Gap size : 144 (r=72)

Generated by program gapCounts : Mon Jun 27 12:45:55 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+030-0-0.00-0.00
5.2000e+030-0-0.00-0.00
5.4000e+030-0-0.00-0.00
5.6000e+030-0-0.00-0.00
5.8000e+030-0-0.00-0.00
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+03000.000.00
8.2000e+03000.000.00
8.4000e+03000.000.00
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+040-0-0.00-0.00
1.1000e+040-0-0.00-0.00
1.1500e+040-0-0.00-0.00
1.2000e+040-0-0.00-0.00
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+05000.000.00
5.0000e+05000.000.00
5.2000e+05000.000.00
5.4000e+05000.000.00
5.6000e+05000.000.00
5.8000e+05000.000.00
6.0000e+05000.000.00
6.2000e+05000.000.00
6.4000e+05000.000.00
6.6000e+05000.000.00
6.8000e+05000.000.00
7.0000e+05000.000.00
7.2000e+05000.000.00
7.4000e+05000.000.00
7.6000e+05000.000.00
7.8000e+05000.000.00
8.0000e+05000.000.00
8.2000e+05000.000.00
8.4000e+05000.000.00
8.6000e+05000.010.00
8.8000e+05000.010.00
9.0000e+05000.010.00
9.2000e+05000.010.00
9.4000e+05000.010.00
9.6000e+05000.010.00
9.8000e+05000.010.00
1.0000e+06000.010.00
1.0500e+06000.010.00
1.1000e+06000.010.00
1.1500e+06000.010.00
1.2000e+06000.010.00
1.2500e+06000.010.00
1.3000e+06000.010.00
1.3500e+06000.010.00
1.4000e+06000.020.00
1.4500e+06000.020.00
1.5000e+06000.020.00
1.5500e+06000.020.00
1.6000e+06000.020.00
1.6500e+06000.020.00
1.7000e+06000.030.00
1.7500e+06000.030.00
1.8000e+06000.030.00
1.8500e+06000.030.00
1.9000e+06000.030.00
1.9500e+06000.030.00
2.0000e+06000.040.00
2.1000e+06000.040.00
2.2000e+06000.050.00
2.3000e+06000.050.00
2.4000e+06000.050.00
2.5000e+06000.060.00
2.6000e+06000.060.00
2.7000e+06000.070.00
2.8000e+06000.080.00
2.9000e+06000.080.00
3.0000e+06000.090.00
3.1000e+06000.090.00
3.2000e+06000.100.00
3.3000e+06000.110.00
3.4000e+06000.110.00
3.5000e+06000.120.00
3.6000e+06000.130.00
3.7000e+06000.140.00
3.8000e+06000.140.00
3.9000e+06000.150.00
4.0000e+06000.160.00
4.1000e+06000.170.00
4.2000e+06000.180.00
4.3000e+06000.190.00
4.4000e+06000.200.00
4.5000e+06000.200.00
4.6000e+06000.210.00
4.7000e+06000.220.00
4.8000e+06000.230.00
4.9000e+06000.240.00
5.0000e+06000.250.00
5.2000e+06000.270.00
5.4000e+06000.290.00
5.6000e+06000.320.00
5.8000e+06000.340.00
6.0000e+06000.360.00
6.2000e+06000.390.00
6.4000e+06000.410.00
6.6000e+06000.440.00
6.8000e+06000.460.00
7.0000e+06000.490.00
7.2000e+06010.520.00
7.4000e+06010.550.00
7.6000e+06010.570.00
7.8000e+06010.600.00
8.0000e+06010.630.00
8.2000e+06010.660.00
8.4000e+06010.700.00
8.6000e+06010.730.00
8.8000e+06010.760.00
9.0000e+06010.790.00
9.2000e+06010.830.00
9.4000e+06010.860.00
9.6000e+06010.900.00
9.8000e+06010.930.00
1.0000e+07010.970.00
1.0500e+07011.060.01
1.1000e+07011.160.01
1.1500e+07011.250.01
1.2000e+07110.360.00
1.2500e+07110.460.00
1.3000e+07120.570.00
1.3500e+07120.690.00
1.4000e+07120.800.00
1.4500e+07120.920.00
1.5000e+07121.040.00
1.5500e+07121.170.00
1.6000e+07121.290.01
1.6500e+07121.420.01
1.7000e+07131.560.01
1.7500e+07131.690.01
1.8000e+07131.830.01
1.8500e+07131.970.01
1.9000e+07231.120.00
1.9500e+07231.270.00
2.0000e+07231.420.01
2.1000e+0744-0.28-0.00
2.2000e+0754-0.96-0.00
2.3000e+0754-0.63-0.00
2.4000e+0755-0.29-0.00
2.5000e+07550.050.00
2.6000e+0765-0.59-0.00
2.7000e+0766-0.23-0.00
2.8000e+0776-0.85-0.00
2.9000e+0787-1.47-0.00
3.0000e+0787-1.08-0.00
3.1000e+0787-0.68-0.00
3.2000e+0798-1.27-0.00
3.3000e+07108-1.85-0.01
3.4000e+07109-1.43-0.00
3.5000e+07109-0.99-0.00
3.6000e+07119-1.55-0.00
3.7000e+071110-1.10-0.00
3.8000e+071210-1.65-0.00
3.9000e+071211-1.18-0.00
4.0000e+071211-0.71-0.00
4.1000e+071312-1.24-0.00
4.2000e+071312-0.75-0.00
4.3000e+071313-0.26-0.00
4.4000e+071413-0.76-0.00
4.5000e+071514-1.25-0.00
4.6000e+071514-0.74-0.00
4.7000e+071515-0.22-0.00
4.8000e+0715150.300.00
4.9000e+071616-0.16-0.00
5.0000e+0716160.380.00
5.2000e+0717170.470.00
5.4000e+0718190.590.00
5.6000e+072120-1.26-0.00
5.8000e+072221-1.09-0.00
6.0000e+072322-0.89-0.00
6.2000e+072523-1.68-0.00
6.4000e+072625-1.44-0.00
6.6000e+072826-2.18-0.00
6.8000e+073027-2.89-0.01
7.0000e+073128-2.59-0.01
7.2000e+073230-2.26-0.00
7.4000e+073231-0.92-0.00
7.6000e+073332-0.55-0.00
7.8000e+073434-0.17-0.00
8.0000e+073635-0.76-0.00
8.2000e+0736370.660.00
8.4000e+0736382.110.00
8.6000e+0737402.570.01
8.8000e+0738413.050.01
9.0000e+0738434.550.01
9.2000e+0742442.070.00
9.4000e+0744461.600.00
9.6000e+075047-2.85-0.01
9.8000e+075049-1.28-0.00
1.0000e+085150-0.69-0.00
1.0500e+085554-0.65-0.00
1.1000e+085958-0.51-0.00
1.1500e+0862630.730.00
1.2000e+0864673.060.01
1.2500e+0871710.490.00
1.3000e+0875761.010.00
1.3500e+088181-0.39-0.00
1.4000e+088885-2.69-0.00
1.4500e+089590-4.92-0.01
1.5000e+089995-4.06-0.01
1.5500e+08101100-1.12-0.00
1.6000e+08106105-1.10-0.00
1.6500e+081081102.000.00
1.7000e+081121153.170.00
1.7500e+081161204.410.01
1.8000e+081231262.730.00
1.8500e+081261315.120.01
1.9000e+081311375.580.01
1.9500e+081371425.110.01
2.0000e+081411486.700.01
2.1000e+081511598.090.01
2.2000e+081681712.740.00
2.3000e+08186183-3.37-0.00
2.4000e+08198195-3.23-0.00
2.5000e+08214207-6.87-0.01
2.6000e+08226220-6.27-0.01
2.7000e+08235233-2.45-0.00
2.8000e+08247246-1.42-0.00
2.9000e+08262259-3.17-0.00
3.0000e+08277272-4.73-0.01
3.1000e+08289286-3.08-0.00
3.2000e+08305300-5.23-0.01
3.3000e+08320314-6.20-0.01
3.4000e+08335328-6.97-0.01
3.5000e+08353342-10.57-0.01
3.6000e+08371357-13.98-0.01
3.7000e+08396372-24.22-0.02
3.8000e+08411387-24.29-0.02
3.9000e+08426402-24.19-0.02
4.0000e+08440417-22.92-0.02
4.1000e+08461433-28.49-0.03
4.2000e+08475448-26.89-0.03
4.3000e+08492464-28.14-0.03
4.4000e+08508480-28.24-0.03
4.5000e+08523496-27.18-0.03
4.6000e+08536512-23.98-0.02
4.7000e+08544528-15.63-0.01
4.8000e+08563545-18.13-0.02
4.9000e+08582562-20.49-0.02
5.0000e+08601578-22.71-0.02
5.2000e+08639612-26.73-0.02
5.4000e+08665647-18.21-0.02
5.6000e+08693682-11.18-0.01
5.8000e+08728717-10.63-0.01
6.0000e+08759753-5.58-0.00
6.2000e+08804790-14.05-0.01
6.4000e+08833827-6.05-0.00
6.6000e+08868864-3.59-0.00
6.8000e+088999023.330.00
7.0000e+089399411.690.00
7.2000e+0896397916.470.01
7.4000e+081006101912.680.01
7.6000e+081042105816.310.01
7.8000e+081077109821.340.02
8.0000e+081121113917.770.01
8.2000e+08117111808.590.01
8.4000e+08121612214.790.00
8.6000e+08125812624.370.00
8.8000e+08130413040.320.00
9.0000e+08134013476.630.00
9.2000e+081375138914.300.01
9.4000e+081412143220.310.01
9.6000e+08147514760.680.00
9.8000e+08151715192.380.00
1.0000e+09155515638.420.01
1.0500e+091660167514.950.01
1.1000e+091771178817.460.01
1.1500e+091878190425.880.02
1.2000e+091991202130.150.02
1.2500e+092118214022.210.01
1.3000e+092232226129.000.02
1.3500e+092344238339.470.02
1.4000e+092495250812.580.01
1.4500e+09262526338.270.00
1.5000e+092741276119.500.01
1.5500e+0928902889-0.76-0.00
1.6000e+0930273019-7.56-0.00
1.6500e+0931613151-9.93-0.01
1.7000e+0932873284-2.90-0.00
1.7500e+093402341816.480.01
1.8000e+093533355421.200.01
1.8500e+09369036911.220.00
1.9000e+0938333830-3.49-0.00
1.9500e+09396339696.050.00
2.0000e+09410441105.810.00
2.1000e+0944134395-18.10-0.01
2.2000e+0946944685-9.40-0.00
2.3000e+0949804979-1.26-0.00
2.4000e+0952915277-13.85-0.01
2.5000e+0955835580-3.29-0.00
2.6000e+0958895886-2.72-0.00
2.7000e+09619161975.720.00
2.8000e+0965136511-2.07-0.00
2.9000e+0968686829-39.20-0.02
3.0000e+0972467150-95.78-0.04
3.1000e+0975427475-66.90-0.03
3.2000e+0978317803-27.66-0.01
3.3000e+0981428135-7.13-0.00
3.4000e+0984768470-6.41-0.00
3.5000e+0988248807-16.57-0.01
3.6000e+0991579148-8.67-0.00
3.7000e+099482949210.200.00
3.8000e+0998399839-0.01-0.00
3.9000e+091020010189-11.37-0.00
4.0000e+091054210541-0.94-0.00
4.1000e+0910892108964.230.00
4.2000e+091127811254-23.93-0.01
4.3000e+091162911615-14.46-0.00
4.4000e+091198311978-5.41-0.00
4.5000e+091240312343-59.84-0.02
4.6000e+091275912711-47.79-0.02
4.7000e+091315913082-77.30-0.03
4.8000e+091354013455-85.42-0.03
4.9000e+091392913830-99.18-0.03
5.0000e+091430314207-95.64-0.03
5.2000e+091509514969-125.76-0.04
5.4000e+091587415740-134.07-0.04
5.6000e+091662716519-107.86-0.03
5.8000e+091744117307-134.36-0.04
6.0000e+091820618102-103.82-0.03
6.2000e+091900418906-98.47-0.03
6.4000e+091980219716-85.51-0.02
6.6000e+092061720535-82.14-0.02
6.8000e+092145521360-94.56-0.03
7.0000e+092229122193-97.93-0.03
7.2000e+092312923033-96.44-0.03
7.4000e+092393423879-55.24-0.01
7.6000e+092480524732-73.48-0.02
7.8000e+092561125591-20.31-0.01
8.0000e+092649526456-38.86-0.01
8.2000e+092737927328-51.28-0.01
8.4000e+092824328205-37.68-0.01
8.6000e+092914029089-51.19-0.01
8.8000e+093003729978-58.92-0.01
9.0000e+093091930873-45.99-0.01
9.2000e+093183231773-58.50-0.01
9.4000e+093279232679-112.56-0.03
9.6000e+093369933591-108.25-0.03
9.8000e+093462334507-115.69-0.03
1.0000e+103556335429-133.95-0.03
1.0500e+103793137755-175.56-0.04
1.1000e+104024740112-134.68-0.03
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