Gap size : 54 (r=27)

Generated by program gapCounts : Mon Jun 27 12:43:51 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+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+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+03000.000.00
5.0000e+03000.000.00
5.2000e+03000.000.00
5.4000e+03000.010.00
5.6000e+03000.010.00
5.8000e+03000.010.00
6.0000e+03000.010.00
6.2000e+03000.010.00
6.4000e+03000.010.00
6.6000e+03000.010.00
6.8000e+03000.010.00
7.0000e+03000.010.00
7.2000e+03000.010.00
7.4000e+03000.020.00
7.6000e+03000.020.00
7.8000e+03000.020.00
8.0000e+03000.020.00
8.2000e+03000.020.00
8.4000e+03000.020.00
8.6000e+03000.020.00
8.8000e+03000.030.00
9.0000e+03000.030.00
9.2000e+03000.030.00
9.4000e+03000.030.00
9.6000e+03000.030.00
9.8000e+03000.040.00
1.0000e+04000.040.00
1.0500e+04000.040.00
1.1000e+04000.050.00
1.1500e+04000.060.00
1.2000e+04000.060.01
1.2500e+04000.070.01
1.3000e+04000.080.01
1.3500e+04000.080.01
1.4000e+04000.090.01
1.4500e+04000.100.01
1.5000e+04000.110.01
1.5500e+04000.120.01
1.6000e+04000.120.01
1.6500e+04000.130.01
1.7000e+04000.140.01
1.7500e+04000.150.01
1.8000e+04000.160.01
1.8500e+04000.170.01
1.9000e+04000.190.01
1.9500e+04000.200.01
2.0000e+04000.210.01
2.1000e+04000.230.02
2.2000e+04000.260.02
2.3000e+04000.280.02
2.4000e+04000.310.02
2.5000e+04000.340.02
2.6000e+04000.370.02
2.7000e+04000.400.02
2.8000e+04000.430.03
2.9000e+04000.460.03
3.0000e+04000.490.03
3.1000e+04010.530.03
3.2000e+04010.560.03
3.3000e+04010.600.03
3.4000e+04010.630.04
3.5000e+04010.670.04
3.6000e+0411-0.29-0.02
3.7000e+0411-0.25-0.01
3.8000e+0411-0.21-0.01
3.9000e+0411-0.17-0.01
4.0000e+0411-0.13-0.01
4.1000e+0431-2.09-0.11
4.2000e+0431-2.05-0.11
4.3000e+0431-2.00-0.10
4.4000e+0431-1.96-0.10
4.5000e+0431-1.91-0.10
4.6000e+0431-1.87-0.09
4.7000e+0431-1.82-0.09
4.8000e+0431-1.77-0.09
4.9000e+0431-1.73-0.08
5.0000e+0431-1.68-0.08
5.2000e+0431-1.58-0.08
5.4000e+0432-1.48-0.07
5.6000e+0432-1.37-0.06
5.8000e+0432-1.27-0.06
6.0000e+0432-1.16-0.05
6.2000e+0432-1.05-0.05
6.4000e+0432-0.93-0.04
6.6000e+0432-0.82-0.04
6.8000e+0432-0.70-0.03
7.0000e+0432-0.58-0.02
7.2000e+0433-0.46-0.02
7.4000e+0433-0.33-0.01
7.6000e+0433-0.21-0.01
7.8000e+0433-0.08-0.00
8.0000e+04330.050.00
8.2000e+04330.180.01
8.4000e+04330.320.01
8.6000e+04330.450.02
8.8000e+0444-0.41-0.02
9.0000e+0444-0.27-0.01
9.2000e+0444-0.13-0.00
9.4000e+04440.010.00
9.6000e+04440.150.01
9.8000e+04440.300.01
1.0000e+05440.450.02
1.0500e+0555-0.18-0.01
1.1000e+0575-1.79-0.06
1.1500e+0586-2.40-0.08
1.2000e+05106-4.00-0.13
1.2500e+05116-4.59-0.15
1.3000e+05127-5.17-0.17
1.3500e+05147-6.74-0.22
1.4000e+05148-6.31-0.20
1.4500e+05148-5.86-0.18
1.5000e+05149-5.42-0.17
1.5500e+05159-5.96-0.18
1.6000e+051610-6.50-0.19
1.6500e+051610-6.03-0.18
1.7000e+051710-6.55-0.19
1.7500e+051811-7.07-0.20
1.8000e+051811-6.58-0.19
1.8500e+051812-6.08-0.17
1.9000e+051812-5.58-0.16
1.9500e+051813-5.08-0.14
2.0000e+051813-4.57-0.12
2.1000e+051914-4.53-0.12
2.2000e+052016-4.46-0.12
2.3000e+052217-5.38-0.14
2.4000e+052318-5.28-0.13
2.5000e+052319-4.16-0.10
2.6000e+052520-5.03-0.12
2.7000e+052621-4.87-0.12
2.8000e+052722-4.70-0.11
2.9000e+053023-6.51-0.15
3.0000e+053225-7.31-0.17
3.1000e+053426-8.09-0.18
3.2000e+053627-8.86-0.20
3.3000e+053828-9.61-0.21
3.4000e+053830-8.35-0.18
3.5000e+053831-7.07-0.15
3.6000e+054332-10.78-0.23
3.7000e+054534-11.48-0.24
3.8000e+054635-11.17-0.23
3.9000e+054836-11.84-0.24
4.0000e+054937-11.50-0.23
4.1000e+054939-10.15-0.20
4.2000e+055140-10.79-0.22
4.3000e+055142-9.42-0.19
4.4000e+055343-10.04-0.20
4.5000e+055444-9.64-0.19
4.6000e+055446-8.24-0.16
4.7000e+055847-10.83-0.21
4.8000e+056049-11.40-0.22
4.9000e+056250-11.97-0.22
5.0000e+056251-10.52-0.20
5.2000e+056554-10.61-0.19
5.4000e+056657-8.65-0.16
5.6000e+057060-9.67-0.17
5.8000e+057463-10.64-0.19
6.0000e+057666-9.59-0.16
6.2000e+058169-11.50-0.19
6.4000e+058373-10.39-0.17
6.6000e+058576-9.24-0.15
6.8000e+058979-10.06-0.16
7.0000e+059182-8.86-0.14
7.2000e+059685-10.63-0.17
7.4000e+059689-7.37-0.12
7.6000e+0510092-8.09-0.13
7.8000e+0510495-8.78-0.13
8.0000e+0510799-8.45-0.13
8.2000e+05108102-6.09-0.09
8.4000e+05113105-7.71-0.11
8.6000e+05115109-6.30-0.09
8.8000e+05119112-6.88-0.10
9.0000e+05121116-5.43-0.08
9.2000e+05126119-6.96-0.10
9.4000e+05131123-8.47-0.12
9.6000e+05133126-6.96-0.10
9.8000e+05137130-7.43-0.10
1.0000e+06140133-6.88-0.10
1.0500e+06149142-6.92-0.09
1.1000e+06159151-7.85-0.10
1.1500e+06166160-5.67-0.07
1.2000e+06179170-9.39-0.12
1.2500e+06189179-10.00-0.13
1.3000e+06197188-8.52-0.11
1.3500e+06210198-11.94-0.15
1.4000e+06218208-10.28-0.12
1.4500e+06227217-9.53-0.11
1.5000e+06237227-9.70-0.11
1.5500e+06252237-14.79-0.17
1.6000e+06263247-15.80-0.18
1.6500e+06269257-11.74-0.13
1.7000e+06278267-10.60-0.12
1.7500e+06289278-11.39-0.12
1.8000e+06300288-12.12-0.13
1.8500e+06305298-6.78-0.07
1.9000e+06320309-11.37-0.12
1.9500e+06333319-13.91-0.14
2.0000e+06344330-14.38-0.15
2.1000e+06366351-15.14-0.15
2.2000e+06391372-18.68-0.18
2.3000e+06413394-19.00-0.18
2.4000e+06430416-14.12-0.13
2.5000e+06450438-12.04-0.11
2.6000e+06477460-16.77-0.15
2.7000e+06505483-22.32-0.20
2.8000e+06520505-14.69-0.13
2.9000e+06542528-13.90-0.12
3.0000e+06565551-13.94-0.12
3.1000e+06590574-15.83-0.13
3.2000e+06617597-19.57-0.16
3.3000e+06636621-15.16-0.13
3.4000e+06661644-16.61-0.14
3.5000e+06684668-15.92-0.13
3.6000e+06707692-15.10-0.12
3.7000e+06736716-20.16-0.16
3.8000e+06765740-25.08-0.19
3.9000e+06785764-20.88-0.16
4.0000e+06806788-17.57-0.13
4.1000e+06821813-8.14-0.06
4.2000e+06841837-3.60-0.03
4.3000e+06876862-13.94-0.10
4.4000e+06905887-18.18-0.13
4.5000e+06938912-26.32-0.19
4.6000e+06961937-24.35-0.17
4.7000e+06980962-18.29-0.13
4.8000e+061003987-16.12-0.11
4.9000e+0610271012-14.86-0.10
5.0000e+0610481037-10.51-0.07
5.2000e+0610961088-7.54-0.05
5.4000e+0611581140-18.21-0.12
5.6000e+0612081191-16.55-0.11
5.8000e+0612481243-4.57-0.03
6.0000e+0612991296-3.27-0.02
6.2000e+0613671348-18.68-0.12
6.4000e+0614141401-12.79-0.08
6.6000e+0614621454-7.63-0.05
6.8000e+0615181508-10.19-0.06
7.0000e+0615661562-4.49-0.03
7.2000e+0616351615-19.54-0.11
7.4000e+0616811670-11.34-0.07
7.6000e+0617511724-26.90-0.15
7.8000e+0618091779-30.22-0.17
8.0000e+0618591834-25.32-0.14
8.2000e+0619231889-34.20-0.19
8.4000e+0619791944-34.87-0.19
8.6000e+0620242000-24.32-0.13
8.8000e+0620872055-31.57-0.17
9.0000e+0621422111-30.63-0.16
9.2000e+0621882168-20.49-0.11
9.4000e+0622412224-17.16-0.09
9.6000e+0623022280-21.64-0.11
9.8000e+0623612337-23.94-0.12
1.0000e+0724032394-9.07-0.05
1.0500e+0725542537-17.14-0.09
1.1000e+0726932681-12.18-0.06
1.1500e+0728322826-6.24-0.03
1.2000e+0729792972-7.38-0.03
1.2500e+0731263118-7.62-0.04
1.3000e+0732893266-23.02-0.10
1.3500e+0734513414-36.60-0.16
1.4000e+0735783564-14.41-0.06
1.4500e+0737433714-29.46-0.13
1.5000e+0739153864-50.79-0.22
1.5500e+0740564016-40.43-0.17
1.6000e+0742154168-47.39-0.20
1.6500e+0743674320-46.71-0.19
1.7000e+0745094474-35.40-0.14
1.7500e+0746574628-29.49-0.12
1.8000e+0748184782-35.98-0.14
1.8500e+0749684937-30.91-0.12
1.9000e+0751315093-38.29-0.15
1.9500e+0752865249-37.13-0.14
2.0000e+0754275406-21.45-0.08
2.1000e+0757415720-20.58-0.08
2.2000e+076020603717.210.06
2.3000e+0763646356-8.17-0.03
2.4000e+0766976676-20.82-0.07
2.5000e+0769996998-0.81-0.00
2.6000e+077296732225.790.09
2.7000e+077624764722.900.08
2.8000e+077922797351.470.17
2.9000e+0782018301100.430.32
3.0000e+0785088631122.740.39
3.1000e+0788268961135.340.42
3.2000e+0791769293117.190.36
3.3000e+0795059626121.240.37
3.4000e+0798529960108.450.32
3.5000e+07102001029695.790.28
3.6000e+07105391063293.220.27
3.7000e+07108891097080.710.23
3.8000e+07112181130890.210.26
3.9000e+07115791164868.720.19
4.0000e+07119361198852.180.14
4.1000e+07122521233077.590.21
4.2000e+07125911267280.910.22
4.3000e+07129341301581.110.22
4.4000e+07132711335988.180.23
4.5000e+071360213704102.100.27
4.6000e+07139651405084.840.22
4.7000e+071429414396102.370.26
4.8000e+07146451474498.700.25
4.9000e+07150091509282.780.21
5.0000e+07153591544181.620.20
5.2000e+07160781614062.460.15
5.4000e+07168061684337.100.09
5.6000e+07175121754836.420.09
5.8000e+07182401825616.310.04
6.0000e+071897618967-9.33-0.02
6.2000e+07196611967918.420.04
6.4000e+072039620394-1.55-0.00
6.6000e+0721103211128.700.02
6.8000e+0721824218317.090.02
7.0000e+07225082255344.540.10
7.2000e+07232222327653.990.12
7.4000e+07239752400126.380.06
7.6000e+07246882472940.640.08
7.8000e+07254232545834.730.07
8.0000e+072620726189-18.42-0.04
8.2000e+0726919269212.160.00
8.4000e+07276162765539.400.08
8.6000e+07283752839116.270.03
8.8000e+07290992912929.720.06
9.0000e+0729860298687.720.01
9.2000e+073061930608-10.78-0.02
9.4000e+073136131350-10.82-0.02
9.6000e+07320773209416.580.03
9.8000e+073284732838-8.63-0.02
1.0000e+083359333585-8.47-0.02
1.0500e+083546435456-8.30-0.01
1.1000e+083737537335-40.25-0.07
1.1500e+083926539221-43.72-0.08
1.2000e+084114741115-32.08-0.05
1.2500e+084304343015-27.67-0.05
1.3000e+084495844922-35.79-0.06
1.3500e+084692646835-90.74-0.15
1.4000e+084883048754-75.76-0.12
1.4500e+085076150679-82.11-0.13
1.5000e+085270552609-96.00-0.15
1.5500e+085460454544-59.65-0.09
1.6000e+085657056485-85.25-0.13
1.6500e+085862458430-193.98-0.29
1.7000e+086055960380-179.00-0.26
1.7500e+086240562335-70.48-0.10
1.8000e+086439264293-98.57-0.14
1.8500e+086634166257-84.40-0.12
1.9000e+086832568224-101.11-0.14
1.9500e+087028670195-90.82-0.12
2.0000e+087226372170-92.66-0.13
2.1000e+087622076132-88.12-0.12
2.2000e+088016980108-61.33-0.08
2.3000e+088413284097-35.04-0.04
2.4000e+08880638809936.090.04
2.5000e+08920849211329.440.04
2.6000e+08960779613962.440.08
2.7000e+0810015010017726.580.03
2.8000e+08104227104224-2.62-0.00
2.9000e+0810823510828247.400.05
3.0000e+08112474112350-123.77-0.14
3.1000e+08116585116427-157.51-0.17
3.2000e+08120671120514-157.16-0.17
3.3000e+08124747124609-138.06-0.15
3.4000e+08128784128712-71.51-0.08
3.5000e+08132860132824-35.80-0.04
3.6000e+08137072136944-128.21-0.13
3.7000e+08141293141071-221.98-0.23
3.8000e+08145348145206-142.36-0.14
3.9000e+08149361149347-13.57-0.01
4.0000e+08153545153496-48.83-0.05
4.1000e+081576431576528.670.01
4.2000e+08161830161814-16.27-0.02
4.3000e+08165866165982116.160.11
4.4000e+08169938170157218.810.21
4.5000e+08174048174337289.490.27
4.6000e+08178243178524281.060.26
4.7000e+08182373182716343.360.32
4.8000e+08186681186914233.260.21
4.9000e+08190901191118216.620.20
5.0000e+08195088195326238.310.21
5.2000e+08203413203759346.170.30
5.4000e+08211960212212251.920.22
5.6000e+08220343220684340.690.29
5.8000e+08229042229174131.690.11
6.0000e+08237529237681152.200.13
6.2000e+0824613824620667.510.05
6.4000e+08254600254746146.010.12
6.6000e+08263149263302153.090.12
6.8000e+0827179127187382.210.06
7.0000e+08280611280459-152.16-0.12
7.2000e+08289224289059-165.49-0.13
7.4000e+08297818297672-146.26-0.11
7.6000e+08306370306298-71.88-0.05
7.8000e+08314989314937-51.77-0.04
8.0000e+08323644323589-55.31-0.04
8.2000e+08332432332252-179.86-0.13
8.4000e+08341127340927-199.76-0.14
8.6000e+08349687349614-73.35-0.05
8.8000e+08358366358311-54.93-0.04
9.0000e+08367083367019-63.80-0.04
9.2000e+08375856375738-118.24-0.08
9.4000e+08384735384466-268.51-0.18
9.6000e+08393397393205-191.87-0.13
9.8000e+08402076401953-122.56-0.08
1.0000e+09410754410711-42.82-0.03
1.0500e+09432740432645-94.64-0.06
1.1000e+0945460845463425.900.02
1.1500e+09476446476674227.880.14
1.2000e+09498511498763251.660.15
1.2500e+09520717520898180.840.11
1.3000e+09542722543077355.210.21
1.3500e+09564887565299411.770.24
1.4000e+09587122587561438.670.25
1.4500e+09609438609861423.190.23
1.5000e+09631913632199285.760.16
1.5500e+09654369654572202.910.11
1.6000e+09676745676979234.270.12
1.6500e+09699220699420199.570.10
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