Gap size : 34 (r=17)

Generated by program gapCounts : Mon Jun 27 12:41:08 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+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+03000.000.00
1.1000e+03000.000.00
1.2000e+03000.000.00
1.3000e+03000.000.00
1.4000e+0310-0.99-0.19
1.5000e+0310-0.99-0.19
1.6000e+0310-0.99-0.18
1.7000e+0310-0.99-0.18
1.8000e+0310-0.98-0.17
1.9000e+0310-0.98-0.17
2.0000e+0310-0.97-0.17
2.1000e+0310-0.97-0.16
2.2000e+0310-0.96-0.16
2.3000e+0310-0.96-0.15
2.4000e+0310-0.95-0.15
2.5000e+0310-0.95-0.15
2.6000e+0310-0.94-0.14
2.7000e+0310-0.93-0.14
2.8000e+0310-0.92-0.14
2.9000e+0310-0.92-0.14
3.0000e+0310-0.91-0.13
3.1000e+0310-0.90-0.13
3.2000e+0310-0.89-0.13
3.3000e+0310-0.88-0.12
3.4000e+0310-0.88-0.12
3.5000e+0310-0.87-0.12
3.6000e+0310-0.86-0.12
3.7000e+0310-0.85-0.11
3.8000e+0310-0.84-0.11
3.9000e+0310-0.83-0.11
4.0000e+0310-0.82-0.11
4.1000e+0310-0.80-0.10
4.2000e+0310-0.79-0.10
4.3000e+0310-0.78-0.10
4.4000e+0310-0.77-0.10
4.5000e+0310-0.76-0.10
4.6000e+0310-0.75-0.09
4.7000e+0310-0.73-0.09
4.8000e+0310-0.72-0.09
4.9000e+0310-0.71-0.09
5.0000e+0310-0.70-0.08
5.2000e+0310-0.67-0.08
5.4000e+0310-0.64-0.08
5.6000e+0310-0.61-0.07
5.8000e+0310-0.59-0.07
6.0000e+0310-0.56-0.06
6.2000e+0310-0.53-0.06
6.4000e+0311-0.50-0.05
6.6000e+0311-0.46-0.05
6.8000e+0311-0.43-0.05
7.0000e+0311-0.40-0.04
7.2000e+0311-0.36-0.04
7.4000e+0311-0.33-0.03
7.6000e+0311-0.30-0.03
7.8000e+0311-0.26-0.03
8.0000e+0311-0.22-0.02
8.2000e+0311-0.19-0.02
8.4000e+0311-0.15-0.01
8.6000e+0321-1.11-0.11
8.8000e+0321-1.07-0.10
9.0000e+0321-1.04-0.10
9.2000e+0321-1.00-0.09
9.4000e+0321-0.96-0.09
9.6000e+0321-0.92-0.09
9.8000e+0321-0.88-0.08
1.0000e+0421-0.83-0.08
1.0500e+0431-1.73-0.16
1.1000e+0431-1.62-0.14
1.1500e+0431-1.51-0.13
1.2000e+0442-2.40-0.21
1.2500e+0452-3.28-0.28
1.3000e+0452-3.17-0.26
1.3500e+0452-3.05-0.25
1.4000e+0452-2.93-0.24
1.4500e+0452-2.80-0.22
1.5000e+0452-2.68-0.21
1.5500e+0452-2.55-0.20
1.6000e+0453-2.42-0.19
1.6500e+0453-2.29-0.17
1.7000e+0453-2.15-0.16
1.7500e+0463-3.02-0.22
1.8000e+0463-2.88-0.21
1.8500e+0463-2.75-0.20
1.9000e+0463-2.61-0.19
1.9500e+0474-3.46-0.25
2.0000e+0474-3.32-0.23
2.1000e+0484-4.03-0.28
2.2000e+0494-4.74-0.32
2.3000e+0495-4.44-0.29
2.4000e+0495-4.14-0.27
2.5000e+0495-3.83-0.25
2.6000e+0495-3.51-0.22
2.7000e+0496-3.19-0.20
2.8000e+0496-2.87-0.18
2.9000e+0496-2.55-0.15
3.0000e+04107-3.22-0.19
3.1000e+04107-2.88-0.17
3.2000e+04107-2.55-0.15
3.3000e+04118-3.21-0.18
3.4000e+04118-2.86-0.16
3.5000e+04128-3.52-0.20
3.6000e+04129-3.17-0.18
3.7000e+04129-2.81-0.15
3.8000e+041310-3.46-0.19
3.9000e+041310-3.10-0.17
4.0000e+041310-2.74-0.15
4.1000e+041311-2.37-0.12
4.2000e+041411-3.01-0.16
4.3000e+041411-2.64-0.14
4.4000e+041412-2.27-0.12
4.5000e+041412-1.89-0.10
4.6000e+041412-1.52-0.08
4.7000e+041413-1.14-0.06
4.8000e+041513-1.76-0.09
4.9000e+041514-1.38-0.07
5.0000e+041614-1.99-0.10
5.2000e+041615-1.21-0.06
5.4000e+041616-0.43-0.02
5.6000e+041716-0.64-0.03
5.8000e+0417170.160.01
6.0000e+041818-0.04-0.00
6.2000e+042019-1.22-0.05
6.4000e+042020-0.40-0.02
6.6000e+042120-0.58-0.03
6.8000e+0421210.250.01
7.0000e+0421221.090.05
7.2000e+0421231.930.08
7.4000e+0422241.780.07
7.6000e+0423251.630.07
7.8000e+0424251.490.06
8.0000e+0425261.350.05
8.2000e+0426271.220.05
8.4000e+0426282.090.08
8.6000e+0427291.970.08
8.8000e+0427302.850.11
9.0000e+0430310.740.03
9.2000e+0431320.620.02
9.4000e+0432330.520.02
9.6000e+0432331.420.05
9.8000e+0433341.320.05
1.0000e+0533352.220.08
1.0500e+0536381.500.05
1.1000e+054340-3.20-0.11
1.1500e+054642-3.88-0.13
1.2000e+054844-3.54-0.12
1.2500e+054847-1.18-0.04
1.3000e+055149-1.80-0.06
1.3500e+055452-2.41-0.08
1.4000e+056054-6.00-0.19
1.4500e+056356-6.57-0.21
1.5000e+056559-6.13-0.19
1.5500e+056961-7.68-0.23
1.6000e+056964-5.21-0.16
1.6500e+057466-7.73-0.23
1.7000e+057569-6.24-0.18
1.7500e+057671-4.74-0.14
1.8000e+057974-5.22-0.15
1.8500e+058376-6.69-0.19
1.9000e+058679-7.15-0.20
1.9500e+058781-5.60-0.15
2.0000e+059084-6.05-0.17
2.1000e+059889-8.90-0.24
2.2000e+0510094-5.71-0.15
2.3000e+05106100-6.49-0.17
2.4000e+05109105-4.24-0.11
2.5000e+05113110-2.95-0.07
2.6000e+05116115-0.64-0.02
2.7000e+05127121-6.29-0.15
2.8000e+05136126-9.92-0.24
2.9000e+05145131-13.52-0.32
3.0000e+05149137-12.10-0.28
3.1000e+05154142-11.65-0.26
3.2000e+05161148-13.18-0.30
3.3000e+05166153-12.69-0.28
3.4000e+05174159-15.18-0.33
3.5000e+05178164-13.64-0.29
3.6000e+05184170-14.09-0.30
3.7000e+05187175-11.51-0.24
3.8000e+05194181-12.92-0.27
3.9000e+05197187-10.31-0.21
4.0000e+05205192-12.69-0.26
4.1000e+05213198-15.04-0.30
4.2000e+05217204-13.38-0.27
4.3000e+05221209-11.71-0.23
4.4000e+05229215-14.02-0.27
4.5000e+05237221-16.31-0.32
4.6000e+05243226-16.59-0.32
4.7000e+05252232-19.86-0.38
4.8000e+05257238-19.11-0.36
4.9000e+05262244-18.35-0.34
5.0000e+05267249-17.58-0.33
5.2000e+05277261-15.99-0.29
5.4000e+05286273-13.36-0.24
5.6000e+05295284-10.68-0.19
5.8000e+05299296-2.96-0.05
6.0000e+053073080.800.01
6.2000e+05324320-4.40-0.07
6.4000e+05338331-6.55-0.11
6.6000e+05352343-8.68-0.14
6.8000e+05358355-2.76-0.05
7.0000e+05368367-0.82-0.01
7.2000e+05380379-0.84-0.01
7.4000e+05397391-5.82-0.09
7.6000e+05411403-7.78-0.12
7.8000e+05420415-4.71-0.07
8.0000e+05433427-5.61-0.09
8.2000e+05446440-6.48-0.10
8.4000e+05463452-11.33-0.17
8.6000e+05473464-9.15-0.13
8.8000e+05478476-1.94-0.03
9.0000e+05500488-11.71-0.17
9.2000e+05515501-14.46-0.21
9.4000e+05525513-12.18-0.17
9.6000e+05534525-8.89-0.12
9.8000e+05549537-11.57-0.16
1.0000e+06557550-7.22-0.10
1.0500e+06587581-6.28-0.09
1.1000e+06621612-9.22-0.12
1.1500e+06651643-8.04-0.10
1.2000e+06690674-15.76-0.20
1.2500e+06717706-11.38-0.14
1.3000e+06756737-18.90-0.23
1.3500e+06791769-22.33-0.27
1.4000e+06823800-22.67-0.27
1.4500e+06853832-20.93-0.25
1.5000e+06887864-23.11-0.27
1.5500e+06913896-17.21-0.20
1.6000e+06947928-19.25-0.22
1.6500e+06979960-19.21-0.21
1.7000e+061013992-21.11-0.23
1.7500e+0610391024-14.94-0.16
1.8000e+0610751056-18.72-0.20
1.8500e+0611121089-23.43-0.25
1.9000e+0611511121-30.09-0.32
1.9500e+0611821153-28.69-0.30
2.0000e+0612201186-34.24-0.35
2.1000e+0612831251-32.18-0.32
2.2000e+0613641316-47.94-0.47
2.3000e+0614421381-60.51-0.58
2.4000e+0615041447-56.92-0.54
2.5000e+0615701513-57.16-0.53
2.6000e+0616261579-47.26-0.43
2.7000e+0616991645-54.21-0.49
2.8000e+0617771711-66.02-0.59
2.9000e+0618251777-47.71-0.42
3.0000e+0618871844-43.27-0.37
3.1000e+0619721910-61.71-0.52
3.2000e+0620421977-65.04-0.54
3.3000e+0621062044-62.26-0.51
3.4000e+0621822111-71.38-0.58
3.5000e+0622352178-57.40-0.46
3.6000e+0622962245-51.33-0.41
3.7000e+0623722312-60.16-0.47
3.8000e+0624492379-69.91-0.54
3.9000e+0625152446-68.57-0.53
4.0000e+0625742514-60.14-0.46
4.1000e+0626452581-63.64-0.48
4.2000e+0627102649-61.07-0.45
4.3000e+0627892717-72.42-0.53
4.4000e+0628582784-73.69-0.54
4.5000e+0629102852-57.90-0.42
4.6000e+0629672920-47.04-0.34
4.7000e+0630422988-54.12-0.38
4.8000e+0631103056-54.14-0.38
4.9000e+0631783124-54.09-0.38
5.0000e+0632573192-64.98-0.45
5.2000e+0633843328-55.60-0.38
5.4000e+0635153465-49.99-0.33
5.6000e+0636553602-53.18-0.35
5.8000e+0637873739-48.18-0.31
6.0000e+0639303876-53.98-0.34
6.2000e+0640874013-73.61-0.46
6.4000e+0642234151-72.07-0.45
6.6000e+0643744289-85.37-0.52
6.8000e+0645104426-83.51-0.50
7.0000e+0646514564-86.50-0.52
7.2000e+0647684703-65.35-0.38
7.4000e+0648814841-40.07-0.23
7.6000e+0650074979-27.65-0.16
7.8000e+0651575118-39.11-0.22
8.0000e+0653075257-50.44-0.28
8.2000e+0654735395-77.66-0.43
8.4000e+0656095534-74.77-0.41
8.6000e+0657595673-85.76-0.47
8.8000e+0658795812-66.65-0.36
9.0000e+0660115952-59.44-0.32
9.2000e+0661486091-57.13-0.30
9.4000e+0662956230-64.73-0.34
9.6000e+0664386370-68.23-0.35
9.8000e+0665876509-77.64-0.40
1.0000e+0767216649-71.97-0.37
1.0500e+0770666999-67.43-0.34
1.1000e+0774187349-69.39-0.34
1.1500e+0777647699-64.91-0.31
1.2000e+0780888050-37.99-0.18
1.2500e+0784068401-4.68-0.02
1.3000e+078740875313.010.06
1.3500e+0791169105-10.95-0.05
1.4000e+0794739457-15.58-0.07
1.4500e+0798399810-28.89-0.13
1.5000e+071018610163-22.91-0.10
1.5500e+071054410516-27.64-0.12
1.6000e+071092710870-57.11-0.24
1.6500e+071128911224-65.31-0.27
1.7000e+071163411578-56.28-0.23
1.7500e+071198411932-52.02-0.21
1.8000e+071234112286-54.53-0.21
1.8500e+071268212641-40.83-0.16
1.9000e+071301812996-21.93-0.08
1.9500e+071335413351-2.84-0.01
2.0000e+071372513706-18.56-0.07
2.1000e+071443414418-16.48-0.06
2.2000e+07151091512920.270.07
2.3000e+07158121584229.620.10
2.4000e+07165221655532.540.11
2.5000e+07172451726822.990.08
2.6000e+07179411798240.920.14
2.7000e+07186731869623.320.08
2.8000e+07193721941139.150.13
2.9000e+07200762012650.380.16
3.0000e+07208152084226.990.08
3.1000e+07215312155826.960.08
3.2000e+07222282227446.270.14
3.3000e+07229412299149.900.15
3.4000e+07236332370874.830.22
3.5000e+07243362442589.050.26
3.6000e+07250622514380.540.23
3.7000e+07257912586069.290.20
3.8000e+07265022657876.280.22
3.9000e+07272232729773.510.21
4.0000e+07279552801559.950.17
4.1000e+07286572873476.610.21
4.2000e+07294122945240.470.11
4.3000e+07301613017210.530.03
4.4000e+073091130891-20.24-0.05
4.5000e+073162831610-17.82-0.05
4.6000e+0732328323301.760.00
4.7000e+073305933049-9.50-0.02
4.8000e+0733762337697.390.02
4.9000e+07344563448933.440.08
5.0000e+07351683521041.620.10
5.2000e+07366343665016.390.04
5.4000e+0738090380921.660.00
5.6000e+073954039533-6.60-0.02
5.8000e+0740972409763.560.01
6.0000e+074242142418-2.89-0.01
6.2000e+07438354386126.030.06
6.4000e+074533045304-25.71-0.06
6.6000e+074678746748-39.14-0.09
6.8000e+074821248192-20.27-0.04
7.0000e+074964849636-12.13-0.03
7.2000e+07509945108086.260.18
7.4000e+07524655252559.890.13
7.6000e+07539055397064.730.13
7.8000e+075530655415108.780.22
8.0000e+07567705686090.020.18
8.2000e+075820558305100.440.20
8.4000e+07596615975190.020.18
8.6000e+07611446119752.750.10
8.8000e+07625856264357.630.11
9.0000e+07640186408970.640.14
9.2000e+07654646553570.780.14
9.4000e+076687966981102.030.19
9.6000e+07683756842752.380.10
9.8000e+076977369874100.840.19
1.0000e+08712487132072.390.13
1.0500e+08748757493762.110.11
1.1000e+08784827855472.270.13
1.1500e+088201482172157.790.27
1.2000e+088561685790173.580.29
1.2500e+088924489408163.590.27
1.3000e+089290193026124.750.20
1.3500e+089654096644104.020.17
1.4000e+0810020510026257.360.09
1.4500e+0810385210388128.720.04
1.5000e+08107510107499-10.93-0.02
1.5500e+08111128111117-10.62-0.02
1.6000e+08114801114736-65.39-0.10
1.6500e+08118495118354-141.24-0.21
1.7000e+08122182121972-210.22-0.31
1.7500e+08125867125590-277.33-0.40
1.8000e+08129463129207-255.60-0.36
1.8500e+08133005132825-180.04-0.25
1.9000e+08136621136442-178.67-0.25
1.9500e+08140242140060-182.50-0.25
2.0000e+08143941143676-264.54-0.36
2.1000e+08151198150910-288.31-0.38
2.2000e+08158375158142-233.06-0.30
2.3000e+08165583165373-209.84-0.27
2.4000e+08172904172603-300.71-0.37
2.5000e+08180085179832-252.71-0.31
2.6000e+08187379187060-318.88-0.38
2.7000e+08194779194287-492.24-0.58
2.8000e+08201927201512-414.82-0.48
2.9000e+08209159208736-422.63-0.48
3.0000e+08216393215959-433.70-0.49
3.1000e+08223579223181-398.03-0.44
3.2000e+08230866230401-464.63-0.51
3.3000e+08238134237621-513.50-0.55
3.4000e+08245323244838-484.65-0.52
3.5000e+08252467252055-412.09-0.43
3.6000e+08259678259270-407.80-0.42
3.7000e+08266830266484-345.80-0.35
3.8000e+08274201273697-504.08-0.51
3.9000e+08281353280908-444.63-0.45
4.0000e+08288581288119-462.46-0.46
4.1000e+08295770295327-442.55-0.43
4.2000e+08303125302535-589.91-0.57
4.3000e+08310314309741-572.53-0.55
4.4000e+08317580316947-633.39-0.60
4.5000e+08324718324150-567.51-0.53
4.6000e+08331962331353-608.86-0.57
4.7000e+08339076338555-521.44-0.48
4.8000e+08346193345755-438.24-0.40
4.9000e+08353382352954-428.26-0.39
5.0000e+08360687360152-535.49-0.48
5.2000e+08375128374543-584.55-0.51
5.4000e+08389674388931-743.34-0.64
5.6000e+08404070403313-756.81-0.64
5.8000e+08418765417691-1073.90-0.90
6.0000e+08433105432064-1040.53-0.86
6.2000e+08447545446433-1111.64-0.90
6.4000e+08461914460798-1116.18-0.89
6.6000e+08476406475158-1248.07-0.99
6.8000e+08490610489514-1096.26-0.85
7.0000e+08504882503865-1016.69-0.78
7.2000e+08519239518213-1026.29-0.78
7.4000e+08533484532556-928.00-0.70
7.6000e+08547866546895-970.78-0.72
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