Gap size : 198 (r=99)

Generated by program gapCounts : Mon Jun 27 12:56:24 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+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+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+04000.000.00
1.4500e+04000.000.00
1.5000e+04000.000.00
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+040-0-0.00-0.00
1.9500e+040-0-0.00-0.00
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+06000.000.00
6.8000e+06000.000.00
7.0000e+06000.000.00
7.2000e+06000.000.00
7.4000e+06000.000.00
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+07000.010.00
1.1000e+07000.010.00
1.1500e+07000.010.00
1.2000e+07000.010.00
1.2500e+07000.020.00
1.3000e+07000.020.00
1.3500e+07000.020.00
1.4000e+07000.020.00
1.4500e+07000.020.00
1.5000e+07000.020.00
1.5500e+07000.030.00
1.6000e+07000.030.00
1.6500e+07000.030.00
1.7000e+07000.030.00
1.7500e+07000.030.00
1.8000e+07000.040.00
1.8500e+07000.040.00
1.9000e+07000.040.00
1.9500e+07000.040.00
2.0000e+07000.040.00
2.1000e+07000.050.00
2.2000e+07000.050.00
2.3000e+07000.060.00
2.4000e+07000.070.00
2.5000e+07000.070.00
2.6000e+07000.080.00
2.7000e+07000.080.00
2.8000e+07000.090.00
2.9000e+07000.100.00
3.0000e+07000.110.00
3.1000e+07000.110.00
3.2000e+07000.120.00
3.3000e+07000.130.00
3.4000e+07000.140.00
3.5000e+07000.140.00
3.6000e+07000.150.00
3.7000e+07000.160.00
3.8000e+07000.170.00
3.9000e+07000.180.00
4.0000e+07000.190.00
4.1000e+07000.200.00
4.2000e+07000.210.00
4.3000e+07000.220.00
4.4000e+07000.230.00
4.5000e+07000.240.00
4.6000e+07000.250.00
4.7000e+0710-0.74-0.00
4.8000e+0710-0.73-0.00
4.9000e+0710-0.72-0.00
5.0000e+0710-0.71-0.00
5.2000e+0710-0.68-0.00
5.4000e+0710-0.66-0.00
5.6000e+0710-0.63-0.00
5.8000e+0710-0.61-0.00
6.0000e+0710-0.58-0.00
6.2000e+0710-0.55-0.00
6.4000e+0710-0.52-0.00
6.6000e+0711-0.49-0.00
6.8000e+0711-0.46-0.00
7.0000e+0711-0.43-0.00
7.2000e+0711-0.40-0.00
7.4000e+0711-0.37-0.00
7.6000e+0711-0.33-0.00
7.8000e+0711-0.30-0.00
8.0000e+0711-0.27-0.00
8.2000e+0711-0.23-0.00
8.4000e+0711-0.19-0.00
8.6000e+0711-0.16-0.00
8.8000e+0711-0.12-0.00
9.0000e+0711-0.08-0.00
9.2000e+0711-0.04-0.00
9.4000e+0711-0.00-0.00
9.6000e+07110.040.00
9.8000e+07110.080.00
1.0000e+08110.120.00
1.0500e+08110.230.00
1.1000e+08110.340.00
1.1500e+08110.450.00
1.2000e+0822-0.43-0.00
1.2500e+0832-1.30-0.00
1.3000e+0832-1.18-0.00
1.3500e+0842-2.05-0.00
1.4000e+0842-1.91-0.00
1.4500e+0842-1.77-0.00
1.5000e+0842-1.63-0.00
1.5500e+0843-1.49-0.00
1.6000e+0843-1.34-0.00
1.6500e+0843-1.19-0.00
1.7000e+0853-2.03-0.00
1.7500e+0863-2.87-0.00
1.8000e+0863-2.71-0.00
1.8500e+0863-2.54-0.00
1.9000e+0864-2.37-0.00
1.9500e+0864-2.20-0.00
2.0000e+0864-2.02-0.00
2.1000e+0864-1.66-0.00
2.2000e+0865-1.29-0.00
2.3000e+0875-1.90-0.00
2.4000e+0885-2.50-0.00
2.5000e+0896-3.09-0.00
2.6000e+0896-2.67-0.00
2.7000e+08117-4.24-0.01
2.8000e+08127-4.80-0.01
2.9000e+08128-4.34-0.00
3.0000e+08138-4.88-0.01
3.1000e+08139-4.40-0.00
3.2000e+08159-5.91-0.01
3.3000e+081610-6.42-0.01
3.4000e+081710-6.91-0.01
3.5000e+081711-6.39-0.01
3.6000e+081811-6.86-0.01
3.7000e+081912-7.33-0.01
3.8000e+081912-6.78-0.01
3.9000e+082113-8.22-0.01
4.0000e+082113-7.66-0.01
4.1000e+082114-7.08-0.01
4.2000e+082115-6.50-0.01
4.3000e+082115-5.91-0.01
4.4000e+082116-5.31-0.01
4.5000e+082116-4.69-0.00
4.6000e+082217-5.08-0.00
4.7000e+082218-4.45-0.00
4.8000e+082218-3.81-0.00
4.9000e+082219-3.17-0.00
5.0000e+082219-2.51-0.00
5.2000e+082521-4.18-0.00
5.4000e+082722-4.82-0.00
5.6000e+082824-4.42-0.00
5.8000e+083125-5.99-0.01
6.0000e+083326-6.54-0.01
6.2000e+083428-6.05-0.00
6.4000e+083529-5.53-0.00
6.6000e+083631-4.98-0.00
6.8000e+084033-7.41-0.01
7.0000e+084134-6.81-0.01
7.2000e+084236-6.17-0.00
7.4000e+084437-6.52-0.00
7.6000e+084539-5.83-0.00
7.8000e+084641-5.12-0.00
8.0000e+084843-5.38-0.00
8.2000e+084844-3.62-0.00
8.4000e+085246-5.83-0.00
8.6000e+085348-5.01-0.00
8.8000e+085750-7.17-0.00
9.0000e+086052-8.31-0.01
9.2000e+086254-8.42-0.01
9.4000e+086355-7.51-0.01
9.6000e+086457-6.58-0.00
9.8000e+086959-9.62-0.01
1.0000e+097361-11.64-0.01
1.0500e+097966-12.58-0.01
1.1000e+098572-13.39-0.01
1.1500e+099177-14.06-0.01
1.2000e+099682-13.61-0.01
1.2500e+0910488-16.02-0.01
1.3000e+0911194-17.31-0.01
1.3500e+09121100-21.47-0.01
1.4000e+09130105-24.52-0.01
1.4500e+09140112-28.44-0.02
1.5000e+09147118-29.26-0.02
1.5500e+09151124-26.96-0.01
1.6000e+09158130-27.55-0.01
1.6500e+09164137-27.03-0.01
1.7000e+09169144-25.40-0.01
1.7500e+09174150-23.67-0.01
1.8000e+09180157-22.84-0.01
1.8500e+09187164-22.91-0.01
1.9000e+09200171-28.87-0.01
1.9500e+09207178-28.74-0.01
2.0000e+09221185-35.52-0.02
2.1000e+09232200-31.78-0.01
2.2000e+09249215-33.67-0.02
2.3000e+09264231-33.21-0.01
2.4000e+09282247-35.40-0.02
2.5000e+09296263-33.25-0.01
2.6000e+09308279-28.76-0.01
2.7000e+09332296-35.96-0.02
2.8000e+09346313-32.84-0.01
2.9000e+09357331-26.41-0.01
3.0000e+09382348-33.68-0.01
3.1000e+09404366-37.66-0.01
3.2000e+09423385-38.35-0.01
3.3000e+09437403-33.75-0.01
3.4000e+09455422-32.88-0.01
3.5000e+09474441-32.73-0.01
3.6000e+09497461-36.32-0.01
3.7000e+09515480-34.64-0.01
3.8000e+09539500-38.71-0.01
3.9000e+09565520-44.52-0.02
4.0000e+09584541-43.08-0.02
4.1000e+09608562-46.40-0.02
4.2000e+09625583-42.48-0.01
4.3000e+09650604-46.32-0.02
4.4000e+09664625-38.92-0.01
4.5000e+09684647-37.30-0.01
4.6000e+09711669-42.45-0.01
4.7000e+09728691-37.37-0.01
4.8000e+09746713-33.07-0.01
4.9000e+09770735-34.56-0.01
5.0000e+09785758-26.83-0.01
5.2000e+09827804-22.74-0.01
5.4000e+09884851-32.82-0.01
5.6000e+09923899-24.09-0.01
5.8000e+09968947-20.58-0.01
6.0000e+091023997-26.30-0.01
6.2000e+0910671047-20.27-0.01
6.4000e+0911171097-19.51-0.01
6.6000e+0911621149-13.02-0.00
6.8000e+0912221201-20.83-0.01
7.0000e+0912701254-15.95-0.00
7.2000e+0913081308-0.39-0.00
7.4000e+091346136215.830.00
7.6000e+091404141712.700.00
7.8000e+091461147211.210.00
8.0000e+091514152814.360.00
8.2000e+091564158521.120.01
8.4000e+091623164219.490.00
8.6000e+091681170019.450.00
8.8000e+091741175918.010.00
9.0000e+091805181813.140.00
9.2000e+09186918788.850.00
9.4000e+091915193823.120.01
9.6000e+09199019998.940.00
9.8000e+0920672060-6.70-0.00
1.0000e+1021232122-0.79-0.00
1.0500e+1022802279-0.73-0.00
1.1000e+102429244010.540.00
1.1500e+1026152603-12.09-0.00
1.2000e+1027912769-21.71-0.00
1.2500e+1029762939-37.42-0.01
1.3000e+1031583111-47.28-0.01
1.3500e+1033233286-37.39-0.01
1.4000e+1035103463-46.81-0.01
1.4500e+1036863643-42.61-0.01
1.5000e+1038793826-52.86-0.01
1.5500e+1040714011-59.62-0.01
1.6000e+1042794199-79.93-0.01
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