Gap size : 132 (r=66)

Generated by program gapCounts : Mon Jun 27 12:45:39 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+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+030-0-0.00-0.00
7.8000e+030-0-0.00-0.00
8.0000e+030-0-0.00-0.00
8.2000e+030-0-0.00-0.00
8.4000e+030-0-0.00-0.00
8.6000e+030-0-0.00-0.00
8.8000e+030-0-0.00-0.00
9.0000e+030-0-0.00-0.00
9.2000e+030-0-0.00-0.00
9.4000e+030-0-0.00-0.00
9.6000e+030-0-0.00-0.00
9.8000e+030-0-0.00-0.00
1.0000e+040-0-0.00-0.00
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+05000.000.00
1.1500e+05000.000.00
1.2000e+05000.000.00
1.2500e+05000.000.00
1.3000e+05000.000.00
1.3500e+05000.000.00
1.4000e+05000.000.00
1.4500e+05000.000.00
1.5000e+05000.000.00
1.5500e+05000.000.00
1.6000e+05000.000.00
1.6500e+05000.000.00
1.7000e+05000.000.00
1.7500e+05000.000.00
1.8000e+05000.000.00
1.8500e+05000.000.00
1.9000e+05000.000.00
1.9500e+05000.000.00
2.0000e+05000.000.00
2.1000e+05000.000.00
2.2000e+05000.000.00
2.3000e+05000.000.00
2.4000e+05000.000.00
2.5000e+05000.000.00
2.6000e+05000.000.00
2.7000e+05000.000.00
2.8000e+05000.000.00
2.9000e+05000.000.00
3.0000e+05000.000.00
3.1000e+05000.000.00
3.2000e+05000.000.00
3.3000e+05000.000.00
3.4000e+05000.000.00
3.5000e+05000.000.00
3.6000e+05000.000.00
3.7000e+05000.000.00
3.8000e+05000.000.00
3.9000e+05000.000.00
4.0000e+05000.000.00
4.1000e+05000.000.00
4.2000e+05000.000.00
4.3000e+05000.000.00
4.4000e+05000.000.00
4.5000e+05000.000.00
4.6000e+05000.000.00
4.7000e+05000.000.00
4.8000e+05000.000.00
4.9000e+05000.010.00
5.0000e+05000.010.00
5.2000e+05000.010.00
5.4000e+05000.010.00
5.6000e+05000.010.00
5.8000e+05000.010.00
6.0000e+05000.010.00
6.2000e+05000.010.00
6.4000e+05000.010.00
6.6000e+05000.010.00
6.8000e+05000.010.00
7.0000e+05000.010.00
7.2000e+05000.010.00
7.4000e+05000.010.00
7.6000e+05000.020.00
7.8000e+05000.020.00
8.0000e+05000.020.00
8.2000e+05000.020.00
8.4000e+05000.020.00
8.6000e+05000.020.00
8.8000e+05000.020.00
9.0000e+05000.020.00
9.2000e+05000.020.00
9.4000e+05000.020.00
9.6000e+05000.030.00
9.8000e+05000.030.00
1.0000e+06000.030.00
1.0500e+06000.030.00
1.1000e+06000.040.00
1.1500e+06000.040.00
1.2000e+06000.040.00
1.2500e+06000.050.00
1.3000e+06000.050.00
1.3500e+06000.060.00
1.4000e+0610-0.94-0.01
1.4500e+0610-0.93-0.01
1.5000e+0610-0.93-0.01
1.5500e+0610-0.92-0.01
1.6000e+0620-1.92-0.02
1.6500e+0620-1.91-0.02
1.7000e+0620-1.91-0.02
1.7500e+0620-1.90-0.02
1.8000e+0620-1.90-0.02
1.8500e+0620-1.89-0.02
1.9000e+0620-1.88-0.02
1.9500e+0620-1.88-0.02
2.0000e+0620-1.87-0.02
2.1000e+0620-1.86-0.02
2.2000e+0620-1.84-0.02
2.3000e+0620-1.83-0.02
2.4000e+0620-1.81-0.02
2.5000e+0620-1.79-0.02
2.6000e+0620-1.78-0.02
2.7000e+0620-1.76-0.02
2.8000e+0620-1.74-0.02
2.9000e+0620-1.72-0.02
3.0000e+0620-1.70-0.01
3.1000e+0620-1.68-0.01
3.2000e+0620-1.66-0.01
3.3000e+0620-1.64-0.01
3.4000e+0620-1.62-0.01
3.5000e+0620-1.59-0.01
3.6000e+0620-1.57-0.01
3.7000e+0620-1.55-0.01
3.8000e+0620-1.52-0.01
3.9000e+0621-1.50-0.01
4.0000e+0631-2.47-0.02
4.1000e+0631-2.44-0.02
4.2000e+0631-2.42-0.02
4.3000e+0631-2.39-0.02
4.4000e+0631-2.36-0.02
4.5000e+0631-2.34-0.02
4.6000e+0631-2.31-0.02
4.7000e+0631-2.28-0.02
4.8000e+0631-2.25-0.02
4.9000e+0631-2.22-0.02
5.0000e+0631-2.19-0.02
5.2000e+0631-2.12-0.01
5.4000e+0631-2.06-0.01
5.6000e+0631-1.99-0.01
5.8000e+0631-1.92-0.01
6.0000e+0641-2.85-0.02
6.2000e+0641-2.78-0.02
6.4000e+0641-2.71-0.02
6.6000e+0641-2.63-0.02
6.8000e+0641-2.55-0.02
7.0000e+0642-2.47-0.01
7.2000e+0642-2.39-0.01
7.4000e+0642-2.31-0.01
7.6000e+0642-2.23-0.01
7.8000e+0642-2.14-0.01
8.0000e+0642-2.05-0.01
8.2000e+0652-2.96-0.02
8.4000e+0652-2.87-0.02
8.6000e+0652-2.78-0.02
8.8000e+0652-2.68-0.01
9.0000e+0652-2.59-0.01
9.2000e+0653-2.49-0.01
9.4000e+0653-2.39-0.01
9.6000e+0653-2.29-0.01
9.8000e+0653-2.19-0.01
1.0000e+0753-2.09-0.01
1.0500e+0753-1.82-0.01
1.1000e+0753-1.55-0.01
1.1500e+0764-2.26-0.01
1.2000e+0764-1.97-0.01
1.2500e+0764-1.67-0.01
1.3000e+0785-3.37-0.02
1.3500e+0785-3.05-0.01
1.4000e+0795-3.73-0.02
1.4500e+0796-3.40-0.01
1.5000e+07106-4.06-0.02
1.5500e+07106-3.71-0.02
1.6000e+07107-3.36-0.01
1.6500e+07107-3.00-0.01
1.7000e+07107-2.63-0.01
1.7500e+07108-2.26-0.01
1.8000e+07108-1.88-0.01
1.8500e+07109-1.49-0.01
1.9000e+07109-1.09-0.00
1.9500e+07109-0.69-0.00
2.0000e+071110-1.29-0.00
2.1000e+071211-1.45-0.01
2.2000e+071311-1.59-0.01
2.3000e+071312-0.71-0.00
2.4000e+071413-0.81-0.00
2.5000e+0714140.120.00
2.6000e+071615-0.93-0.00
2.7000e+0716160.040.00
2.8000e+0717170.040.00
2.9000e+071918-0.95-0.00
3.0000e+072119-1.91-0.01
3.1000e+072120-0.86-0.00
3.2000e+072221-0.78-0.00
3.3000e+072422-1.69-0.01
3.4000e+072423-0.58-0.00
3.5000e+072625-1.45-0.00
3.6000e+072826-2.30-0.01
3.7000e+072927-2.13-0.01
3.8000e+072928-0.95-0.00
3.9000e+073129-1.75-0.00
4.0000e+073230-1.53-0.00
4.1000e+073232-0.29-0.00
4.2000e+073333-0.04-0.00
4.3000e+0734340.230.00
4.4000e+073636-0.49-0.00
4.5000e+073737-0.19-0.00
4.6000e+074038-1.87-0.00
4.7000e+074439-4.54-0.01
4.8000e+074441-3.20-0.01
4.9000e+074742-4.84-0.01
5.0000e+075044-6.46-0.02
5.2000e+075346-6.67-0.02
5.4000e+075749-7.82-0.02
5.6000e+076152-8.91-0.02
5.8000e+076655-10.95-0.03
6.0000e+077058-11.94-0.03
6.2000e+077161-9.87-0.02
6.4000e+077264-7.76-0.02
6.6000e+077567-7.59-0.02
6.8000e+077771-6.38-0.01
7.0000e+078174-7.12-0.02
7.2000e+078577-7.82-0.02
7.4000e+078981-8.46-0.02
7.6000e+079184-7.07-0.01
7.8000e+079587-7.63-0.02
8.0000e+0710091-9.14-0.02
8.2000e+0710194-6.61-0.01
8.4000e+0710298-4.05-0.01
8.6000e+07105102-3.44-0.01
8.8000e+07106105-0.79-0.00
9.0000e+07113109-4.10-0.01
9.2000e+07117113-4.37-0.01
9.4000e+07121116-4.60-0.01
9.6000e+07125120-4.79-0.01
9.8000e+07129124-4.95-0.01
1.0000e+08132128-4.07-0.01
1.0500e+08142138-4.21-0.01
1.1000e+08154148-6.13-0.01
1.1500e+08161158-2.83-0.00
1.2000e+08171169-2.33-0.00
1.2500e+081791790.370.00
1.3000e+081861904.270.01
1.3500e+081982013.360.01
1.4000e+082062136.630.01
1.4500e+082202244.080.01
1.5000e+082342361.710.00
1.5500e+082382489.510.01
1.6000e+0824925910.480.02
1.6500e+082632728.610.01
1.7000e+082762847.900.01
1.7500e+0828529611.340.02
1.8000e+083013097.940.01
1.8500e+083143227.690.01
1.9000e+083293355.590.01
1.9500e+083443483.630.00
2.0000e+083523618.820.01
2.1000e+083783889.600.01
2.2000e+0840241512.910.02
2.3000e+0842644316.750.02
2.4000e+0845247119.090.02
2.5000e+0847950020.910.03
2.6000e+0851152918.210.02
2.7000e+0854455914.960.02
2.8000e+085835896.160.01
2.9000e+086176202.790.00
3.0000e+086476513.840.00
3.1000e+086766826.300.01
3.2000e+087117143.170.00
3.3000e+087427464.420.00
3.4000e+087727797.060.01
3.5000e+0879781215.070.02
3.6000e+0883084515.450.02
3.7000e+0885687923.180.02
3.8000e+0889391320.260.02
3.9000e+0891994828.690.03
4.0000e+0894998233.460.03
4.1000e+08979101838.550.04
4.2000e+081017105335.970.03
4.3000e+081060108928.700.03
4.4000e+081091112533.750.03
4.5000e+081131116130.100.03
4.6000e+081160119837.760.04
4.7000e+081209123525.710.02
4.8000e+08126312728.950.01
4.9000e+081297130912.480.01
5.0000e+081331134716.290.01
5.2000e+08141614247.740.01
5.4000e+081477150124.260.02
5.6000e+081569158010.840.01
5.8000e+081648165911.420.01
6.0000e+08173517404.990.00
6.2000e+081799182222.530.02
6.4000e+081876190428.000.02
6.6000e+081973198714.390.01
6.8000e+08206820723.670.00
7.0000e+08214721579.820.01
7.2000e+08223422438.820.01
7.4000e+082314233015.650.01
7.6000e+082403241714.300.01
7.8000e+082495250610.740.01
8.0000e+082580259514.970.01
8.2000e+082664268520.960.02
8.4000e+082754277621.700.02
8.6000e+082836286731.170.02
8.8000e+082939295920.370.01
9.0000e+083039305213.280.01
9.2000e+0831583146-12.12-0.01
9.4000e+08323332407.170.00
9.6000e+0833393335-3.88-0.00
9.8000e+083419343111.740.01
1.0000e+093510352717.010.01
1.0500e+093750377020.460.01
1.1000e+093982401835.740.02
1.1500e+094237426931.720.02
1.2000e+094465452358.270.04
1.2500e+094739478142.270.03
1.3000e+095015504327.590.02
1.3500e+095283530724.140.01
1.4000e+09556955755.820.00
1.4500e+0958505846-4.47-0.00
1.5000e+0961366119-16.81-0.01
1.5500e+0964146396-18.28-0.01
1.6000e+0966846675-8.97-0.00
1.6500e+0969856957-27.93-0.01
1.7000e+0972587242-16.25-0.01
1.7500e+09752675293.020.00
1.8000e+097794781924.820.01
1.8500e+098101811110.070.00
1.9000e+098375840630.740.02
1.9500e+098673870329.760.01
2.0000e+098974900228.090.01
2.1000e+099593960714.470.01
2.2000e+09101851022236.530.02
2.3000e+09107901084453.920.02
2.4000e+09114471147427.340.01
2.5000e+09120851211327.520.01
2.6000e+091277212758-13.82-0.01
2.7000e+0913404134117.080.00
2.8000e+09140521407119.000.01
2.9000e+09147171473820.730.01
3.0000e+091541215411-0.95-0.00
3.1000e+091609416091-3.20-0.00
3.2000e+091678416777-7.22-0.00
3.3000e+0917461174697.840.00
3.4000e+09181211816745.820.02
3.5000e+09188531887117.560.01
3.6000e+09195391958040.930.02
3.7000e+092031020295-15.21-0.01
3.8000e+092104221015-26.98-0.01
3.9000e+092178121740-40.51-0.01
4.0000e+092251422471-42.91-0.01
4.1000e+09231942320712.710.00
4.2000e+09238882394759.250.02
4.3000e+09246372469355.600.02
4.4000e+09253752544367.660.02
4.5000e+09261072619790.350.03
4.6000e+092681626957140.570.05
4.7000e+092756127720159.240.05
4.8000e+092833728488151.280.05
4.9000e+092907729261183.610.06
5.0000e+092981130037226.150.07
5.2000e+093139631603206.600.06
5.4000e+093297933184205.050.06
5.6000e+093453134781250.000.07
5.8000e+093612236393270.970.08
6.0000e+093764938020370.500.11
6.2000e+093929839660362.180.10
6.4000e+094096941315345.600.10
6.6000e+094267742982305.380.08
6.8000e+094436244663301.190.08
7.0000e+094596646357390.670.11
7.2000e+094768948063373.520.10
7.4000e+094941649780364.420.10
7.6000e+095112851510382.110.10
7.8000e+095289753251354.290.09
8.0000e+095465855004345.730.09
8.2000e+095641356767354.160.09
8.4000e+095821158541330.350.08
8.6000e+095999160326335.070.08
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