Gap size : 58 (r=29)

Generated by program gapCounts : Mon Jun 27 12:43:57 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+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+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+03000.000.00
5.6000e+03000.000.00
5.8000e+03000.000.00
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+03000.010.00
8.2000e+03000.010.00
8.4000e+03000.010.00
8.6000e+03000.010.00
8.8000e+03000.010.00
9.0000e+03000.010.00
9.2000e+03000.010.00
9.4000e+03000.010.00
9.6000e+03000.010.00
9.8000e+03000.010.00
1.0000e+04000.010.00
1.0500e+04000.010.00
1.1000e+04000.010.00
1.1500e+04000.020.00
1.2000e+04000.020.00
1.2500e+04000.020.00
1.3000e+04000.020.00
1.3500e+04000.020.00
1.4000e+04000.030.00
1.4500e+04000.030.00
1.5000e+04000.030.00
1.5500e+04000.030.00
1.6000e+04000.040.00
1.6500e+04000.040.00
1.7000e+04000.040.00
1.7500e+04000.050.00
1.8000e+04000.050.00
1.8500e+04000.050.00
1.9000e+04000.060.00
1.9500e+04000.060.00
2.0000e+04000.060.00
2.1000e+04000.070.00
2.2000e+04000.080.01
2.3000e+04000.090.01
2.4000e+04000.100.01
2.5000e+04000.110.01
2.6000e+04000.110.01
2.7000e+04000.120.01
2.8000e+04000.130.01
2.9000e+04000.150.01
3.0000e+04000.160.01
3.1000e+04000.170.01
3.2000e+04000.180.01
3.3000e+04000.190.01
3.4000e+04000.200.01
3.5000e+04000.220.01
3.6000e+04000.230.01
3.7000e+04000.240.01
3.8000e+04000.260.01
3.9000e+04000.270.01
4.0000e+04000.280.02
4.1000e+04000.300.02
4.2000e+04000.310.02
4.3000e+04000.330.02
4.4000e+04000.340.02
4.5000e+0410-0.64-0.03
4.6000e+0410-0.62-0.03
4.7000e+0410-0.61-0.03
4.8000e+0410-0.59-0.03
4.9000e+0410-0.58-0.03
5.0000e+0410-0.56-0.03
5.2000e+0410-0.52-0.02
5.4000e+0411-0.49-0.02
5.6000e+0411-0.45-0.02
5.8000e+0411-0.41-0.02
6.0000e+0421-1.38-0.06
6.2000e+0421-1.34-0.06
6.4000e+0421-1.30-0.06
6.6000e+0421-1.26-0.05
6.8000e+0421-1.21-0.05
7.0000e+0421-1.17-0.05
7.2000e+0421-1.13-0.05
7.4000e+0421-1.08-0.04
7.6000e+0421-1.04-0.04
7.8000e+0421-0.99-0.04
8.0000e+0431-1.94-0.08
8.2000e+0431-1.90-0.07
8.4000e+0431-1.85-0.07
8.6000e+0441-2.80-0.11
8.8000e+0441-2.75-0.11
9.0000e+0441-2.70-0.10
9.2000e+0441-2.65-0.10
9.4000e+0441-2.60-0.10
9.6000e+0441-2.54-0.09
9.8000e+0442-2.49-0.09
1.0000e+0542-2.44-0.09
1.0500e+0542-2.30-0.08
1.1000e+0542-2.16-0.08
1.1500e+0542-2.02-0.07
1.2000e+0542-1.87-0.06
1.2500e+0542-1.72-0.06
1.3000e+0542-1.56-0.05
1.3500e+0543-1.40-0.05
1.4000e+0543-1.24-0.04
1.4500e+0543-1.08-0.03
1.5000e+0543-0.91-0.03
1.5500e+0553-1.74-0.05
1.6000e+0553-1.57-0.05
1.6500e+0554-1.39-0.04
1.7000e+0554-1.21-0.04
1.7500e+0554-1.03-0.03
1.8000e+0554-0.85-0.02
1.8500e+0564-1.66-0.05
1.9000e+0565-1.47-0.04
1.9500e+0575-2.28-0.06
2.0000e+0575-2.09-0.06
2.1000e+0575-1.69-0.05
2.2000e+0586-2.29-0.06
2.3000e+0596-2.88-0.07
2.4000e+05107-3.46-0.09
2.5000e+05107-3.03-0.08
2.6000e+05107-2.60-0.06
2.7000e+05108-2.16-0.05
2.8000e+05118-2.71-0.06
2.9000e+05119-2.25-0.05
3.0000e+05119-1.79-0.04
3.1000e+051310-3.32-0.08
3.2000e+051410-3.84-0.09
3.3000e+051411-3.36-0.07
3.4000e+051411-2.88-0.06
3.5000e+051412-2.38-0.05
3.6000e+051412-1.88-0.04
3.7000e+051413-1.38-0.03
3.8000e+051413-0.87-0.02
3.9000e+051414-0.35-0.01
4.0000e+051514-0.83-0.02
4.1000e+051615-1.31-0.03
4.2000e+051715-1.78-0.04
4.3000e+051916-3.24-0.06
4.4000e+051916-2.70-0.05
4.5000e+052017-3.16-0.06
4.6000e+052017-2.61-0.05
4.7000e+052018-2.06-0.04
4.8000e+052019-1.50-0.03
4.9000e+052019-0.94-0.02
5.0000e+052120-1.37-0.03
5.2000e+052221-1.23-0.02
5.4000e+052422-2.07-0.04
5.6000e+052523-1.89-0.03
5.8000e+052524-0.70-0.01
6.0000e+0525260.500.01
6.2000e+0526270.720.01
6.4000e+0527280.950.02
6.6000e+0529290.200.00
6.8000e+0530300.460.01
7.0000e+053232-0.27-0.00
7.2000e+0533330.010.00
7.4000e+053634-1.70-0.03
7.6000e+053736-1.39-0.02
7.8000e+053837-1.08-0.02
8.0000e+054038-1.75-0.03
8.2000e+054140-1.41-0.02
8.4000e+054341-2.06-0.03
8.6000e+054642-3.71-0.05
8.8000e+054844-4.34-0.06
9.0000e+055045-4.96-0.07
9.2000e+055246-5.57-0.08
9.4000e+055248-4.18-0.06
9.6000e+055349-3.77-0.05
9.8000e+055351-2.36-0.03
1.0000e+065452-1.94-0.03
1.0500e+066256-6.34-0.09
1.1000e+066559-5.70-0.08
1.1500e+066863-5.00-0.07
1.2000e+066967-2.26-0.03
1.2500e+067471-3.48-0.04
1.3000e+068174-6.65-0.08
1.3500e+069278-13.78-0.17
1.4000e+069582-12.87-0.15
1.4500e+069986-12.92-0.15
1.5000e+0610290-11.94-0.14
1.5500e+0610794-12.92-0.15
1.6000e+0611298-13.86-0.16
1.6500e+06115102-12.77-0.14
1.7000e+06122106-15.65-0.17
1.7500e+06131111-20.50-0.22
1.8000e+06137115-22.31-0.24
1.8500e+06144119-25.10-0.27
1.9000e+06150123-26.85-0.28
1.9500e+06153127-25.58-0.27
2.0000e+06162132-30.28-0.31
2.1000e+06170140-29.60-0.30
2.2000e+06184149-34.82-0.34
2.3000e+06193158-34.93-0.34
2.4000e+06202167-34.96-0.33
2.5000e+06212176-35.89-0.33
2.6000e+06223185-37.74-0.35
2.7000e+06232194-37.51-0.34
2.8000e+06243204-39.19-0.35
2.9000e+06249213-35.80-0.31
3.0000e+06253223-30.34-0.26
3.1000e+06261232-28.80-0.24
3.2000e+06269242-27.19-0.23
3.3000e+06281251-29.52-0.24
3.4000e+06294261-32.78-0.27
3.5000e+06303271-31.97-0.26
3.6000e+06310281-29.11-0.23
3.7000e+06323291-32.19-0.25
3.8000e+06337301-36.21-0.28
3.9000e+06346311-35.17-0.27
4.0000e+06365321-44.08-0.34
4.1000e+06371331-39.93-0.30
4.2000e+06381341-39.73-0.30
4.3000e+06389352-37.49-0.28
4.4000e+06398362-36.19-0.26
4.5000e+06409372-36.84-0.27
4.6000e+06425383-42.45-0.30
4.7000e+06436393-43.01-0.30
4.8000e+06446403-42.52-0.30
4.9000e+06456414-41.99-0.29
5.0000e+06467425-42.42-0.29
5.2000e+06484446-38.15-0.26
5.4000e+06508467-40.71-0.27
5.6000e+06532489-43.12-0.28
5.8000e+06555511-44.38-0.29
6.0000e+06572533-39.49-0.25
6.2000e+06590555-35.46-0.22
6.4000e+06613577-36.30-0.22
6.6000e+06631599-32.00-0.20
6.8000e+06658621-36.58-0.22
7.0000e+06677644-33.03-0.20
7.2000e+06702667-35.37-0.21
7.4000e+06727689-37.59-0.22
7.6000e+06757712-44.69-0.26
7.8000e+06790735-54.69-0.31
8.0000e+06811758-52.58-0.30
8.2000e+06842782-60.37-0.34
8.4000e+06864805-59.05-0.32
8.6000e+06889828-60.64-0.33
8.8000e+06908852-56.13-0.30
9.0000e+06926875-50.53-0.27
9.2000e+06951899-51.84-0.27
9.4000e+06975923-52.05-0.27
9.6000e+061006947-59.18-0.31
9.8000e+061032971-61.22-0.31
1.0000e+071052995-57.18-0.29
1.0500e+0711131055-57.73-0.29
1.1000e+0711771116-60.78-0.30
1.1500e+0712321178-54.38-0.26
1.2000e+0713011239-61.53-0.29
1.2500e+0713671302-65.26-0.30
1.3000e+0714341364-69.59-0.32
1.3500e+0714921427-64.53-0.29
1.4000e+0715461491-55.09-0.24
1.4500e+0716201555-65.30-0.28
1.5000e+0716861619-67.17-0.29
1.5500e+0717541683-70.70-0.30
1.6000e+0718161748-67.91-0.28
1.6500e+0718741813-60.81-0.25
1.7000e+0719301879-51.41-0.21
1.7500e+0719781944-33.73-0.13
1.8000e+0720342010-23.76-0.09
1.8500e+0721012076-24.51-0.10
1.9000e+0721772143-34.00-0.13
1.9500e+0722552210-45.24-0.17
2.0000e+0723272277-50.22-0.19
2.1000e+0724842412-72.46-0.27
2.2000e+0726202547-72.78-0.26
2.3000e+0727342684-50.21-0.18
2.4000e+0728712821-49.81-0.17
2.5000e+0730112959-51.61-0.18
2.6000e+0731393098-40.64-0.14
2.7000e+0732843238-45.94-0.15
2.8000e+0734313378-52.53-0.17
2.9000e+0735693520-49.45-0.16
3.0000e+0737183661-56.71-0.18
3.1000e+0738623804-58.35-0.18
3.2000e+0740043947-57.38-0.18
3.3000e+0741374090-46.82-0.14
3.4000e+0742884234-53.70-0.16
3.5000e+0744554379-76.03-0.22
3.6000e+0745914524-66.84-0.19
3.7000e+0747324670-62.12-0.18
3.8000e+0748934816-76.91-0.22
3.9000e+0750344963-71.21-0.20
4.0000e+0751675110-57.05-0.16
4.1000e+0753145258-56.42-0.15
4.2000e+0754465406-40.35-0.11
4.3000e+0755955554-40.84-0.11
4.4000e+0757415703-37.91-0.10
4.5000e+0758775852-24.56-0.06
4.6000e+0760196002-16.82-0.04
4.7000e+0761696152-16.68-0.04
4.8000e+0763476303-44.15-0.11
4.9000e+0764976454-43.26-0.11
5.0000e+0766576605-51.99-0.13
5.2000e+0769726909-63.39-0.16
5.4000e+0772717214-57.42-0.14
5.6000e+0775607520-40.13-0.10
5.8000e+0779017827-73.57-0.17
6.0000e+0782198136-82.80-0.19
6.2000e+0785208446-73.85-0.17
6.4000e+0788268757-68.78-0.15
6.6000e+0791259069-55.61-0.12
6.8000e+0794339383-50.38-0.11
7.0000e+0797419697-44.13-0.10
7.2000e+071006610012-53.90-0.11
7.4000e+071038710328-58.70-0.12
7.6000e+071069810645-52.58-0.11
7.8000e+071102510963-61.55-0.13
8.0000e+071135811282-75.65-0.15
8.2000e+071170311602-100.89-0.20
8.4000e+071202311923-100.31-0.20
8.6000e+071236712244-122.92-0.24
8.8000e+071267912566-112.74-0.22
9.0000e+071298312889-93.79-0.18
9.2000e+071332213213-109.10-0.21
9.4000e+071366013537-122.68-0.23
9.6000e+071401313862-150.54-0.28
9.8000e+071430414188-115.71-0.22
1.0000e+081461114515-96.20-0.18
1.0500e+081549015334-156.04-0.28
1.1000e+081632416157-166.95-0.29
1.1500e+081715016984-166.13-0.29
1.2000e+081796117814-146.74-0.25
1.2500e+081878518648-136.97-0.23
1.3000e+081962719485-141.96-0.23
1.3500e+082048820325-162.86-0.26
1.4000e+082135321168-184.78-0.29
1.4500e+082217722014-162.85-0.25
1.5000e+082302222863-159.18-0.24
1.5500e+082388323714-168.87-0.26
1.6000e+082472624568-158.02-0.24
1.6500e+082554825424-123.72-0.18
1.7000e+082640726283-124.04-0.18
1.7500e+082723527144-91.08-0.13
1.8000e+082808428007-76.90-0.11
1.8500e+08288622887210.440.01
1.9000e+082977129740-31.15-0.04
1.9500e+083065430609-44.71-0.06
2.0000e+083149731481-16.31-0.02
2.1000e+083324933229-19.85-0.03
2.2000e+083501334985-28.15-0.04
2.3000e+083678236747-34.61-0.04
2.4000e+083856138516-44.55-0.06
2.5000e+084032240292-30.28-0.04
2.6000e+084212542073-52.08-0.06
2.7000e+084390343860-43.21-0.05
2.8000e+084574045652-87.91-0.10
2.9000e+084755847450-108.39-0.12
3.0000e+084937249252-119.87-0.14
3.1000e+085109251059-32.52-0.04
3.2000e+08528585287113.460.01
3.3000e+085469054688-2.07-0.00
3.4000e+08564515650957.720.06
3.5000e+08582985833435.690.04
3.6000e+086003660163126.700.13
3.7000e+086189361996102.630.11
3.8000e+086383463832-1.65-0.00
3.9000e+086570565673-32.24-0.03
4.0000e+086754967517-32.26-0.03
4.1000e+0869357693647.190.01
4.2000e+087124771215-31.98-0.03
4.3000e+087308773069-17.87-0.02
4.4000e+087498374926-56.56-0.05
4.5000e+087686076787-73.14-0.07
4.6000e+087875078650-99.68-0.09
4.7000e+088061480517-97.27-0.09
4.8000e+088252482386-137.97-0.13
4.9000e+088443184258-172.84-0.16
5.0000e+088626786133-133.97-0.12
5.2000e+08898298989161.790.05
5.4000e+089353993659119.840.10
5.6000e+089729297437144.730.12
5.8000e+08100986101224238.080.20
6.0000e+08104797105021223.510.18
6.2000e+08108561108826264.660.22
6.4000e+08112255112639384.220.31
6.6000e+08116133116461327.890.26
6.8000e+08119947120290343.380.27
7.0000e+08123661124127466.420.36
7.2000e+08127469127972502.780.38
7.4000e+08131257131823566.210.43
7.6000e+08135125135682556.500.41
7.8000e+08139057139546489.440.36
8.0000e+08142915143418502.830.36
8.2000e+08146765147295530.490.38
8.4000e+08150651151179528.240.37
8.6000e+08154634155069434.920.31
8.8000e+08158558158964406.350.28
9.0000e+08162537162865328.410.23
9.2000e+08166446166772325.930.22
9.4000e+08170338170684345.780.23
9.6000e+08174191174601409.840.27
9.8000e+08178095178523427.970.28
1.0000e+09181948182450502.060.33
1.0500e+09191864192289424.720.27
1.1000e+09201656202156499.990.31
1.1500e+09211516212050534.370.33
1.2000e+09221407221970563.490.34
1.2500e+09231414231915501.120.30
1.3000e+09241593241883290.110.17
1.3500e+09251660251873213.420.12
1.4000e+0926181826188567.100.04
1.4500e+0927186427191753.260.03
1.5000e+09281759281969210.080.11
1.5500e+09291772292040267.800.14
1.6000e+09301840302129288.710.15
1.6500e+09312077312235158.140.08
1.7000e+09322216322358142.490.07
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