Gap size : 160 (r=80)

Generated by program gapCounts : Mon Jun 27 12:46:18 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+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+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+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+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+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+05000.000.00
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+06000.010.00
2.2000e+06000.010.00
2.3000e+06000.010.00
2.4000e+06000.010.00
2.5000e+06000.010.00
2.6000e+06000.010.00
2.7000e+06000.010.00
2.8000e+06000.010.00
2.9000e+06000.010.00
3.0000e+06000.010.00
3.1000e+06000.010.00
3.2000e+06000.010.00
3.3000e+06000.020.00
3.4000e+06000.020.00
3.5000e+06000.020.00
3.6000e+06000.020.00
3.7000e+06000.020.00
3.8000e+06000.020.00
3.9000e+06000.020.00
4.0000e+06000.020.00
4.1000e+06000.020.00
4.2000e+06000.030.00
4.3000e+06000.030.00
4.4000e+06000.030.00
4.5000e+06000.030.00
4.6000e+06000.030.00
4.7000e+06000.030.00
4.8000e+06000.040.00
4.9000e+06000.040.00
5.0000e+06000.040.00
5.2000e+06000.040.00
5.4000e+06000.050.00
5.6000e+06000.050.00
5.8000e+06000.050.00
6.0000e+06000.060.00
6.2000e+06000.060.00
6.4000e+06000.060.00
6.6000e+06000.070.00
6.8000e+06000.070.00
7.0000e+06000.080.00
7.2000e+06000.080.00
7.4000e+06000.090.00
7.6000e+06000.090.00
7.8000e+06000.100.00
8.0000e+06000.100.00
8.2000e+06000.110.00
8.4000e+06000.110.00
8.6000e+06000.120.00
8.8000e+06000.120.00
9.0000e+06000.130.00
9.2000e+06000.140.00
9.4000e+06000.140.00
9.6000e+06000.150.00
9.8000e+06000.150.00
1.0000e+07000.160.00
1.0500e+07000.180.00
1.1000e+07000.190.00
1.1500e+07000.210.00
1.2000e+07000.230.00
1.2500e+07000.250.00
1.3000e+07000.270.00
1.3500e+07000.290.00
1.4000e+07000.310.00
1.4500e+07000.330.00
1.5000e+07000.360.00
1.5500e+07000.380.00
1.6000e+07000.400.00
1.6500e+07000.430.00
1.7000e+07000.450.00
1.7500e+07000.480.00
1.8000e+07010.510.00
1.8500e+07010.530.00
1.9000e+07010.560.00
1.9500e+07010.590.00
2.0000e+07010.620.00
2.1000e+07010.680.00
2.2000e+07010.740.00
2.3000e+07010.800.00
2.4000e+07010.870.00
2.5000e+07010.930.00
2.6000e+07011.000.00
2.7000e+07011.080.00
2.8000e+07011.150.00
2.9000e+07011.230.00
3.0000e+07011.300.00
3.1000e+07011.380.00
3.2000e+07011.470.00
3.3000e+07021.550.00
3.4000e+07120.640.00
3.5000e+07120.720.00
3.6000e+07120.810.00
3.7000e+07120.900.00
3.8000e+07121.000.00
3.9000e+07121.090.00
4.0000e+07121.190.00
4.1000e+07121.290.00
4.2000e+07121.390.00
4.3000e+07121.490.00
4.4000e+07131.590.00
4.5000e+07131.700.00
4.6000e+07131.800.00
4.7000e+07131.910.00
4.8000e+07132.020.01
4.9000e+07132.130.01
5.0000e+07132.240.01
5.2000e+07132.470.01
5.4000e+07241.710.00
5.6000e+07241.950.00
5.8000e+07242.200.01
6.0000e+07242.450.01
6.2000e+07252.710.01
6.4000e+07252.980.01
6.6000e+07352.250.00
6.8000e+07362.520.01
7.0000e+07362.800.01
7.2000e+07462.090.00
7.4000e+07462.380.01
7.6000e+07472.680.01
7.8000e+07472.980.01
8.0000e+07572.280.00
8.2000e+07780.590.00
8.4000e+07780.910.00
8.6000e+07880.230.00
8.8000e+07890.550.00
9.0000e+0799-0.12-0.00
9.2000e+07990.220.00
9.4000e+071110-1.44-0.00
9.6000e+071110-1.10-0.00
9.8000e+071110-0.75-0.00
1.0000e+081111-0.40-0.00
1.0500e+0811110.500.00
1.1000e+0812120.420.00
1.1500e+0812131.370.00
1.2000e+0814140.340.00
1.2500e+0815150.340.00
1.3000e+0815161.360.00
1.3500e+0816171.410.00
1.4000e+081918-0.52-0.00
1.4500e+082120-1.43-0.00
1.5000e+082121-0.32-0.00
1.5500e+082222-0.19-0.00
1.6000e+082323-0.04-0.00
1.6500e+082524-0.86-0.00
1.7000e+0825250.330.00
1.7500e+0826270.540.00
1.8000e+0827280.780.00
1.8500e+0828291.030.00
1.9000e+0829301.300.00
1.9500e+083232-0.41-0.00
2.0000e+083333-0.10-0.00
2.1000e+083736-1.44-0.00
2.2000e+0838380.300.00
2.3000e+0838413.110.00
2.4000e+0839444.980.01
2.5000e+0843473.910.00
2.6000e+0846503.910.00
2.7000e+0850532.970.00
2.8000e+0855561.080.00
2.9000e+0858591.260.00
3.0000e+0861621.490.00
3.1000e+0862663.780.00
3.2000e+0864695.120.01
3.3000e+0865737.520.01
3.4000e+0868767.960.01
3.5000e+0870799.460.01
3.6000e+08738310.010.01
3.7000e+08768710.610.01
3.8000e+0883907.260.01
3.9000e+0886947.950.01
4.0000e+0888989.700.01
4.1000e+089010111.480.01
4.2000e+089210513.320.01
4.3000e+089510914.190.01
4.4000e+0810011313.120.01
4.5000e+0810211715.080.01
4.6000e+0810312118.090.02
4.7000e+0811012515.140.01
4.8000e+0811412915.230.01
4.9000e+0811913314.360.01
5.0000e+0812213815.540.01
5.2000e+0813114615.000.01
5.4000e+081471557.620.01
5.6000e+081621631.390.00
5.8000e+081691723.310.00
6.0000e+081741817.370.01
6.2000e+081831917.580.01
6.4000e+081932006.920.01
6.6000e+082032096.390.01
6.8000e+082132196.000.00
7.0000e+0821822910.740.01
7.2000e+0822423914.600.01
7.4000e+0823424914.590.01
7.6000e+082492599.700.01
7.8000e+0825726911.930.01
8.0000e+0826727912.280.01
8.2000e+0827429015.740.01
8.4000e+0828230018.320.01
8.6000e+0829531116.000.01
8.8000e+0830432217.800.01
9.0000e+0831233320.710.01
9.2000e+0832334420.720.01
9.4000e+0833335521.840.01
9.6000e+0834536621.060.01
9.8000e+0835337724.380.02
1.0000e+0936038928.800.02
1.0500e+0938641831.780.02
1.1000e+0941344734.370.02
1.1500e+0944247835.520.02
1.2000e+0947050838.240.02
1.2500e+0950153938.500.02
1.3000e+0953457137.290.02
1.3500e+0956060443.580.02
1.4000e+0959563641.380.02
1.4500e+0962967040.660.02
1.5000e+0966070343.420.02
1.5500e+0969373844.630.02
1.6000e+0972577247.300.03
1.6500e+0976280745.410.02
1.7000e+0980384339.940.02
1.7500e+0983487944.900.02
1.8000e+0987591540.270.02
1.8500e+0990795245.050.02
1.9000e+0994398946.220.02
1.9500e+09979102747.780.02
2.0000e+091012106552.720.03
2.1000e+091090114251.710.02
2.2000e+091175122045.150.02
2.3000e+091259130040.970.02
2.4000e+091344138137.150.02
2.5000e+091426146437.630.02
2.6000e+091501154746.380.02
2.7000e+091594163238.350.02
2.8000e+091688171930.520.01
2.9000e+091759180646.850.02
3.0000e+091850189444.310.02
3.1000e+091939198444.880.02
3.2000e+092040207534.520.01
3.3000e+092139216627.210.01
3.4000e+092226225932.930.01
3.5000e+092302235350.650.02
3.6000e+092396244751.350.02
3.7000e+092504254339.010.01
3.8000e+092603264036.610.01
3.9000e+092694273743.140.02
4.0000e+092796283639.560.01
4.1000e+092883293551.870.02
4.2000e+092974303561.050.02
4.3000e+093071313665.080.02
4.4000e+093184323853.940.02
4.5000e+093276334164.630.02
4.6000e+093398344446.130.02
4.7000e+093504354844.420.01
4.8000e+093605365348.500.02
4.9000e+093696375963.340.02
5.0000e+093826386639.940.01
5.2000e+094020408161.360.02
5.4000e+094242430057.670.02
5.6000e+094469452151.780.02
5.8000e+094700474544.620.01
6.0000e+094927497144.120.01
6.2000e+095173520027.190.01
6.4000e+095409543222.790.01
6.6000e+09565656669.840.00
6.8000e+0959095902-6.72-0.00
7.0000e+096124614117.070.00
7.2000e+09637563827.140.00
7.4000e+0966326625-6.55-0.00
7.6000e+0969096871-38.05-0.01
7.8000e+0971657119-46.41-0.01
8.0000e+0974347368-65.66-0.02
8.2000e+0976847620-63.87-0.02
8.4000e+0979297874-55.05-0.01
8.6000e+0981778130-47.26-0.01
8.8000e+0984378387-49.52-0.01
9.0000e+0987178647-69.88-0.02
9.2000e+0989868909-77.36-0.02
9.4000e+0992609172-88.00-0.02
9.6000e+0995179437-79.84-0.02
9.8000e+0998069704-101.90-0.02
1.0000e+10100759973-102.20-0.02
1.0500e+101074010652-88.00-0.02
1.1000e+101142811342-86.46-0.02
1.1500e+101210412041-62.95-0.01
1.2000e+101277212750-21.82-0.00
1.2500e+101348013469-11.41-0.00
1.3000e+101422814196-32.02-0.01
1.3500e+101501514932-82.92-0.02
1.4000e+101575715677-80.39-0.02
1.4500e+101652716429-97.65-0.02
1.5000e+101728217190-91.96-0.02
1.5500e+101808517958-126.52-0.02
1.6000e+101878718734-52.54-0.01
1.6500e+101959019518-72.21-0.01
1.7000e+102039520308-86.72-0.02
1.7500e+102116921106-63.24-0.01
1.8000e+102196321910-52.93-0.01
1.8500e+102279522721-73.95-0.01
1.9000e+102361323539-74.45-0.01
1.9500e+102448224362-119.56-0.02
2.0000e+102530825193-115.44-0.02
2.1000e+102702226871-150.96-0.02
2.2000e+102875828573-184.99-0.03
2.3000e+103058230298-284.40-0.04
2.4000e+103232632044-282.01-0.04
2.5000e+103410233811-290.59-0.04
2.6000e+103579335599-193.84-0.03
2.7000e+103756237407-155.40-0.02
2.8000e+103935239233-118.89-0.02
2.9000e+104117341078-94.88-0.01
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