-0.04
2.0000e+09444581444431-150.15-0.07
2.1000e+09468307468148-159.01-0.07
2.2000e+09492088491924-164.02-0.08
2.3000e+09515867515756-111.32-0.05
2.4000e+0953961153964029.270.01
2.5000e+0956352856357547.170.02
2.6000e+09587389587558169.020.07
2.7000e+09611294611587292.660.12
2.8000e+09635390635659269.110.11
2.9000e+09659335659774438.520.18
3.0000e+09683229683928699.190.28
3.1000e+09707375708122746.560.29
3.2000e+09731784732352568.160.22
3.3000e+09756129756619489.610.19
3.4000e+09780546780920373.630.14
3.5000e+09804828805254426.040.16
3.6000e+09829196829621424.700.16
3.7000e+09853702854019316.560.11
3.8000e+09878308878447138.630.05
3.9000e+09902521902904382.970.14
4.0000e+09926888927390501.690.18
4.1000e+09951180951903722.960.25
4.2000e+09975869976443573.970.20
4.3000e+0910004371001009571.990.19
4.4000e+0910249501025600650.290.22
4.5000e+0910496251050216591.190.20
4.6000e+0910741421074856714.050.23
4.7000e+0910988041099519715.250.23
4.8000e+0911233181124205887.200.29
4.9000e+0911481161148913797.340.25
5.0000e+0911728451173643798.130.25
5.2000e+0912226191223166546.650.17
5.4000e+0912723601272769408.900.12
5.6000e+0913221671322449282.330.08
5.8000e+0913717441372204459.680.14
6.0000e+0914219131422029115.920.03
6.2000e+091471835147192287.240.02
6.4000e+0915218951521881-13.97-0.00
6.6000e+0915724001571903-497.14-0.14
6.8000e+0916226871621985-701.55-0.19
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