Gap size : 102 (r=51)

Generated by program gapCounts : Mon Jun 27 12:44:57 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+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+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+030-0-0.00-0.00
6.2000e+030-0-0.00-0.00
6.4000e+030-0-0.00-0.00
6.6000e+030-0-0.00-0.00
6.8000e+030-0-0.00-0.00
7.0000e+030-0-0.00-0.00
7.2000e+030-0-0.00-0.00
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+04000.000.00
8.6000e+04000.000.00
8.8000e+04000.000.00
9.0000e+04000.000.00
9.2000e+04000.000.00
9.4000e+04000.000.00
9.6000e+04000.000.00
9.8000e+04000.000.00
1.0000e+05000.000.00
1.0500e+05000.000.00
1.1000e+05000.010.00
1.1500e+05000.010.00
1.2000e+05000.010.00
1.2500e+05000.010.00
1.3000e+05000.010.00
1.3500e+05000.010.00
1.4000e+05000.010.00
1.4500e+05000.010.00
1.5000e+05000.010.00
1.5500e+05000.010.00
1.6000e+05000.010.00
1.6500e+05000.010.00
1.7000e+05000.020.00
1.7500e+05000.020.00
1.8000e+05000.020.00
1.8500e+05000.020.00
1.9000e+05000.020.00
1.9500e+05000.020.00
2.0000e+05000.020.00
2.1000e+05000.030.00
2.2000e+05000.030.00
2.3000e+05000.030.00
2.4000e+05000.040.00
2.5000e+05000.040.00
2.6000e+05000.040.00
2.7000e+05000.050.00
2.8000e+05000.050.00
2.9000e+05000.060.00
3.0000e+05000.060.00
3.1000e+05000.070.00
3.2000e+05000.070.00
3.3000e+05000.080.00
3.4000e+05000.080.00
3.5000e+05000.090.00
3.6000e+05000.090.00
3.7000e+05000.100.00
3.8000e+05000.100.00
3.9000e+05000.110.00
4.0000e+05000.120.00
4.1000e+05000.120.00
4.2000e+05000.130.00
4.3000e+05000.140.00
4.4000e+05000.140.00
4.5000e+05000.150.00
4.6000e+05000.160.00
4.7000e+05000.170.00
4.8000e+05000.170.00
4.9000e+05000.180.00
5.0000e+05000.190.00
5.2000e+05000.200.00
5.4000e+05000.220.00
5.6000e+05000.240.00
5.8000e+05000.260.00
6.0000e+05000.270.00
6.2000e+05000.290.00
6.4000e+05000.310.01
6.6000e+05000.330.01
6.8000e+05000.350.01
7.0000e+05000.370.01
7.2000e+05000.400.01
7.4000e+05000.420.01
7.6000e+05000.440.01
7.8000e+05000.460.01
8.0000e+05000.490.01
8.2000e+05010.510.01
8.4000e+05010.540.01
8.6000e+05010.560.01
8.8000e+05010.590.01
9.0000e+05010.620.01
9.2000e+05010.640.01
9.4000e+05010.670.01
9.6000e+05010.700.01
9.8000e+05010.730.01
1.0000e+06010.750.01
1.0500e+06010.830.01
1.1000e+06010.900.01
1.1500e+06010.980.01
1.2000e+06011.070.01
1.2500e+06011.150.01
1.3000e+06011.240.02
1.3500e+06011.330.02
1.4000e+06011.420.02
1.4500e+06120.510.01
1.5000e+06120.610.01
1.5500e+06120.710.01
1.6000e+06120.810.01
1.6500e+06120.920.01
1.7000e+06121.020.01
1.7500e+06121.130.01
1.8000e+0632-0.76-0.01
1.8500e+0632-0.64-0.01
1.9000e+0632-0.53-0.01
1.9500e+0633-0.41-0.00
2.0000e+0633-0.29-0.00
2.1000e+0633-0.05-0.00
2.2000e+06330.210.00
2.3000e+0643-0.53-0.01
2.4000e+0654-1.27-0.01
2.5000e+0654-0.99-0.01
2.6000e+0654-0.71-0.01
2.7000e+0655-0.42-0.00
2.8000e+0655-0.12-0.00
2.9000e+06550.180.00
3.0000e+06550.490.00
3.1000e+06560.810.01
3.2000e+06561.130.01
3.3000e+06561.460.01
3.4000e+06670.800.01
3.5000e+06671.140.01
3.6000e+06671.480.01
3.7000e+06681.840.01
3.8000e+06682.200.02
3.9000e+06692.560.02
4.0000e+06692.930.02
4.1000e+06792.310.02
4.2000e+067102.690.02
4.3000e+067103.070.02
4.4000e+068102.460.02
4.5000e+069111.860.01
4.6000e+0611110.260.00
4.7000e+061212-0.33-0.00
4.8000e+0612120.080.00
4.9000e+0612120.490.00
5.0000e+0612130.910.01
5.2000e+0612141.770.01
5.4000e+0614150.640.00
5.6000e+0614161.540.01
5.8000e+0614162.450.02
6.0000e+0616171.370.01
6.2000e+0616182.320.01
6.4000e+0616193.280.02
6.6000e+0616204.250.03
6.8000e+0616215.240.03
7.0000e+0618224.250.03
7.2000e+0618235.270.03
7.4000e+0619245.310.03
7.6000e+0619256.360.04
7.8000e+0620266.420.04
8.0000e+0620287.500.04
8.2000e+0622296.600.04
8.4000e+0624305.700.03
8.6000e+0624316.820.04
8.8000e+0624327.950.04
9.0000e+0629334.100.02
9.2000e+0629345.260.03
9.4000e+0630355.430.03
9.6000e+0632374.610.02
9.8000e+0632385.810.03
1.0000e+0734395.020.03
1.0500e+0737425.080.03
1.1000e+0741454.220.02
1.1500e+0743485.430.03
1.2000e+0745526.710.03
1.2500e+0746559.050.04
1.3000e+0749589.450.04
1.3500e+0754627.910.04
1.4000e+0756659.430.04
1.4500e+0760699.010.04
1.5000e+07617311.650.05
1.5500e+07637613.340.06
1.6000e+07668014.080.06
1.6500e+07688415.880.06
1.7000e+07718816.730.07
1.7500e+07749217.620.07
1.8000e+07799616.570.07
1.8500e+078410015.560.06
1.9000e+078410419.600.08
1.9500e+078910818.690.07
2.0000e+079611215.820.06
2.1000e+0710012020.210.07
2.2000e+0710812920.770.07
2.3000e+0711313724.500.09
2.4000e+0711914627.380.09
2.5000e+0712615529.420.10
2.6000e+0713716527.610.09
2.7000e+0714617427.940.09
2.8000e+0715518328.410.09
2.9000e+0716619327.010.09
3.0000e+0717420328.750.09
3.1000e+0717921333.620.10
3.2000e+0718822334.610.11
3.3000e+0719823334.720.10
3.4000e+0720824334.960.10
3.5000e+0721825335.310.10
3.6000e+0722626437.770.11
3.7000e+0723327441.350.12
3.8000e+0724428541.030.12
3.9000e+0725329642.820.12
4.0000e+0726430742.720.12
4.1000e+0727531842.720.12
4.2000e+0728332945.810.12
4.3000e+0729934041.010.11
4.4000e+0730835143.300.11
4.5000e+0731836344.690.12
4.6000e+0732737447.170.12
4.7000e+0733738648.750.13
4.8000e+0734639751.410.13
4.9000e+0735840951.160.13
5.0000e+0736742154.000.14
5.2000e+0738544559.930.15
5.4000e+0741046959.190.14
5.6000e+0742649467.780.16
5.8000e+0745251966.670.16
6.0000e+0748954454.870.13
6.2000e+0751556954.360.12
6.4000e+0754059555.140.12
6.6000e+0757662145.200.10
6.8000e+0760664841.530.09
7.0000e+0764267432.120.07
7.2000e+0766570135.980.08
7.4000e+0768972839.080.08
7.6000e+0771375542.440.09
7.8000e+0774178342.040.09
8.0000e+0777181139.870.08
8.2000e+0780583933.930.07
8.4000e+0783186736.230.07
8.6000e+0785789638.740.08
8.8000e+0789092434.470.07
9.0000e+0792595328.420.05
9.2000e+0795498328.580.05
9.4000e+07972101239.940.08
9.6000e+071002104239.500.07
9.8000e+071027107144.270.08
1.0000e+081059110142.230.08
1.0500e+081145117731.960.06
1.1000e+081218125435.840.06
1.1500e+081290133241.830.07
1.2000e+081367141143.880.07
1.2500e+081448149142.960.07
1.3000e+081514157258.040.10
1.3500e+081578165476.070.12
1.4000e+081670173767.030.11
1.4500e+081756182164.890.10
1.5000e+081845190660.620.09
1.5500e+081936199155.210.08
1.6000e+082016207861.610.09
1.6500e+082101216563.820.09
1.7000e+082188225364.810.09
1.7500e+082292234249.550.07
1.8000e+082387243144.040.06
1.8500e+082473252148.260.07
1.9000e+082578261234.180.05
1.9500e+082655270448.790.07
2.0000e+082746279650.070.07
2.1000e+082957298325.600.03
2.2000e+083154317217.670.02
2.3000e+08336133632.160.00
2.4000e+083542355714.980.02
2.5000e+083735375318.050.02
2.6000e+083916395135.300.04
2.7000e+084120415231.630.04
2.8000e+084322435431.990.04
2.9000e+084511455847.320.05
3.0000e+08475947655.540.01
3.1000e+084962497310.610.01
3.2000e+0851905182-7.53-0.01
3.3000e+0854095394-14.93-0.02
3.4000e+0856285607-20.63-0.02
3.5000e+0858485822-25.69-0.03
3.6000e+0860536039-14.14-0.01
3.7000e+0862776257-20.02-0.02
3.8000e+0865036477-26.37-0.03
3.9000e+0867206698-22.23-0.02
4.0000e+0869686920-47.63-0.05
4.1000e+0872067144-61.61-0.06
4.2000e+0874197370-49.19-0.05
4.3000e+0876467597-49.41-0.05
4.4000e+0878797825-54.30-0.05
4.5000e+0881168054-61.87-0.06
4.6000e+0883738285-88.17-0.08
4.7000e+0885838517-66.21-0.06
4.8000e+0888258750-75.01-0.07
4.9000e+0890798984-94.61-0.09
5.0000e+0892769220-56.02-0.05
5.2000e+0897879695-92.37-0.08
5.4000e+081026610174-92.22-0.08
5.6000e+081076610657-108.73-0.09
5.8000e+081127811145-133.03-0.11
6.0000e+081180611637-169.26-0.14
6.2000e+081229112132-158.54-0.13
6.4000e+081277212632-140.00-0.11
6.6000e+081330813135-172.73-0.14
6.8000e+081384213642-199.84-0.16
7.0000e+081433014153-177.44-0.14
7.2000e+081488414666-217.61-0.17
7.4000e+081539715184-213.43-0.16
7.6000e+081594315704-239.00-0.18
7.8000e+081646616228-238.39-0.17
8.0000e+081698316754-228.68-0.17
8.2000e+081748217284-197.94-0.14
8.4000e+081803617817-219.23-0.16
8.6000e+081858318352-230.63-0.16
8.8000e+081912818891-237.19-0.16
9.0000e+081964319432-210.97-0.14
9.2000e+082018419976-208.04-0.14
9.4000e+082072720523-204.43-0.14
9.6000e+082127621072-204.22-0.14
9.8000e+082181221624-188.45-0.12
1.0000e+092239322178-215.16-0.14
1.0500e+092377823574-203.75-0.13
1.1000e+092518024985-194.60-0.12
1.1500e+092659626411-185.34-0.11
1.2000e+092810727849-257.54-0.16
1.2500e+092962929301-327.73-0.19
1.3000e+093110330766-337.38-0.20
1.3500e+093255932242-316.96-0.18
1.4000e+093412133730-390.88-0.22
1.4500e+093558835229-358.53-0.20
1.5000e+093713936740-399.28-0.22
1.5500e+093858638261-325.47-0.17
1.6000e+094005539792-263.41-0.14
1.6500e+094157441333-241.42-0.13
1.7000e+094309342883-209.76-0.11
1.7500e+094467644443-232.71-0.12
1.8000e+094623346012-220.53-0.11
1.8500e+094781747591-226.44-0.11
1.9000e+094944949177-271.69-0.13
1.9500e+095110550773-332.47-0.16
2.0000e+095275252376-376.01-0.18
2.1000e+095598555607-378.10-0.18
2.2000e+095928058869-411.40-0.19
2.3000e+096250162160-341.26-0.15
2.4000e+096576065479-280.87-0.12
2.5000e+096900268826-176.35-0.08
2.6000e+097235472198-155.75-0.07
2.7000e+097578175596-185.01-0.08
2.8000e+097903879018-20.02-0.01
2.9000e+098254382463-79.60-0.03
3.0000e+098601485931-82.53-0.03
3.1000e+098947789421-55.53-0.02
3.2000e+099295792933-24.27-0.01
3.3000e+099648196465-16.39-0.01
3.4000e+09100088100017-71.48-0.03
3.5000e+0910356410358823.900.01
3.6000e+09107272107178-93.80-0.03
3.7000e+09110847110787-60.07-0.02
3.8000e+09114463114414-49.40-0.02
3.9000e+09118189118058-131.22-0.05
4.0000e+09121777121719-57.99-0.02
4.1000e+09125445125397-48.09-0.02
4.2000e+09129116129091-24.93-0.01
4.3000e+09132858132801-56.88-0.02
4.4000e+0913651613652710.710.00
4.5000e+0914024014026727.500.01
4.6000e+0914392914402394.160.03
4.7000e+09147629147793164.380.05
4.8000e+0915156615157811.870.00
4.9000e+0915533515537641.330.01
5.0000e+0915914215918846.500.01
5.2000e+09166729166853123.890.04
5.4000e+09174660174569-90.95-0.03
5.6000e+09182598182335-262.88-0.08
5.8000e+09190246190149-96.62-0.03
6.0000e+0919797119801039.220.01
6.2000e+0920586320591653.140.02
6.4000e+0921378221386683.740.02
6.6000e+09221718221858139.670.04
6.8000e+09229773229891117.710.03
7.0000e+09237783237964180.680.05
7.2000e+09245803246075272.480.07
7.4000e+09253902254225323.040.09
7.6000e+09262110262411301.390.08
7.8000e+09270388270634245.590.06
8.0000e+09278691278891199.720.05
8.2000e+09286864287182317.960.08
8.4000e+09295209295506297.480.07
8.6000e+09303588303864275.520.07
8.8000e+09311943312252309.340.08
9.0000e+09320426320672246.230.06
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