Gap size : 92 (r=46)

Generated by program gapCounts : Mon Jun 27 12:44:43 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+030-0-0.00-0.00
1.7000e+030-0-0.00-0.00
1.8000e+030-0-0.00-0.00
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+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+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+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+030-0-0.00-0.00
4.9000e+030-0-0.00-0.00
5.0000e+030-0-0.00-0.00
5.2000e+030-0-0.00-0.00
5.4000e+030-0-0.00-0.00
5.6000e+030-0-0.00-0.00
5.8000e+030-0-0.00-0.00
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+04000.000.00
3.8000e+04000.000.00
3.9000e+04000.000.00
4.0000e+04000.000.00
4.1000e+04000.000.00
4.2000e+04000.000.00
4.3000e+04000.000.00
4.4000e+04000.000.00
4.5000e+04000.000.00
4.6000e+04000.000.00
4.7000e+04000.000.00
4.8000e+04000.000.00
4.9000e+04000.000.00
5.0000e+04000.000.00
5.2000e+04000.000.00
5.4000e+04000.000.00
5.6000e+04000.000.00
5.8000e+04000.000.00
6.0000e+04000.000.00
6.2000e+04000.000.00
6.4000e+04000.000.00
6.6000e+04000.000.00
6.8000e+04000.000.00
7.0000e+04000.000.00
7.2000e+04000.000.00
7.4000e+04000.000.00
7.6000e+04000.000.00
7.8000e+04000.000.00
8.0000e+04000.000.00
8.2000e+04000.000.00
8.4000e+04000.010.00
8.6000e+04000.010.00
8.8000e+04000.010.00
9.0000e+04000.010.00
9.2000e+04000.010.00
9.4000e+04000.010.00
9.6000e+04000.010.00
9.8000e+04000.010.00
1.0000e+05000.010.00
1.0500e+05000.010.00
1.1000e+05000.010.00
1.1500e+05000.010.00
1.2000e+05000.010.00
1.2500e+05000.010.00
1.3000e+05000.020.00
1.3500e+05000.020.00
1.4000e+05000.020.00
1.4500e+05000.020.00
1.5000e+05000.020.00
1.5500e+05000.020.00
1.6000e+05000.030.00
1.6500e+05000.030.00
1.7000e+05000.030.00
1.7500e+05000.030.00
1.8000e+05000.030.00
1.8500e+05000.040.00
1.9000e+05000.040.00
1.9500e+05000.040.00
2.0000e+05000.040.00
2.1000e+05000.050.00
2.2000e+05000.050.00
2.3000e+05000.060.00
2.4000e+05000.060.00
2.5000e+05000.070.00
2.6000e+05000.070.00
2.7000e+05000.080.00
2.8000e+05000.090.00
2.9000e+05000.090.00
3.0000e+05000.100.00
3.1000e+05000.110.00
3.2000e+05000.120.00
3.3000e+05000.120.00
3.4000e+05000.130.00
3.5000e+05000.140.00
3.6000e+05000.150.00
3.7000e+05000.160.00
3.8000e+05000.160.00
3.9000e+05000.170.00
4.0000e+05000.180.00
4.1000e+05000.190.00
4.2000e+05000.200.00
4.3000e+05000.210.00
4.4000e+05000.220.00
4.5000e+05000.230.00
4.6000e+05000.240.00
4.7000e+05000.250.00
4.8000e+05000.260.00
4.9000e+05000.270.01
5.0000e+05000.280.01
5.2000e+05000.310.01
5.4000e+05000.330.01
5.6000e+05000.350.01
5.8000e+05000.380.01
6.0000e+05000.400.01
6.2000e+05000.430.01
6.4000e+05000.460.01
6.6000e+05000.480.01
6.8000e+05010.510.01
7.0000e+05010.540.01
7.2000e+05010.570.01
7.4000e+05010.600.01
7.6000e+05010.630.01
7.8000e+05010.660.01
8.0000e+05010.690.01
8.2000e+05010.730.01
8.4000e+05010.760.01
8.6000e+05010.790.01
8.8000e+05010.830.01
9.0000e+05010.860.01
9.2000e+05010.900.01
9.4000e+0511-0.07-0.00
9.6000e+0511-0.03-0.00
9.8000e+05110.000.00
1.0000e+06110.040.00
1.0500e+06110.140.00
1.1000e+06110.230.00
1.1500e+06110.340.00
1.2000e+06110.440.01
1.2500e+06120.550.01
1.3000e+0622-0.34-0.00
1.3500e+0632-1.23-0.01
1.4000e+0632-1.12-0.01
1.4500e+0642-2.00-0.02
1.5000e+0642-1.88-0.02
1.5500e+0642-1.75-0.02
1.6000e+0642-1.63-0.02
1.6500e+0643-1.50-0.02
1.7000e+0643-1.37-0.02
1.7500e+0643-1.24-0.01
1.8000e+0643-1.10-0.01
1.8500e+0643-0.96-0.01
1.9000e+0643-0.82-0.01
1.9500e+0643-0.68-0.01
2.0000e+0643-0.54-0.01
2.1000e+0644-0.24-0.00
2.2000e+0654-0.94-0.01
2.3000e+0654-0.63-0.01
2.4000e+0655-0.31-0.00
2.5000e+06550.020.00
2.6000e+06550.350.00
2.7000e+06560.690.01
2.8000e+06561.040.01
2.9000e+06561.390.01
3.0000e+06571.760.02
3.1000e+06572.120.02
3.2000e+06770.500.00
3.3000e+06780.880.01
3.4000e+06781.260.01
3.5000e+06890.660.01
3.6000e+06891.050.01
3.7000e+06109-0.54-0.00
3.8000e+061110-1.13-0.01
3.9000e+061110-0.72-0.01
4.0000e+061111-0.30-0.00
4.1000e+0611110.130.00
4.2000e+0611120.560.00
4.3000e+0611121.000.01
4.4000e+0611121.440.01
4.5000e+0611131.880.01
4.6000e+0611132.340.02
4.7000e+0611142.790.02
4.8000e+0611143.250.02
4.9000e+0611153.720.03
5.0000e+0611154.190.03
5.2000e+0613163.140.02
5.4000e+0613174.110.03
5.6000e+0614184.100.03
5.8000e+0615194.100.03
6.0000e+0615205.130.03
6.2000e+0615216.160.04
6.4000e+0616226.210.04
6.6000e+0617236.280.04
6.8000e+0618246.360.04
7.0000e+0620255.460.03
7.2000e+0621275.570.03
7.4000e+0623284.700.03
7.6000e+0624294.830.03
7.8000e+0625304.990.03
8.0000e+0626315.150.03
8.2000e+0629323.330.02
8.4000e+0631342.520.01
8.6000e+0633351.720.01
8.8000e+0633362.930.02
9.0000e+0633374.160.02
9.2000e+0635383.400.02
9.4000e+0635404.640.02
9.6000e+0635415.910.03
9.8000e+0636426.180.03
1.0000e+0737436.460.03
1.0500e+0739477.710.04
1.1000e+0741509.030.04
1.1500e+07435310.410.05
1.2000e+07465710.850.05
1.2500e+0753607.340.03
1.3000e+07536410.900.05
1.3500e+0763684.500.02
1.4000e+0766715.160.02
1.4500e+0770754.880.02
1.5000e+0774794.640.02
1.5500e+0776826.450.03
1.6000e+0781865.310.02
1.6500e+0783907.210.03
1.7000e+0786948.160.03
1.7500e+0789989.150.04
1.8000e+079210210.190.04
1.8500e+07971069.270.04
1.9000e+071031107.390.03
1.9500e+071051159.540.04
2.0000e+071091199.740.04
2.1000e+071211276.250.02
2.2000e+0712513610.910.04
2.3000e+071361458.710.03
2.4000e+0714215411.650.04
2.5000e+071531639.720.03
2.6000e+071681723.920.01
2.7000e+071761815.240.02
2.8000e+07195191-4.32-0.01
2.9000e+07205200-4.77-0.02
3.0000e+07216210-6.10-0.02
3.1000e+07224220-4.32-0.01
3.2000e+07232230-2.43-0.01
3.3000e+07245240-5.44-0.02
3.4000e+07254250-4.35-0.01
3.5000e+07266260-6.16-0.02
3.6000e+07274270-3.88-0.01
3.7000e+072802810.500.00
3.8000e+07292291-1.03-0.00
3.9000e+073013020.530.00
4.0000e+073093123.180.01
4.1000e+073213231.920.01
4.2000e+073293344.730.01
4.3000e+07348345-3.37-0.01
4.4000e+07359356-3.39-0.01
4.5000e+07372367-5.33-0.01
4.6000e+07378378-0.19-0.00
4.7000e+073893890.020.00
4.8000e+07407400-6.69-0.02
4.9000e+07423412-11.33-0.03
5.0000e+07436423-12.90-0.03
5.2000e+07458446-11.82-0.03
5.4000e+07476470-6.47-0.02
5.6000e+07498493-4.86-0.01
5.8000e+07525517-7.99-0.02
6.0000e+07554541-12.87-0.03
6.2000e+07584565-18.51-0.04
6.4000e+07609590-18.91-0.04
6.6000e+07638615-23.09-0.05
6.8000e+07658640-18.05-0.04
7.0000e+07681665-15.79-0.03
7.2000e+07703691-12.32-0.03
7.4000e+07734716-17.64-0.04
7.6000e+07755742-12.76-0.03
7.8000e+077687680.310.00
8.0000e+07800795-5.43-0.01
8.2000e+07831821-9.98-0.02
8.4000e+07853848-5.35-0.01
8.6000e+07880874-5.53-0.01
8.8000e+07908901-6.55-0.01
9.0000e+07937929-8.39-0.02
9.2000e+07961956-5.06-0.01
9.4000e+071000983-16.57-0.03
9.6000e+0710221011-10.91-0.02
9.8000e+0710521039-13.10-0.02
1.0000e+0810831067-16.13-0.03
1.0500e+0811541137-16.54-0.03
1.1000e+0812261209-17.03-0.03
1.1500e+0812951281-13.65-0.02
1.2000e+0813711355-16.42-0.03
1.2500e+0814351429-6.38-0.01
1.3000e+0815121503-8.55-0.01
1.3500e+08157015799.030.01
1.4000e+08165116554.340.01
1.4500e+08173117321.360.00
1.5000e+08180618104.060.01
1.5500e+081877188811.430.02
1.6000e+08196019677.440.01
1.6500e+082032204715.070.02
1.7000e+08212421273.310.00
1.7500e+08219922089.150.01
1.8000e+082267229022.560.03
1.8500e+082352237219.530.03
1.9000e+082427245427.050.04
1.9500e+082503253734.100.05
2.0000e+082582262138.680.05
2.1000e+082761278928.350.04
2.2000e+082928296031.960.04
2.3000e+083119313213.440.02
2.4000e+083288330718.720.02
2.5000e+083469348313.720.02
2.6000e+083631366029.370.04
2.7000e+083816384023.630.03
2.8000e+083984402036.420.04
2.9000e+084145420357.710.07
3.0000e+084329438657.450.06
3.1000e+084517457254.580.06
3.2000e+084726475832.070.04
3.3000e+084915494630.870.03
3.4000e+085110513524.960.03
3.5000e+085296532529.290.03
3.6000e+085487551729.830.03
3.7000e+085667571042.550.04
3.8000e+085879590324.420.02
3.9000e+08609460984.410.00
4.0000e+086283629411.500.01
4.1000e+086459649232.650.03
4.2000e+086662669027.840.03
4.3000e+086863688926.060.02
4.4000e+087057708932.270.03
4.5000e+087236729054.460.05
4.6000e+087420749372.610.07
4.7000e+087626769669.690.06
4.8000e+087834790065.680.06
4.9000e+088023810581.580.07
5.0000e+088227831083.360.07
5.2000e+088627872497.490.09
5.4000e+089073914268.960.06
5.6000e+089475956387.640.07
5.8000e+089902998684.430.07
6.0000e+08103241041389.220.07
6.2000e+08107571084385.930.07
6.4000e+08111851127590.450.07
6.6000e+081160911711101.700.08
6.8000e+081204712149101.620.08
7.0000e+08124901258999.110.08
7.2000e+081293113032101.110.08
7.4000e+08133881347889.560.07
7.6000e+081382513925100.390.07
7.8000e+081426314376112.540.08
8.0000e+081469114828136.950.10
8.2000e+081515015283132.570.10
8.4000e+081559915739140.350.10
8.6000e+081602516198173.240.12
8.8000e+081647216659187.180.13
9.0000e+081694717122175.140.12
9.2000e+081740817587179.080.12
9.4000e+081786118054192.940.13
9.6000e+081834318523179.700.12
9.8000e+081882118993172.310.11
1.0000e+091928219466183.730.12
1.0500e+092047920655175.520.11
1.1000e+092173621854117.930.07
1.1500e+09229842306479.500.05
1.2000e+09242032428379.800.05
1.2500e+09254302551181.440.05
1.3000e+09266502674999.050.06
1.3500e+09279672799528.300.02
1.4000e+092914829250101.880.06
1.4500e+093037130513141.500.08
1.5000e+093161931783163.890.09
1.5500e+093293433061126.790.07
1.6000e+09342733434672.970.04
1.6500e+093552735638111.200.06
1.7000e+093676336937174.290.09
1.7500e+093808038243163.030.08
1.8000e+093938639555169.230.09
1.8500e+094073340874140.720.07
1.9000e+094202442198174.340.09
1.9500e+094340043529128.920.06
2.0000e+094472344865142.320.07
2.1000e+094741047555145.010.07
2.2000e+095004750266219.330.10
2.3000e+095273052998268.320.12
2.4000e+095543055750320.100.14
2.5000e+095818558521335.860.15
2.6000e+096101861310291.850.12
2.7000e+096367764116439.380.18
2.8000e+096663166940308.800.13
2.9000e+096942269780357.530.14
3.0000e+097225872635377.010.15
3.1000e+097516175506344.710.14
3.2000e+097800278391389.150.15
3.3000e+098089981291391.880.15
3.4000e+098384384204361.470.14
3.5000e+098683387132298.510.11
3.6000e+098977290072299.630.11
3.7000e+099274593024279.460.10
3.8000e+099555295990437.660.16
3.9000e+099856498967402.920.14
4.0000e+09101550101956405.910.14
4.1000e+09104663104956293.360.10
4.2000e+09107641107968326.980.11
4.3000e+09110660110991330.510.11
4.4000e+09113787114024236.700.08
4.5000e+09116795117067272.300.09
4.6000e+09119789120121332.090.11
4.7000e+09122845123185339.840.11
4.8000e+09125955126258303.350.10
4.9000e+09129047129341294.410.09
5.0000e+09132184132434249.830.08
5.2000e+09138249138646397.000.12
5.4000e+09144605144893288.450.09
5.6000e+09150853151175321.870.10
5.8000e+09157178157489311.070.09
6.0000e+09163501163835333.900.10
6.2000e+09169740170211471.310.13
6.4000e+09176195176617422.310.12
6.6000e+09182677183052374.990.10
6.8000e+09189117189514397.460.11
7.0000e+09195715196004288.910.08
7.2000e+09202239202520280.570.08
7.4000e+09208647209061413.710.11
7.6000e+09215081215627545.630.14
7.8000e+09221734222217482.680.12
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