Gap size : 170 (r=85)

Generated by program gapCounts : Mon Jun 27 12:46:32 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+030-0-0.00-0.00
7.2000e+030-0-0.00-0.00
7.4000e+030-0-0.00-0.00
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+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+040-0-0.00-0.00
1.2500e+040-0-0.00-0.00
1.3000e+040-0-0.00-0.00
1.3500e+040-0-0.00-0.00
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+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+05000.000.00
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+06000.010.00
3.3000e+06000.010.00
3.4000e+06000.010.00
3.5000e+06000.010.00
3.6000e+06000.010.00
3.7000e+06000.010.00
3.8000e+06000.010.00
3.9000e+06000.010.00
4.0000e+06000.010.00
4.1000e+06000.010.00
4.2000e+06000.010.00
4.3000e+06000.010.00
4.4000e+06000.010.00
4.5000e+06000.010.00
4.6000e+06000.010.00
4.7000e+06000.010.00
4.8000e+06000.010.00
4.9000e+06000.010.00
5.0000e+06000.010.00
5.2000e+06000.020.00
5.4000e+06000.020.00
5.6000e+06000.020.00
5.8000e+06000.020.00
6.0000e+06000.020.00
6.2000e+06000.020.00
6.4000e+06000.030.00
6.6000e+06000.030.00
6.8000e+06000.030.00
7.0000e+06000.030.00
7.2000e+06000.030.00
7.4000e+06000.030.00
7.6000e+06000.040.00
7.8000e+06000.040.00
8.0000e+06000.040.00
8.2000e+06000.040.00
8.4000e+06000.040.00
8.6000e+06000.050.00
8.8000e+06000.050.00
9.0000e+06000.050.00
9.2000e+06000.050.00
9.4000e+06000.060.00
9.6000e+06000.060.00
9.8000e+06000.060.00
1.0000e+07000.060.00
1.0500e+07000.070.00
1.1000e+07000.080.00
1.1500e+07000.090.00
1.2000e+07000.090.00
1.2500e+07000.100.00
1.3000e+07000.110.00
1.3500e+07000.120.00
1.4000e+07000.130.00
1.4500e+07000.140.00
1.5000e+07000.150.00
1.5500e+07000.160.00
1.6000e+07000.170.00
1.6500e+07000.180.00
1.7000e+07000.190.00
1.7500e+07000.200.00
1.8000e+07000.210.00
1.8500e+07000.230.00
1.9000e+07000.240.00
1.9500e+07000.250.00
2.0000e+07000.260.00
2.1000e+07000.290.00
2.2000e+07000.320.00
2.3000e+07000.350.00
2.4000e+07000.380.00
2.5000e+07000.410.00
2.6000e+07000.440.00
2.7000e+07000.470.00
2.8000e+0711-0.50-0.00
2.9000e+0711-0.46-0.00
3.0000e+0711-0.43-0.00
3.1000e+0711-0.39-0.00
3.2000e+0711-0.35-0.00
3.3000e+0711-0.31-0.00
3.4000e+0711-0.27-0.00
3.5000e+0711-0.23-0.00
3.6000e+0711-0.19-0.00
3.7000e+0711-0.15-0.00
3.8000e+0711-0.10-0.00
3.9000e+0711-0.06-0.00
4.0000e+0711-0.02-0.00
4.1000e+07110.030.00
4.2000e+07110.080.00
4.3000e+07110.120.00
4.4000e+07110.170.00
4.5000e+07110.220.00
4.6000e+07110.270.00
4.7000e+07110.320.00
4.8000e+07110.380.00
4.9000e+07110.430.00
5.0000e+07110.480.00
5.2000e+07120.590.00
5.4000e+07120.700.00
5.6000e+07120.820.00
5.8000e+07120.940.00
6.0000e+07121.060.00
6.2000e+07121.180.00
6.4000e+07121.310.00
6.6000e+07220.440.00
6.8000e+07230.570.00
7.0000e+07230.710.00
7.2000e+07230.850.00
7.4000e+07230.990.00
7.6000e+07231.130.00
7.8000e+07231.280.00
8.0000e+07231.430.00
8.2000e+07340.580.00
8.4000e+07340.740.00
8.6000e+0744-0.11-0.00
8.8000e+07440.050.00
9.0000e+07440.210.00
9.2000e+07440.380.00
9.4000e+07450.550.00
9.6000e+07450.710.00
9.8000e+07450.890.00
1.0000e+0865-0.94-0.00
1.0500e+0866-0.50-0.00
1.1000e+0876-1.04-0.00
1.1500e+0886-1.56-0.00
1.2000e+0897-2.08-0.00
1.2500e+08107-2.58-0.00
1.3000e+08108-2.07-0.00
1.3500e+08128-3.54-0.01
1.4000e+08139-4.00-0.01
1.4500e+081510-5.45-0.01
1.5000e+081510-4.89-0.01
1.5500e+081611-5.32-0.01
1.6000e+081711-5.73-0.01
1.6500e+081812-6.14-0.01
1.7000e+081812-5.53-0.01
1.7500e+081813-4.91-0.01
1.8000e+081814-4.28-0.01
1.8500e+081914-4.64-0.01
1.9000e+082015-4.99-0.01
1.9500e+082116-5.33-0.01
2.0000e+082116-4.66-0.01
2.1000e+082118-3.29-0.00
2.2000e+082219-2.88-0.00
2.3000e+082321-2.43-0.00
2.4000e+082722-4.94-0.01
2.5000e+082824-4.42-0.01
2.6000e+082825-2.86-0.00
2.7000e+082927-2.27-0.00
2.8000e+082928-0.64-0.00
2.9000e+083130-0.98-0.00
3.0000e+083232-0.29-0.00
3.1000e+083533-1.56-0.00
3.2000e+083635-0.81-0.00
3.3000e+083937-2.02-0.00
3.4000e+083939-0.20-0.00
3.5000e+0839411.640.00
3.6000e+0842430.520.00
3.7000e+0844440.420.00
3.8000e+0845461.350.00
3.9000e+0847481.310.00
4.0000e+0847503.300.00
4.1000e+0850522.310.00
4.2000e+0851543.350.00
4.3000e+0854562.420.00
4.4000e+0855593.510.00
4.5000e+0856614.630.00
4.6000e+0857635.770.01
4.7000e+0859655.940.01
4.8000e+0860677.130.01
4.9000e+0865694.350.00
5.0000e+0866725.580.01
5.2000e+0870766.130.01
5.4000e+0874816.770.01
5.6000e+08758610.500.01
5.8000e+08779013.320.01
6.0000e+08819514.220.01
6.2000e+08921008.200.01
6.4000e+08971058.270.01
6.6000e+081061104.420.00
6.8000e+081131162.640.00
7.0000e+081191211.940.00
7.2000e+081221264.320.00
7.4000e+081251326.770.01
7.6000e+081301377.300.01
7.8000e+081371435.900.00
8.0000e+081421496.560.00
8.2000e+081471547.300.01
8.4000e+081511609.100.01
8.6000e+081601665.980.00
8.8000e+081671724.910.00
9.0000e+081701787.920.01
9.2000e+081741849.990.01
9.4000e+0817919011.120.01
9.6000e+081871969.310.01
9.8000e+0819020312.570.01
1.0000e+0919820910.880.01
1.0500e+092232251.930.00
1.1000e+092412410.340.00
1.1500e+09260258-1.89-0.00
1.2000e+092732752.210.00
1.2500e+092902932.650.00
1.3000e+093103100.400.00
1.3500e+09333328-4.52-0.00
1.4000e+09353347-6.15-0.00
1.4500e+09375366-9.47-0.01
1.5000e+09401384-16.50-0.01
1.5500e+09414404-10.25-0.01
1.6000e+09440423-16.72-0.01
1.6500e+09459443-15.92-0.01
1.7000e+09478463-14.85-0.01
1.7500e+09498483-14.52-0.01
1.8000e+09515504-10.94-0.01
1.8500e+09543525-18.10-0.01
1.9000e+09562546-16.02-0.01
1.9500e+09583567-15.70-0.01
2.0000e+09607589-18.14-0.01
2.1000e+09651633-18.32-0.01
2.2000e+09705677-27.61-0.01
2.3000e+09741723-18.02-0.01
2.4000e+09771769-1.59-0.00
2.5000e+09820817-3.33-0.00
2.6000e+09868865-3.29-0.00
2.7000e+099139140.530.00
2.8000e+099549639.110.00
2.9000e+091001101312.420.01
3.0000e+09106010644.440.00
3.1000e+09111011166.160.00
3.2000e+09116711691.570.00
3.3000e+0912281222-6.36-0.00
3.4000e+0912821275-6.64-0.00
3.5000e+0913351330-5.28-0.00
3.6000e+0913911385-6.29-0.00
3.7000e+0914561440-15.70-0.01
3.8000e+0915281496-31.50-0.01
3.9000e+0915931553-39.72-0.01
4.0000e+0916581611-47.36-0.02
4.1000e+0917291669-60.43-0.02
4.2000e+0918031727-75.95-0.03
4.3000e+0918591786-72.92-0.02
4.4000e+0919291846-83.35-0.03
4.5000e+0919801906-74.26-0.02
4.6000e+0920321966-65.64-0.02
4.7000e+0920952027-67.52-0.02
4.8000e+0921492089-59.89-0.02
4.9000e+0922122151-60.77-0.02
5.0000e+0922762214-62.16-0.02
5.2000e+0923982340-57.51-0.02
5.4000e+0925092469-39.99-0.01
5.6000e+0926402599-40.65-0.01
5.8000e+0927702731-38.56-0.01
6.0000e+0928882865-22.74-0.01
6.2000e+0930223001-21.25-0.01
6.4000e+0931623138-24.12-0.01
6.6000e+0933023277-25.39-0.01
6.8000e+0934373417-20.11-0.01
7.0000e+0935893559-30.30-0.01
7.2000e+0937303702-27.99-0.01
7.4000e+0938783847-31.23-0.01
7.6000e+0940243993-31.04-0.01
7.8000e+0941804141-39.44-0.01
8.0000e+0943164290-26.47-0.01
8.2000e+0944844440-44.15-0.01
8.4000e+0946394591-47.51-0.01
8.6000e+0947974744-52.57-0.01
8.8000e+0949624899-63.36-0.02
9.0000e+0951205054-65.89-0.02
9.2000e+0952885211-77.19-0.02
9.4000e+0954475369-78.28-0.02
9.6000e+0956055528-77.18-0.02
9.8000e+0957655688-76.90-0.02
1.0000e+1059485850-98.48-0.02
1.0500e+1063646258-105.97-0.02
1.1000e+1067796673-105.63-0.02
1.1500e+1071877095-91.69-0.02
1.2000e+1076087524-84.38-0.02
1.2500e+1080527958-93.90-0.02
1.3000e+1085008399-101.45-0.02
1.3500e+1089328845-87.21-0.02
1.4000e+1094059297-108.34-0.02
1.4500e+1098579754-103.00-0.02
1.5000e+101032110217-104.35-0.02
1.5500e+101079510684-110.52-0.02
1.6000e+101126511157-107.64-0.02
1.6500e+101173011635-94.84-0.02
1.7000e+101224412118-126.24-0.02
1.7500e+101275912605-153.94-0.03
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