Gap size : 190 (r=95)

Generated by program gapCounts : Mon Jun 27 12:56:13 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+020-0-0.00-0.00
5.0000e+020-0-0.00-0.00
6.0000e+020-0-0.00-0.00
7.0000e+020-0-0.00-0.00
8.0000e+020-0-0.00-0.00
9.0000e+020-0-0.00-0.00
1.0000e+030-0-0.00-0.00
1.1000e+030-0-0.00-0.00
1.2000e+030-0-0.00-0.00
1.3000e+030-0-0.00-0.00
1.4000e+030-0-0.00-0.00
1.5000e+030-0-0.00-0.00
1.6000e+030-0-0.00-0.00
1.7000e+030-0-0.00-0.00
1.8000e+030-0-0.00-0.00
1.9000e+030-0-0.00-0.00
2.0000e+030-0-0.00-0.00
2.1000e+030-0-0.00-0.00
2.2000e+030-0-0.00-0.00
2.3000e+030-0-0.00-0.00
2.4000e+030-0-0.00-0.00
2.5000e+030-0-0.00-0.00
2.6000e+030-0-0.00-0.00
2.7000e+030-0-0.00-0.00
2.8000e+030-0-0.00-0.00
2.9000e+030-0-0.00-0.00
3.0000e+030-0-0.00-0.00
3.1000e+030-0-0.00-0.00
3.2000e+030-0-0.00-0.00
3.3000e+030-0-0.00-0.00
3.4000e+030-0-0.00-0.00
3.5000e+030-0-0.00-0.00
3.6000e+030-0-0.00-0.00
3.7000e+030-0-0.00-0.00
3.8000e+030-0-0.00-0.00
3.9000e+030-0-0.00-0.00
4.0000e+030-0-0.00-0.00
4.1000e+030-0-0.00-0.00
4.2000e+030-0-0.00-0.00
4.3000e+030-0-0.00-0.00
4.4000e+030-0-0.00-0.00
4.5000e+030-0-0.00-0.00
4.6000e+030-0-0.00-0.00
4.7000e+030-0-0.00-0.00
4.8000e+030-0-0.00-0.00
4.9000e+030-0-0.00-0.00
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+030-0-0.00-0.00
6.2000e+030-0-0.00-0.00
6.4000e+030-0-0.00-0.00
6.6000e+030-0-0.00-0.00
6.8000e+030-0-0.00-0.00
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+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+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+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+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+06000.000.00
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+07000.010.00
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+07000.030.00
1.6000e+07000.040.00
1.6500e+07000.040.00
1.7000e+07000.040.00
1.7500e+07000.040.00
1.8000e+07000.050.00
1.8500e+07000.050.00
1.9000e+07000.050.00
1.9500e+07000.060.00
2.0000e+07000.060.00
2.1000e+07000.070.00
2.2000e+07000.070.00
2.3000e+07000.080.00
2.4000e+07000.090.00
2.5000e+07000.090.00
2.6000e+07000.100.00
2.7000e+07000.110.00
2.8000e+07000.120.00
2.9000e+07000.130.00
3.0000e+07000.140.00
3.1000e+07000.150.00
3.2000e+07000.160.00
3.3000e+07000.160.00
3.4000e+07000.170.00
3.5000e+07000.190.00
3.6000e+07000.200.00
3.7000e+07000.210.00
3.8000e+07000.220.00
3.9000e+07000.230.00
4.0000e+07000.240.00
4.1000e+07000.250.00
4.2000e+07000.270.00
4.3000e+07000.280.00
4.4000e+07000.290.00
4.5000e+07000.300.00
4.6000e+07000.320.00
4.7000e+07000.330.00
4.8000e+07000.340.00
4.9000e+07000.360.00
5.0000e+07000.370.00
5.2000e+07000.400.00
5.4000e+07000.430.00
5.6000e+07000.460.00
5.8000e+07000.490.00
6.0000e+07010.530.00
6.2000e+07010.560.00
6.4000e+07010.590.00
6.6000e+07010.630.00
6.8000e+07010.670.00
7.0000e+07010.700.00
7.2000e+07010.740.00
7.4000e+07010.780.00
7.6000e+07010.820.00
7.8000e+07010.860.00
8.0000e+07010.900.00
8.2000e+07010.950.00
8.4000e+07010.990.00
8.6000e+07011.030.00
8.8000e+07011.080.00
9.0000e+07011.120.00
9.2000e+07011.170.00
9.4000e+07011.220.00
9.6000e+07011.260.00
9.8000e+07011.310.00
1.0000e+08011.360.00
1.0500e+08011.490.00
1.1000e+08021.620.00
1.1500e+08021.760.00
1.2000e+08021.900.00
1.2500e+08022.040.00
1.3000e+08022.190.00
1.3500e+08022.340.00
1.4000e+08022.500.00
1.4500e+08131.660.00
1.5000e+08131.830.00
1.5500e+08131.990.00
1.6000e+08132.170.00
1.6500e+08132.340.00
1.7000e+08142.520.00
1.7500e+08142.710.00
1.8000e+08142.900.00
1.8500e+08143.090.00
1.9000e+08143.280.00
1.9500e+08143.480.00
2.0000e+08153.690.00
2.1000e+08154.100.01
2.2000e+08164.530.01
2.3000e+08263.970.01
2.4000e+08264.430.01
2.5000e+08274.890.01
2.6000e+08473.370.00
2.7000e+08681.860.00
2.8000e+08682.370.00
2.9000e+08692.880.00
3.0000e+08693.410.00
3.1000e+087102.950.00
3.2000e+088102.500.00
3.3000e+088113.060.00
3.4000e+088123.630.00
3.5000e+088124.210.00
3.6000e+088134.810.00
3.7000e+089134.410.00
3.8000e+0810144.020.00
3.9000e+0811153.640.00
4.0000e+0812153.280.00
4.1000e+0813162.920.00
4.2000e+0813173.570.00
4.3000e+0814173.230.00
4.4000e+0815182.900.00
4.5000e+0815193.590.00
4.6000e+0816193.280.00
4.7000e+0816203.970.00
4.8000e+0817213.680.00
4.9000e+0818213.400.00
5.0000e+0821221.120.00
5.2000e+082524-1.40-0.00
5.4000e+082625-0.89-0.00
5.6000e+082827-1.35-0.00
5.8000e+0828280.230.00
6.0000e+083030-0.16-0.00
6.2000e+0830311.480.00
6.4000e+0831332.140.00
6.6000e+0832352.840.00
6.8000e+0833373.570.00
7.0000e+0835383.330.00
7.2000e+0835405.120.00
7.4000e+0836425.940.00
7.6000e+0839444.780.00
7.8000e+0839466.650.00
8.0000e+0841486.550.00
8.2000e+0844495.470.00
8.4000e+0846515.420.00
8.6000e+0846537.400.01
8.8000e+0849556.400.00
9.0000e+0854573.420.00
9.2000e+0857592.480.00
9.4000e+0859622.550.00
9.6000e+0861642.650.00
9.8000e+0862663.770.00
1.0000e+0963684.920.00
1.0500e+0969734.390.00
1.1000e+0974795.000.00
1.1500e+0978856.750.00
1.2000e+0983917.630.00
1.2500e+0991975.640.00
1.3000e+09931039.780.01
1.3500e+099710912.040.01
1.4000e+0910411511.420.01
1.4500e+091141227.920.00
1.5000e+091201298.540.00
1.5500e+091291356.270.00
1.6000e+091351427.110.00
1.6500e+091421497.060.00
1.7000e+091541562.120.00
1.7500e+09164163-0.72-0.00
1.8000e+091681712.550.00
1.8500e+09181178-3.09-0.00
1.9000e+091851850.380.00
1.9500e+09194193-1.06-0.00
2.0000e+09205201-4.40-0.00
2.1000e+09222216-5.80-0.00
2.2000e+09238232-5.83-0.00
2.3000e+09251248-2.50-0.00
2.4000e+09266265-0.83-0.00
2.5000e+092812821.180.00
2.6000e+09306300-6.49-0.00
2.7000e+09323317-5.84-0.00
2.8000e+09347335-11.87-0.00
2.9000e+09367353-13.60-0.01
3.0000e+09388372-16.03-0.01
3.1000e+09421391-30.18-0.01
3.2000e+09439410-29.03-0.01
3.3000e+09461429-31.61-0.01
3.4000e+09482449-32.92-0.01
3.5000e+09497469-27.96-0.01
3.6000e+09517489-27.74-0.01
3.7000e+09548510-38.26-0.01
3.8000e+09560530-29.52-0.01
3.9000e+09577551-25.54-0.01
4.0000e+09604573-31.32-0.01
4.1000e+09625594-30.85-0.01
4.2000e+09646616-30.15-0.01
4.3000e+09668638-30.22-0.01
4.4000e+09690660-30.06-0.01
4.5000e+09707682-24.68-0.01
4.6000e+09732705-27.07-0.01
4.7000e+09762728-34.25-0.01
4.8000e+09779751-28.21-0.01
4.9000e+09808774-33.96-0.01
5.0000e+09827798-29.50-0.01
5.2000e+09874845-28.96-0.01
5.4000e+09926893-32.63-0.01
5.6000e+09991942-48.51-0.01
5.8000e+091051992-58.64-0.02
6.0000e+0911071043-64.02-0.02
6.2000e+0911561094-61.67-0.02
6.4000e+0912081146-61.62-0.02
6.6000e+0912611199-61.87-0.02
6.8000e+0913151253-62.44-0.02
7.0000e+0913691307-62.35-0.02
7.2000e+0914321361-70.60-0.02
7.4000e+0914821417-65.22-0.02
7.6000e+0915421473-69.21-0.02
7.8000e+0915991529-69.58-0.02
8.0000e+0916731587-86.36-0.02
8.2000e+0917361644-91.54-0.02
8.4000e+0918031703-100.13-0.02
8.6000e+0918701762-108.16-0.03
8.8000e+0919421821-120.62-0.03
9.0000e+0919981881-116.52-0.03
9.2000e+0920521942-109.88-0.03
9.4000e+0921142003-110.71-0.03
9.6000e+0921752065-110.01-0.03
9.8000e+0922322127-104.78-0.02
1.0000e+1022992190-109.04-0.03
1.0500e+1024412349-92.01-0.02
1.1000e+1025942511-82.92-0.02
1.1500e+1027692676-92.88-0.02
1.2000e+1029182844-73.98-0.02
1.2500e+1030893015-74.31-0.02
1.3000e+1032853188-96.96-0.02
1.3500e+1034813364-116.99-0.02
1.4000e+1036573543-114.48-0.02
1.4500e+1038443724-120.50-0.02
1.5000e+1040183907-111.10-0.02
1.5500e+1042214093-128.35-0.02
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