Gap size : 192 (r=96)

Generated by program gapCounts : Mon Jun 27 12:56:16 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+02000.000.00
3.0000e+020-0-0.00-0.00
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+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+03000.000.00
8.8000e+03000.000.00
9.0000e+03000.000.00
9.2000e+03000.000.00
9.4000e+03000.000.00
9.6000e+03000.000.00
9.8000e+03000.000.00
1.0000e+04000.000.00
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+040-0-0.00-0.00
1.4500e+040-0-0.00-0.00
1.5000e+040-0-0.00-0.00
1.5500e+040-0-0.00-0.00
1.6000e+040-0-0.00-0.00
1.6500e+040-0-0.00-0.00
1.7000e+040-0-0.00-0.00
1.7500e+040-0-0.00-0.00
1.8000e+040-0-0.00-0.00
1.8500e+040-0-0.00-0.00
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+05000.000.00
8.8000e+05000.000.00
9.0000e+05000.000.00
9.2000e+05000.000.00
9.4000e+05000.000.00
9.6000e+05000.000.00
9.8000e+05000.000.00
1.0000e+06000.000.00
1.0500e+06000.000.00
1.1000e+06000.000.00
1.1500e+06000.000.00
1.2000e+06000.000.00
1.2500e+06000.000.00
1.3000e+06000.000.00
1.3500e+06000.000.00
1.4000e+06000.000.00
1.4500e+06000.000.00
1.5000e+06000.000.00
1.5500e+06000.000.00
1.6000e+06000.000.00
1.6500e+06000.000.00
1.7000e+06000.000.00
1.7500e+06000.000.00
1.8000e+06000.000.00
1.8500e+06000.000.00
1.9000e+06000.000.00
1.9500e+06000.000.00
2.0000e+06000.000.00
2.1000e+06000.000.00
2.2000e+06000.000.00
2.3000e+06000.000.00
2.4000e+06000.000.00
2.5000e+06000.000.00
2.6000e+06000.000.00
2.7000e+06000.000.00
2.8000e+06000.000.00
2.9000e+06000.000.00
3.0000e+06000.000.00
3.1000e+06000.000.00
3.2000e+06000.000.00
3.3000e+06000.000.00
3.4000e+06000.000.00
3.5000e+06000.000.00
3.6000e+06000.000.00
3.7000e+06000.000.00
3.8000e+06000.000.00
3.9000e+06000.000.00
4.0000e+06000.000.00
4.1000e+06000.000.00
4.2000e+06000.000.00
4.3000e+06000.000.00
4.4000e+06000.000.00
4.5000e+06000.000.00
4.6000e+06000.000.00
4.7000e+06000.000.00
4.8000e+06000.000.00
4.9000e+06000.000.00
5.0000e+06000.000.00
5.2000e+06000.000.00
5.4000e+06000.000.00
5.6000e+06000.000.00
5.8000e+06000.000.00
6.0000e+06000.000.00
6.2000e+06000.000.00
6.4000e+06000.000.00
6.6000e+06000.010.00
6.8000e+06000.010.00
7.0000e+06000.010.00
7.2000e+06000.010.00
7.4000e+06000.010.00
7.6000e+06000.010.00
7.8000e+06000.010.00
8.0000e+06000.010.00
8.2000e+06000.010.00
8.4000e+06000.010.00
8.6000e+06000.010.00
8.8000e+06000.010.00
9.0000e+06000.010.00
9.2000e+06000.010.00
9.4000e+06000.010.00
9.6000e+06000.010.00
9.8000e+06000.010.00
1.0000e+07000.010.00
1.0500e+07000.020.00
1.1000e+07000.020.00
1.1500e+07000.020.00
1.2000e+07000.020.00
1.2500e+07000.020.00
1.3000e+07000.020.00
1.3500e+07000.030.00
1.4000e+07000.030.00
1.4500e+07000.030.00
1.5000e+07000.030.00
1.5500e+07000.040.00
1.6000e+07000.040.00
1.6500e+07000.040.00
1.7000e+07000.040.00
1.7500e+07000.050.00
1.8000e+07000.050.00
1.8500e+07000.050.00
1.9000e+07000.060.00
1.9500e+07000.060.00
2.0000e+07000.060.00
2.1000e+07000.070.00
2.2000e+07000.080.00
2.3000e+07000.080.00
2.4000e+07000.090.00
2.5000e+07000.100.00
2.6000e+07000.110.00
2.7000e+07000.120.00
2.8000e+07000.130.00
2.9000e+07000.130.00
3.0000e+07000.140.00
3.1000e+07000.150.00
3.2000e+07000.160.00
3.3000e+07000.170.00
3.4000e+07000.190.00
3.5000e+07000.200.00
3.6000e+07000.210.00
3.7000e+07000.220.00
3.8000e+07000.230.00
3.9000e+07000.240.00
4.0000e+07000.260.00
4.1000e+07000.270.00
4.2000e+07000.280.00
4.3000e+07000.300.00
4.4000e+07000.310.00
4.5000e+07000.320.00
4.6000e+07000.340.00
4.7000e+07000.350.00
4.8000e+07000.370.00
4.9000e+07000.380.00
5.0000e+07000.400.00
5.2000e+07000.430.00
5.4000e+07000.460.00
5.6000e+07010.500.00
5.8000e+07010.530.00
6.0000e+07010.570.00
6.2000e+07010.600.00
6.4000e+07010.640.00
6.6000e+07010.680.00
6.8000e+07010.720.00
7.0000e+07010.760.00
7.2000e+07010.800.00
7.4000e+07010.840.00
7.6000e+07010.890.00
7.8000e+07010.930.00
8.0000e+07010.980.00
8.2000e+07011.020.00
8.4000e+07011.070.00
8.6000e+07011.120.00
8.8000e+07011.170.00
9.0000e+07011.220.00
9.2000e+07011.270.00
9.4000e+07011.320.00
9.6000e+07011.370.00
9.8000e+07011.430.00
1.0000e+08011.480.00
1.0500e+08021.620.00
1.1000e+08021.760.00
1.1500e+08021.910.00
1.2000e+08022.070.00
1.2500e+08121.230.00
1.3000e+08121.390.00
1.3500e+08131.560.00
1.4000e+08131.730.00
1.4500e+08131.910.00
1.5000e+08132.090.00
1.5500e+08231.280.00
1.6000e+08231.470.00
1.6500e+08340.670.00
1.7000e+08340.870.00
1.7500e+08341.070.00
1.8000e+08341.280.00
1.8500e+08440.490.00
1.9000e+08450.710.00
1.9500e+08450.930.00
2.0000e+08451.160.00
2.1000e+08560.620.00
2.2000e+08561.090.00
2.3000e+0877-0.41-0.00
2.4000e+08770.090.00
2.5000e+08780.610.00
2.6000e+08781.150.00
2.7000e+08890.700.00
2.8000e+08891.260.00
2.9000e+089100.840.00
3.0000e+089101.430.00
3.1000e+089112.030.00
3.2000e+0811120.640.00
3.3000e+0812120.270.00
3.4000e+081513-2.09-0.00
3.5000e+081614-2.44-0.00
3.6000e+081614-1.77-0.00
3.7000e+081715-2.09-0.00
3.8000e+081716-1.41-0.00
3.9000e+081716-0.71-0.00
4.0000e+0817170.000.00
4.1000e+0817180.730.00
4.2000e+0818180.460.00
4.3000e+0818191.200.00
4.4000e+0818201.960.00
4.5000e+0818212.720.00
4.6000e+0819222.500.00
4.7000e+0820222.290.00
4.8000e+0821232.080.00
4.9000e+0822241.890.00
5.0000e+0823251.710.00
5.2000e+0823263.370.00
5.4000e+0825283.080.00
5.6000e+0828301.820.00
5.8000e+0829322.600.00
6.0000e+0829334.420.00
6.2000e+0830355.270.00
6.4000e+0831376.160.00
6.6000e+0833396.080.00
6.8000e+0836415.040.00
7.0000e+0838435.030.00
7.2000e+0844451.050.00
7.4000e+0846471.110.00
7.6000e+0848491.200.00
7.8000e+0850511.320.00
8.0000e+0852531.480.00
8.2000e+0855560.660.00
8.4000e+0855582.870.00
8.6000e+0856604.120.00
8.8000e+0857625.390.00
9.0000e+0862652.690.00
9.2000e+0866671.030.00
9.4000e+0869690.390.00
9.6000e+0870721.770.00
9.8000e+0874740.190.00
1.0000e+0974772.630.00
1.0500e+0981831.860.00
1.1000e+0988891.250.00
1.1500e+099796-1.20-0.00
1.2000e+091021030.510.00
1.2500e+091041095.370.00
1.3000e+091111165.380.00
1.3500e+091151248.530.00
1.4000e+091221318.830.00
1.4500e+091291389.260.01
1.5000e+091371468.830.00
1.5500e+0914315410.540.01
1.6000e+0915016111.370.01
1.6500e+091611698.330.00
1.7000e+091721775.420.00
1.7500e+091801865.630.00
1.8000e+091891944.960.00
1.8500e+091972025.410.00
1.9000e+092062114.980.00
1.9500e+092112208.660.00
2.0000e+092192289.460.00
2.1000e+092382468.380.00
2.2000e+092572657.730.00
2.3000e+092772846.510.00
2.4000e+092933039.690.00
2.5000e+093133229.270.00
2.6000e+093363426.230.00
2.7000e+093533639.580.00
2.8000e+093763837.290.00
2.9000e+093964048.360.00
3.0000e+094224263.780.00
3.1000e+094464481.550.00
3.2000e+09471470-1.35-0.00
3.3000e+09497492-4.92-0.00
3.4000e+09519515-4.16-0.00
3.5000e+095375380.910.00
3.6000e+095555616.290.00
3.7000e+0957258512.980.00
3.8000e+095996099.960.00
3.9000e+096306333.250.00
4.0000e+09662658-4.18-0.00
4.1000e+09686683-3.33-0.00
4.2000e+09717708-9.19-0.00
4.3000e+09740733-6.78-0.00
4.4000e+09774759-15.10-0.01
4.5000e+09812785-27.15-0.01
4.6000e+09834811-22.94-0.01
4.7000e+09863838-25.47-0.01
4.8000e+09891864-26.74-0.01
4.9000e+09921891-29.76-0.01
5.0000e+09963918-44.54-0.01
5.2000e+091012974-38.35-0.01
5.4000e+0910811030-51.21-0.02
5.6000e+0911321087-45.15-0.01
5.8000e+0911851145-40.17-0.01
6.0000e+0912521204-48.31-0.01
6.2000e+0913061263-42.58-0.01
6.4000e+0913721324-48.01-0.01
6.6000e+0914311385-45.61-0.01
6.8000e+0914841448-36.39-0.01
7.0000e+0915561511-45.39-0.01
7.2000e+0916111574-36.60-0.01
7.4000e+0916831639-44.06-0.01
7.6000e+0917361704-31.76-0.01
7.8000e+0918001770-29.73-0.01
8.0000e+0918721837-34.98-0.01
8.2000e+0919481904-43.51-0.01
8.4000e+0920141973-41.36-0.01
8.6000e+0920922041-50.51-0.01
8.8000e+0921452111-33.99-0.01
9.0000e+0922192181-37.81-0.01
9.2000e+0922852252-32.97-0.01
9.4000e+0923552324-31.50-0.01
9.6000e+0924492396-53.38-0.01
9.8000e+0925122468-43.65-0.01
1.0000e+1025882542-46.30-0.01
1.0500e+1027612728-33.29-0.01
1.1000e+1029702917-52.62-0.01
1.1500e+1031613111-50.41-0.01
1.2000e+1033873307-79.77-0.02
1.2500e+1035903507-82.81-0.02
1.3000e+1038003710-89.61-0.02
1.3500e+1040073917-90.27-0.02
1.4000e+1042074126-80.87-0.02
1.4500e+1044104339-71.50-0.01
1.5000e+1046464554-92.22-0.02
1.5500e+1048544772-82.11-0.02
1.6000e+1050944993-101.23-0.02
1.6500e+1053125216-95.66-0.02
1.7000e+1055215443-78.43-0.01
1.7500e+1057525671-80.63-0.01
1.8000e+1059845903-81.29-0.01
1.8500e+1062096137-72.47-0.01
1.9000e+1064406373-67.22-0.01
1.9500e+1066986611-86.59-0.01
2.0000e+1069416852-88.61-0.01
2.1000e+1074287341-86.83-0.01
2.2000e+1078887839-49.19-0.01
2.3000e+1084208345-74.99-0.01
2.4000e+1089178859-57.51-0.01
2.5000e+1094579382-75.00-0.01
2.6000e+1099959912-82.72-0.01
2.7000e+101055310450-102.88-0.02
2.8000e+101111910995-123.69-0.02
2.9000e+101170111548-153.36-0.02
3.0000e+101227112107-164.06-0.02
3.1000e+101282212673-148.97-0.02
3.2000e+101338613246-140.26-0.02
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