Gap size : 114 (r=57)

Generated by program gapCounts : Mon Jun 27 12:45:14 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+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+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+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+05000.010.00
2.0000e+05000.010.00
2.1000e+05000.010.00
2.2000e+05000.010.00
2.3000e+05000.010.00
2.4000e+05000.010.00
2.5000e+05000.010.00
2.6000e+05000.010.00
2.7000e+05000.010.00
2.8000e+05000.010.00
2.9000e+05000.010.00
3.0000e+05000.020.00
3.1000e+05000.020.00
3.2000e+05000.020.00
3.3000e+05000.020.00
3.4000e+05000.020.00
3.5000e+05000.020.00
3.6000e+05000.020.00
3.7000e+05000.020.00
3.8000e+05000.030.00
3.9000e+05000.030.00
4.0000e+05000.030.00
4.1000e+05000.030.00
4.2000e+05000.030.00
4.3000e+05000.040.00
4.4000e+05000.040.00
4.5000e+05000.040.00
4.6000e+05000.040.00
4.7000e+05000.040.00
4.8000e+05000.050.00
4.9000e+05000.050.00
5.0000e+0510-0.95-0.02
5.2000e+0510-0.95-0.02
5.4000e+0510-0.94-0.02
5.6000e+0510-0.94-0.02
5.8000e+0510-0.93-0.02
6.0000e+0510-0.93-0.02
6.2000e+0510-0.92-0.02
6.4000e+0510-0.91-0.02
6.6000e+0510-0.91-0.01
6.8000e+0510-0.90-0.01
7.0000e+0510-0.90-0.01
7.2000e+0510-0.89-0.01
7.4000e+0510-0.88-0.01
7.6000e+0510-0.88-0.01
7.8000e+0510-0.87-0.01
8.0000e+0510-0.86-0.01
8.2000e+0510-0.85-0.01
8.4000e+0510-0.85-0.01
8.6000e+0510-0.84-0.01
8.8000e+0510-0.83-0.01
9.0000e+0510-0.82-0.01
9.2000e+0510-0.81-0.01
9.4000e+0510-0.81-0.01
9.6000e+0510-0.80-0.01
9.8000e+0510-0.79-0.01
1.0000e+0610-0.78-0.01
1.0500e+0610-0.76-0.01
1.1000e+0610-0.73-0.01
1.1500e+0610-0.71-0.01
1.2000e+0610-0.68-0.01
1.2500e+0610-0.65-0.01
1.3000e+0610-0.63-0.01
1.3500e+0610-0.60-0.01
1.4000e+0610-0.57-0.01
1.4500e+0610-0.54-0.01
1.5000e+0611-0.50-0.01
1.5500e+0611-0.47-0.01
1.6000e+0611-0.44-0.00
1.6500e+0611-0.40-0.00
1.7000e+0611-0.37-0.00
1.7500e+0611-0.33-0.00
1.8000e+0611-0.29-0.00
1.8500e+0611-0.26-0.00
1.9000e+0611-0.22-0.00
1.9500e+0611-0.18-0.00
2.0000e+0611-0.14-0.00
2.1000e+0611-0.05-0.00
2.2000e+06110.030.00
2.3000e+06110.120.00
2.4000e+06110.210.00
2.5000e+06110.310.00
2.6000e+06110.410.00
2.7000e+06120.510.00
2.8000e+06120.610.01
2.9000e+06120.720.01
3.0000e+06120.830.01
3.1000e+06120.940.01
3.2000e+06121.060.01
3.3000e+06121.170.01
3.4000e+06121.290.01
3.5000e+06121.420.01
3.6000e+06131.540.01
3.7000e+06131.670.01
3.8000e+06131.800.01
3.9000e+06131.930.01
4.0000e+06132.060.02
4.1000e+06132.200.02
4.2000e+06231.340.01
4.3000e+06330.480.00
4.4000e+06340.620.00
4.5000e+06340.770.01
4.6000e+06340.910.01
4.7000e+06341.060.01
4.8000e+06341.220.01
4.9000e+06341.370.01
5.0000e+06351.520.01
5.2000e+06351.840.01
5.4000e+06352.170.01
5.6000e+06362.500.02
5.8000e+06362.840.02
6.0000e+06363.190.02
6.2000e+06472.550.02
6.4000e+06571.910.01
6.6000e+06572.280.01
6.8000e+06582.660.02
7.0000e+06682.040.01
7.2000e+06682.430.01
7.4000e+06692.830.02
7.6000e+06693.230.02
7.8000e+067102.640.01
8.0000e+068102.050.01
8.2000e+068102.480.01
8.4000e+069111.900.01
8.6000e+0610111.340.01
8.8000e+0610121.780.01
9.0000e+0610122.220.01
9.2000e+0610132.670.01
9.4000e+0610133.130.02
9.6000e+0611142.590.01
9.8000e+0611143.060.02
1.0000e+0711153.540.02
1.0500e+0712163.740.02
1.1000e+0713173.980.02
1.1500e+0717181.250.01
1.2000e+072020-0.45-0.00
1.2500e+072121-0.12-0.00
1.3000e+072322-0.76-0.00
1.3500e+072424-0.37-0.00
1.4000e+072625-0.95-0.00
1.4500e+072926-2.51-0.01
1.5000e+073428-6.04-0.03
1.5500e+073429-4.54-0.02
1.6000e+073731-6.02-0.02
1.6500e+073733-4.48-0.02
1.7000e+073834-3.91-0.02
1.7500e+074036-4.32-0.02
1.8000e+074137-3.70-0.01
1.8500e+074239-3.06-0.01
1.9000e+074241-1.40-0.01
1.9500e+074542-2.72-0.01
2.0000e+074644-2.01-0.01
2.1000e+074947-1.54-0.01
2.2000e+075251-0.99-0.00
2.3000e+075655-1.36-0.00
2.4000e+076058-1.65-0.01
2.5000e+076362-0.86-0.00
2.6000e+076666-0.01-0.00
2.7000e+0766703.920.01
2.8000e+0772741.920.01
2.9000e+0775782.980.01
3.0000e+0779823.110.01
3.1000e+0779867.300.02
3.2000e+0787913.550.01
3.3000e+0790954.860.01
3.4000e+0797992.240.01
3.5000e+07981045.670.02
3.6000e+071021086.160.02
3.7000e+071071135.700.02
3.8000e+071121175.300.02
3.9000e+071201221.950.01
4.0000e+071251271.660.00
4.1000e+07132131-0.59-0.00
4.2000e+071351361.220.00
4.3000e+07143141-1.92-0.01
4.4000e+07148146-2.02-0.01
4.5000e+07155151-4.06-0.01
4.6000e+07161156-5.06-0.01
4.7000e+07166161-5.02-0.01
4.8000e+07170166-3.92-0.01
4.9000e+07177171-5.79-0.01
5.0000e+07184176-7.60-0.02
5.2000e+07201187-14.11-0.03
5.4000e+07212198-14.44-0.03
5.6000e+07223208-14.61-0.03
5.8000e+07239219-19.62-0.05
6.0000e+07248231-17.48-0.04
6.2000e+07263242-21.18-0.05
6.4000e+07270253-16.73-0.04
6.6000e+07282265-17.14-0.04
6.8000e+07300277-23.41-0.05
7.0000e+07311288-22.54-0.05
7.2000e+07319300-18.53-0.04
7.4000e+07330313-17.39-0.04
7.6000e+07344325-19.13-0.04
7.8000e+07348337-10.73-0.02
8.0000e+07359350-9.21-0.02
8.2000e+07366362-3.57-0.01
8.4000e+07378375-2.81-0.01
8.6000e+07389388-0.93-0.00
8.8000e+074004011.060.00
9.0000e+07415414-0.83-0.00
9.2000e+07428427-0.62-0.00
9.4000e+074384412.710.01
9.6000e+074504544.140.01
9.8000e+074654682.680.00
1.0000e+08487481-5.67-0.01
1.0500e+085145161.880.00
1.1000e+085495512.050.00
1.1500e+08587587-0.19-0.00
1.2000e+08631623-7.86-0.01
1.2500e+08669660-8.98-0.01
1.3000e+086936974.440.01
1.3500e+087317354.380.01
1.4000e+08778774-4.18-0.01
1.4500e+08822813-9.25-0.01
1.5000e+08864852-11.84-0.02
1.5500e+08907892-14.97-0.02
1.6000e+08958932-25.66-0.04
1.6500e+081006973-32.90-0.05
1.7000e+0810491014-34.72-0.05
1.7500e+0810921056-36.12-0.05
1.8000e+0811301098-32.11-0.05
1.8500e+0811641140-23.70-0.03
1.9000e+0812051183-21.91-0.03
1.9500e+0812431226-16.73-0.02
2.0000e+0812881270-18.18-0.02
2.1000e+0813681358-9.99-0.01
2.2000e+0814591448-11.41-0.01
2.3000e+08153615392.540.00
2.4000e+081619163111.780.01
2.5000e+081713172411.270.01
2.6000e+081808181910.990.01
2.7000e+081903191511.870.01
2.8000e+08200620125.900.01
2.9000e+0821262110-15.97-0.02
3.0000e+0822242209-14.77-0.02
3.1000e+08230723092.480.00
3.2000e+08240424116.740.01
3.3000e+082499251313.980.02
3.4000e+08260926167.190.01
3.5000e+0827262720-5.66-0.01
3.6000e+0828372825-11.60-0.01
3.7000e+0829502931-18.65-0.02
3.8000e+0830573038-18.82-0.02
3.9000e+0831593146-13.14-0.01
4.0000e+0832923254-37.62-0.04
4.1000e+0834003364-36.29-0.04
4.2000e+0835123474-38.16-0.04
4.3000e+0836133585-28.24-0.03
4.4000e+0837333696-36.55-0.03
4.5000e+0838453809-36.12-0.03
4.6000e+0839653922-42.94-0.04
4.7000e+0840814036-45.04-0.04
4.8000e+0841984151-47.42-0.04
4.9000e+0843114266-45.11-0.04
5.0000e+0844434382-61.11-0.05
5.2000e+0846894616-73.10-0.06
5.4000e+0849244853-71.48-0.06
5.6000e+0851405092-48.33-0.04
5.8000e+0853735333-39.73-0.03
6.0000e+0856175577-39.75-0.03
6.2000e+0858815824-57.47-0.05
6.4000e+0861376072-64.95-0.05
6.6000e+0863836323-60.25-0.05
6.8000e+0866306576-54.42-0.04
7.0000e+0868886830-57.52-0.04
7.2000e+0871207087-32.61-0.02
7.4000e+0873697346-22.73-0.02
7.6000e+0876187607-10.92-0.01
7.8000e+087847787022.760.02
8.0000e+088083813451.280.04
8.2000e+088336840164.590.05
8.4000e+088618866950.660.04
8.6000e+088921893817.450.01
8.8000e+089184921025.920.02
9.0000e+08947794836.040.00
9.2000e+08974897589.790.01
9.4000e+081004010034-5.88-0.00
9.6000e+081033610312-23.99-0.02
9.8000e+081059510591-3.57-0.00
1.0000e+091089210872-19.65-0.01
1.0500e+0911580115811.040.00
1.1000e+091230312299-4.42-0.00
1.1500e+091308613025-61.42-0.04
1.2000e+091388113759-122.26-0.07
1.2500e+091458714501-86.26-0.05
1.3000e+091533315250-82.69-0.05
1.3500e+091607916007-71.82-0.04
1.4000e+091680316771-31.88-0.02
1.4500e+091755917542-17.11-0.01
1.5000e+091833118319-11.71-0.01
1.5500e+091915619103-52.87-0.03
1.6000e+091994019893-46.80-0.02
1.6500e+092075420689-64.66-0.03
1.7000e+092152421491-32.61-0.02
1.7500e+092233522299-35.82-0.02
1.8000e+0923108231134.560.00
1.8500e+092393723931-5.59-0.00
1.9000e+092477624756-20.42-0.01
1.9500e+092558925585-4.05-0.00
2.0000e+0926413264196.400.00
2.1000e+09280832810320.070.01
2.2000e+09297872980618.740.01
2.3000e+09315113152715.630.01
2.4000e+093328533265-19.99-0.01
2.5000e+093505435020-33.77-0.01
2.6000e+09367723679219.670.01
2.7000e+093863638579-57.25-0.02
2.8000e+094038340381-2.04-0.00
2.9000e+094224542198-47.21-0.02
3.0000e+094408844029-59.21-0.02
3.1000e+094596245874-88.47-0.03
3.2000e+094785347732-121.41-0.05
3.3000e+094982149603-218.40-0.08
3.4000e+095167651486-189.80-0.07
3.5000e+095359553382-212.95-0.08
3.6000e+095550755290-217.18-0.08
3.7000e+095747957209-269.79-0.10
3.8000e+095948559140-345.07-0.12
3.9000e+096143461082-352.29-0.12
4.0000e+096333063034-295.71-0.10
4.1000e+096525664997-258.59-0.09
4.2000e+096730466971-333.16-0.11
4.3000e+096928568954-330.64-0.11
4.4000e+097121470948-266.25-0.09
4.5000e+097325372951-302.21-0.10
4.6000e+097527274963-308.70-0.10
4.7000e+097729076985-304.93-0.10
4.8000e+097932479016-308.06-0.10
4.9000e+098133881056-282.28-0.09
5.0000e+098332983104-224.76-0.07
5.2000e+098738187227-154.12-0.05
5.4000e+099155091383-167.37-0.05
5.6000e+099566095570-89.65-0.03
5.8000e+099994699789-157.02-0.05
6.0000e+09104100104038-62.47-0.02
6.2000e+09108457108315-141.94-0.04
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