Gap size : 28 (r=14)

Generated by program gapCounts : Mon Jun 27 12:36:59 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+020-0-0.00-0.00
2.0000e+020-0-0.00-0.00
3.0000e+020-0-0.01-0.00
4.0000e+020-0-0.01-0.00
5.0000e+020-0-0.01-0.00
6.0000e+020-0-0.01-0.00
7.0000e+020-0-0.00-0.00
8.0000e+02000.000.00
9.0000e+02000.010.00
1.0000e+03000.020.01
1.1000e+03000.040.01
1.2000e+03000.060.01
1.3000e+03000.070.01
1.4000e+03000.100.02
1.5000e+03000.120.02
1.6000e+03000.140.03
1.7000e+03000.170.03
1.8000e+03000.200.04
1.9000e+03000.230.04
2.0000e+03000.260.04
2.1000e+03000.290.05
2.2000e+03000.330.05
2.3000e+03000.360.06
2.4000e+03000.400.06
2.5000e+03000.440.07
2.6000e+03000.480.07
2.7000e+03010.520.08
2.8000e+03010.560.08
2.9000e+03010.600.09
3.0000e+0311-0.36-0.05
3.1000e+0311-0.31-0.05
3.2000e+0311-0.27-0.04
3.3000e+0321-1.22-0.17
3.4000e+0321-1.18-0.16
3.5000e+0321-1.13-0.16
3.6000e+0321-1.08-0.15
3.7000e+0321-1.03-0.14
3.8000e+0321-0.98-0.13
3.9000e+0321-0.93-0.12
4.0000e+0321-0.88-0.12
4.1000e+0321-0.82-0.11
4.2000e+0321-0.77-0.10
4.3000e+0321-0.72-0.09
4.4000e+0321-0.66-0.08
4.5000e+0321-0.61-0.08
4.6000e+0321-0.55-0.07
4.7000e+0322-0.50-0.06
4.8000e+0322-0.44-0.05
4.9000e+0322-0.38-0.05
5.0000e+0322-0.33-0.04
5.2000e+0332-1.21-0.14
5.4000e+0332-1.09-0.13
5.6000e+0332-0.97-0.11
5.8000e+0332-0.84-0.10
6.0000e+0342-1.72-0.19
6.2000e+0342-1.59-0.18
6.4000e+0343-1.46-0.16
6.6000e+0343-1.33-0.14
6.8000e+0343-1.20-0.13
7.0000e+0343-1.07-0.11
7.2000e+0343-0.93-0.10
7.4000e+0343-0.80-0.08
7.6000e+0343-0.66-0.07
7.8000e+0343-0.52-0.05
8.0000e+0344-0.38-0.04
8.2000e+0344-0.24-0.02
8.4000e+0344-0.09-0.01
8.6000e+03440.050.00
8.8000e+03440.200.02
9.0000e+0354-0.66-0.06
9.2000e+0354-0.51-0.05
9.4000e+0355-0.36-0.03
9.6000e+0355-0.21-0.02
9.8000e+0355-0.06-0.01
1.0000e+04550.090.01
1.0500e+0475-1.53-0.14
1.1000e+0496-3.14-0.28
1.1500e+0496-2.74-0.24
1.2000e+04107-3.34-0.29
1.2500e+04107-2.94-0.25
1.3000e+04107-2.53-0.21
1.3500e+04118-3.12-0.26
1.4000e+04118-2.70-0.22
1.4500e+04119-2.28-0.18
1.5000e+04139-3.86-0.30
1.5500e+041310-3.43-0.27
1.6000e+041310-3.00-0.23
1.6500e+041410-3.56-0.27
1.7000e+041511-4.12-0.31
1.7500e+041511-3.68-0.27
1.8000e+041512-3.24-0.24
1.8500e+041612-3.79-0.27
1.9000e+041713-4.34-0.31
1.9500e+041713-3.88-0.27
2.0000e+041714-3.43-0.24
2.1000e+041714-2.51-0.17
2.2000e+041915-3.58-0.24
2.3000e+041916-2.65-0.18
2.4000e+042117-3.70-0.24
2.5000e+042218-3.75-0.24
2.6000e+042219-2.79-0.18
2.7000e+042220-1.82-0.11
2.8000e+042421-2.84-0.17
2.9000e+042522-2.86-0.17
3.0000e+042623-2.87-0.17
3.1000e+042624-1.88-0.11
3.2000e+042625-0.88-0.05
3.3000e+042726-0.88-0.05
3.4000e+0427270.130.01
3.5000e+0428280.150.01
3.6000e+0428291.170.06
3.7000e+0428302.190.12
3.8000e+0429312.220.12
3.9000e+0430322.250.12
4.0000e+0432331.290.07
4.1000e+0432342.330.12
4.2000e+0432353.370.18
4.3000e+0432364.420.23
4.4000e+0432375.470.28
4.5000e+0435393.530.18
4.6000e+0435404.590.23
4.7000e+0436414.650.23
4.8000e+0438423.720.18
4.9000e+0438434.790.23
5.0000e+0439444.860.24
5.2000e+0441465.010.24
5.4000e+0445483.170.15
5.6000e+0447503.350.15
5.8000e+0451531.530.07
6.0000e+0452552.730.12
6.2000e+0453573.930.17
6.4000e+0456593.140.14
6.6000e+0460611.360.06
6.8000e+0463640.590.03
7.0000e+046666-0.17-0.01
7.2000e+0466682.070.09
7.4000e+0466704.330.18
7.6000e+0468734.580.19
7.8000e+0470754.850.20
8.0000e+0472775.120.20
8.2000e+0473796.400.25
8.4000e+0476825.680.22
8.6000e+0480843.970.15
8.8000e+0484862.260.09
9.0000e+0486892.570.10
9.2000e+0487913.870.15
9.4000e+0490933.180.12
9.6000e+0492953.500.13
9.8000e+0493984.820.18
1.0000e+05981002.140.08
1.0500e+051021063.970.14
1.1000e+051061125.830.20
1.1500e+051091188.710.30
1.2000e+051151248.620.29
1.2500e+051211308.550.28
1.3000e+051311354.500.15
1.3500e+051371414.460.14
1.4000e+051441473.450.11
1.4500e+051491534.450.14
1.5000e+051541595.470.17
1.5500e+051601665.510.17
1.6000e+051691722.560.08
1.6500e+051721785.620.17
1.7000e+051791844.700.14
1.7500e+051881901.790.05
1.8000e+051941961.890.05
1.8500e+051972025.010.14
1.9000e+052022086.140.17
1.9500e+052082146.280.17
2.0000e+052172203.420.09
2.1000e+052262336.750.18
2.2000e+0523424511.120.29
2.3000e+0524225815.520.40
2.4000e+0525327016.960.43
2.5000e+0526828214.420.36
2.6000e+0528029514.920.36
2.7000e+0529430713.440.32
2.8000e+0530632013.990.33
2.9000e+053233339.560.22
3.0000e+0533434511.160.26
3.1000e+053493588.780.20
3.2000e+053613709.420.21
3.3000e+053753838.080.18
3.4000e+053923963.760.08
3.5000e+054054083.450.07
3.6000e+054194212.170.05
3.7000e+05434434-0.10-0.00
3.8000e+054454471.650.03
3.9000e+054564593.410.07
4.0000e+054694723.180.06
4.1000e+054784856.970.14
4.2000e+054944983.780.08
4.3000e+055065114.600.09
4.4000e+055175236.420.13
4.5000e+055365360.270.01
4.6000e+05550549-0.88-0.02
4.7000e+055605621.980.04
4.8000e+05578575-3.14-0.06
4.9000e+05591588-3.26-0.06
5.0000e+05609601-8.36-0.16
5.2000e+056226264.460.08
5.4000e+056486524.310.08
5.6000e+056776781.200.02
5.8000e+05707704-2.87-0.05
6.0000e+05734730-3.92-0.07
6.2000e+057497567.060.12
6.4000e+0576878214.070.24
6.6000e+0579080818.100.30
6.8000e+0581683418.160.30
7.0000e+0583286028.240.45
7.2000e+0586388623.350.37
7.4000e+0588791225.470.40
7.6000e+0590893930.610.48
7.8000e+0594196523.780.37
8.0000e+0596799123.960.36
8.2000e+05984101733.160.50
8.4000e+051005104338.370.57
8.6000e+051032107037.600.55
8.8000e+051062109633.850.49
9.0000e+051092112230.110.44
9.2000e+051123114825.380.36
9.4000e+051149117525.670.36
9.6000e+051178120122.970.32
9.8000e+051201122726.280.37
1.0000e+061234125419.610.27
1.0500e+061303131916.470.22
1.1000e+061368138517.390.23
1.1500e+061431145120.380.27
1.2000e+061503151714.410.18
1.2500e+061564158419.500.24
1.3000e+061632165017.630.22
1.3500e+06171017165.810.07
1.4000e+06178217820.020.00
1.4500e+061832184816.280.19
1.5000e+061903191511.560.13
1.5500e+061964198116.870.19
1.6000e+062027204720.220.23
1.6500e+062088211425.590.29
1.7000e+062165218014.980.16
1.7500e+062224224622.400.24
1.8000e+062300231312.840.14
1.8500e+062368237911.290.12
1.9000e+06243624469.770.10
1.9500e+06250525127.270.08
2.0000e+062559257919.780.20
2.1000e+062701271210.840.11
2.2000e+062822284522.960.23
2.3000e+062945297833.130.32
2.4000e+063075311136.330.34
2.5000e+063190324554.580.51
2.6000e+063333337844.850.41
2.7000e+063464351147.140.42
2.8000e+063596364448.460.43
2.9000e+063734377843.800.38
3.0000e+063865391146.160.40
3.1000e+064003404541.520.35
3.2000e+064123417854.900.46
3.3000e+064262431149.290.41
3.4000e+064412444532.690.27
3.5000e+064529457849.090.40
3.6000e+064676471135.500.28
3.7000e+064820484524.900.20
3.8000e+064936497842.310.33
3.9000e+065056511255.720.43
4.0000e+065189524556.120.43
4.1000e+065327537951.530.39
4.2000e+065470551241.930.31
4.3000e+065615564530.320.22
4.4000e+065733577945.710.33
4.5000e+065877591235.100.25
4.6000e+066016604529.480.21
4.7000e+066147617931.850.23
4.8000e+066280631232.210.23
4.9000e+066413644632.560.23
5.0000e+066537657941.910.29
5.2000e+066807684638.570.26
5.4000e+067085711227.190.18
5.6000e+067342737936.770.24
5.8000e+067597764548.310.31
6.0000e+067875791236.790.23
6.2000e+068132817846.230.29
6.4000e+068410844534.610.21
6.6000e+068691871119.950.12
6.8000e+068961897716.230.10
7.0000e+069231924312.450.07
7.2000e+069496951013.620.08
7.4000e+069750977625.740.15
7.6000e+06100211004220.800.12
7.8000e+0610303103084.800.03
8.0000e+061057710574-3.26-0.02
8.2000e+06108281084011.630.06
8.4000e+061111811105-12.54-0.07
8.6000e+061137911371-7.77-0.04
8.8000e+061165311637-16.05-0.09
9.0000e+061192511903-22.39-0.12
9.2000e+061220112168-32.79-0.17
9.4000e+061246212434-28.25-0.15
9.6000e+061273212699-32.77-0.17
9.8000e+061300712965-42.34-0.22
1.0000e+071325513230-24.97-0.13
1.0500e+071391713893-23.80-0.12
1.1000e+071457714556-20.98-0.10
1.1500e+071523315218-14.52-0.07
1.2000e+071590815881-27.40-0.13
1.2500e+071657716542-34.63-0.16
1.3000e+071725417204-50.19-0.23
1.3500e+071790417865-39.09-0.17
1.4000e+071860618526-80.33-0.35
1.4500e+071928019186-93.88-0.41
1.5000e+071994519846-98.76-0.42
1.5500e+072061320506-106.95-0.45
1.6000e+072126321166-97.46-0.40
1.6500e+072192621825-101.27-0.41
1.7000e+072259722484-113.38-0.46
1.7500e+072323423142-91.80-0.37
1.8000e+072388723800-86.50-0.34
1.8500e+072448424459-25.50-0.10
1.9000e+072513425116-17.78-0.07
1.9500e+072583625774-62.34-0.24
2.0000e+072649326431-62.19-0.23
2.1000e+072781627744-71.68-0.26
2.2000e+072910729057-50.25-0.18
2.3000e+073039730368-28.84-0.10
2.4000e+073172031679-41.45-0.14
2.5000e+07329353298852.960.18
2.6000e+07342313429665.410.22
2.7000e+07355463560457.930.19
2.8000e+07368273691183.540.27
2.9000e+07381583821658.260.19
3.0000e+07394533952168.110.21
3.1000e+07407394082586.110.27
3.2000e+07420474212881.280.25
3.3000e+074331743431113.630.34
3.4000e+07446634473269.190.21
3.5000e+074592246033110.970.33
3.6000e+074720647333126.990.37
3.7000e+07485964863236.260.10
3.8000e+07498934993137.800.11
3.9000e+07512015122927.610.08
4.0000e+07524325252693.720.26
4.1000e+07537685382254.140.15
4.2000e+07550905511827.880.08
4.3000e+07563295641383.950.23
4.4000e+075759257707115.360.31
4.5000e+07589225900179.120.21
4.6000e+07602186029476.260.20
4.7000e+07615006158786.760.22
4.8000e+07628356287943.650.11
4.9000e+07641526417017.940.05
5.0000e+0765454654616.630.02
5.2000e+07679506804090.270.22
5.4000e+07705497061868.640.17
5.6000e+07731057319387.790.21
5.8000e+07756777576688.810.21
6.0000e+07782717833765.730.15
6.2000e+07808368090669.620.16
6.4000e+0783465834737.540.02
6.6000e+078611686038-78.47-0.17
6.8000e+078872988601-128.37-0.28
7.0000e+079129091162-128.10-0.28
7.2000e+079385893721-136.63-0.29
7.4000e+079643896279-158.91-0.33
7.6000e+079899598835-159.90-0.33
7.8000e+07101598101389-208.58-0.43
8.0000e+07104094103942-151.89-0.31
8.2000e+07106585106493-91.81-0.18
8.4000e+07109188109043-145.31-0.29
8.6000e+07111645111591-54.34-0.11
8.8000e+07114214114137-76.90-0.15
9.0000e+07116796116682-113.94-0.22
9.2000e+07119313119226-87.43-0.17
9.4000e+07121902121768-134.36-0.25
9.6000e+07124417124308-108.69-0.20
9.8000e+07126944126848-96.40-0.18
1.0000e+08129567129386-181.46-0.33
1.0500e+08135783135725-58.41-0.11
1.1000e+0814201614205639.650.07
1.1500e+08148248148379131.030.23
1.2000e+08154580154695115.010.20
1.2500e+08160797161004206.870.34
1.3000e+08167060167306245.860.40
1.3500e+08173457173601144.190.23
1.4000e+0817984917989041.100.07
1.4500e+0818609118617381.770.13
1.5000e+0819240619244943.400.07
1.5500e+08198733198720-12.82-0.02
1.6000e+08205005204985-19.75-0.03
1.6500e+08211290211245-45.21-0.07
1.7000e+08217391217499107.940.16
1.7500e+0822366022374887.850.13
1.8000e+0822990222999289.640.13
1.8500e+0823613423623096.440.13
1.9000e+08242355242464109.380.15
1.9500e+0824868124869412.570.02
2.0000e+0825484425491874.120.10
2.1000e+08267375267354-21.29-0.03
2.2000e+08279908279772-136.06-0.18
2.3000e+082921722921741.510.00
2.4000e+0830449430455965.090.08
2.5000e+0831684531692984.280.10
2.6000e+08329353329285-68.34-0.08
2.7000e+08341669341626-43.27-0.05
2.8000e+08354030353953-77.01-0.09
2.9000e+083662583662678.890.01
3.0000e+08378596378568-28.15-0.03
3.1000e+08390930390856-73.72-0.08
3.2000e+08403227403133-94.46-0.10
3.3000e+0841536741539729.990.03
3.4000e+0842757242765077.960.08
3.5000e+08439747439892144.770.15
3.6000e+08451914452123208.700.22
3.7000e+08463968464343375.050.38
3.8000e+08476136476553417.070.42
3.9000e+08488268488753485.030.49
4.0000e+08500475500943468.150.46
4.1000e+08512608513124515.680.51
4.2000e+08524698525295596.840.58
4.3000e+08536771537457685.820.66
4.4000e+08548941549610668.840.63
4.5000e+08561030561754724.070.68
4.6000e+08573091573890798.720.74
4.7000e+08585326586017690.950.64
4.8000e+08597399598136736.920.67
4.9000e+08609413610247833.810.75
5.0000e+08621407622350942.770.84
5.2000e+086455166465321016.490.89
5.4000e+08669832670685853.200.74
5.6000e+08693932694809876.970.75
5.8000e+087178427189051062.780.89
6.0000e+08742186742974787.530.65
6.2000e+08766293767016723.090.59
6.4000e+08790131791033902.270.72
6.6000e+088138758150261150.810.91
6.8000e+088379048389941090.430.85
7.0000e+088618628629401077.800.83
7.2000e+088856408868631222.570.93
7.4000e+08909836910763927.320.70
7.6000e+08933778934643864.630.64
7.8000e+08957683958501818.040.60
8.0000e+08981577982339762.060.55
8.2000e+0810053211006157836.190.60
8.4000e+0810293381029956617.880.44
8.6000e+0810529701053736765.600.54
8.8000e+0810767661077497730.750.51
9.0000e+0811006751101240564.740.39
9.2000e+0811244071124965557.970.38
9.4000e+0811482131148673459.810.31
9.6000e+0811719781172364385.610.26
9.8000e+0811955101196038527.720.35
1.0000e+0912192431219695452.460.30
1.0500e+0912787711278770-0.73-0.00
1.1000e+0913379811337749-231.62-0.15
1.1500e+0913968131396637-176.00-0.11
1.2000e+0914553031455437134.000.08
1.2500e+0915137901514153362.920.22
1.3000e+0915723581572788430.040.25
1.3500e+0916311231631345222.390.13
1.4000e+0916894821689828345.770.19
1.4500e+0917478411748238396.790.22
1.5000e+0918064211806578156.900.09
1.5500e+0918646961864850154.360.08
1.6000e+0919227211923057336.320.18
1.6500e+0919812351981201-34.23-0.02
1.7000e+0920394792039283-196.40-0.10
1.7500e+0920977572097305-452.40-0.23
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