Gap size : 94 (r=47)

Generated by program gapCounts : Mon Jun 27 12:44:46 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+020-0-0.00-0.00
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+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+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+04000.010.00
9.2000e+04000.010.00
9.4000e+04000.010.00
9.6000e+04000.010.00
9.8000e+04000.010.00
1.0000e+05000.010.00
1.0500e+05000.010.00
1.1000e+05000.010.00
1.1500e+05000.010.00
1.2000e+05000.010.00
1.2500e+05000.010.00
1.3000e+05000.010.00
1.3500e+05000.010.00
1.4000e+05000.020.00
1.4500e+05000.020.00
1.5000e+05000.020.00
1.5500e+05000.020.00
1.6000e+05000.020.00
1.6500e+05000.020.00
1.7000e+05000.030.00
1.7500e+05000.030.00
1.8000e+05000.030.00
1.8500e+05000.030.00
1.9000e+05000.030.00
1.9500e+05000.030.00
2.0000e+05000.040.00
2.1000e+05000.040.00
2.2000e+05000.040.00
2.3000e+05000.050.00
2.4000e+05000.050.00
2.5000e+05000.060.00
2.6000e+05000.060.00
2.7000e+05000.070.00
2.8000e+05000.080.00
2.9000e+05000.080.00
3.0000e+05000.090.00
3.1000e+05000.090.00
3.2000e+05000.100.00
3.3000e+05000.110.00
3.4000e+05000.110.00
3.5000e+05000.120.00
3.6000e+05000.130.00
3.7000e+05000.140.00
3.8000e+05000.140.00
3.9000e+05000.150.00
4.0000e+05000.160.00
4.1000e+05000.170.00
4.2000e+05000.170.00
4.3000e+05000.180.00
4.4000e+05000.190.00
4.5000e+05000.200.00
4.6000e+05000.210.00
4.7000e+05000.220.00
4.8000e+05000.230.00
4.9000e+05000.240.00
5.0000e+05000.250.00
5.2000e+05000.270.00
5.4000e+05000.290.01
5.6000e+05000.310.01
5.8000e+05000.330.01
6.0000e+05000.350.01
6.2000e+05000.370.01
6.4000e+05000.400.01
6.6000e+05000.420.01
6.8000e+05000.450.01
7.0000e+05000.470.01
7.2000e+05010.500.01
7.4000e+05010.520.01
7.6000e+05010.550.01
7.8000e+05010.580.01
8.0000e+05010.600.01
8.2000e+05010.630.01
8.4000e+05010.660.01
8.6000e+05010.690.01
8.8000e+05010.720.01
9.0000e+05010.750.01
9.2000e+05010.780.01
9.4000e+05010.810.01
9.6000e+05010.840.01
9.8000e+05010.880.01
1.0000e+06010.910.01
1.0500e+06010.990.01
1.1000e+06011.080.01
1.1500e+06110.170.00
1.2000e+06110.260.00
1.2500e+06110.360.00
1.3000e+06110.450.01
1.3500e+06120.550.01
1.4000e+06120.650.01
1.4500e+06120.760.01
1.5000e+06120.860.01
1.5500e+06120.970.01
1.6000e+06220.080.00
1.6500e+06220.200.00
1.7000e+06220.310.00
1.7500e+06220.430.00
1.8000e+06230.550.01
1.8500e+06230.670.01
1.9000e+06230.800.01
1.9500e+06230.920.01
2.0000e+06231.050.01
2.1000e+06330.310.00
2.2000e+06340.580.01
2.3000e+0644-0.15-0.00
2.4000e+0654-0.87-0.01
2.5000e+0664-1.58-0.01
2.6000e+0665-1.28-0.01
2.7000e+0665-0.98-0.01
2.8000e+0675-1.67-0.01
2.9000e+0676-1.35-0.01
3.0000e+0686-2.03-0.02
3.1000e+0686-1.71-0.01
3.2000e+0697-2.38-0.02
3.3000e+0697-2.04-0.02
3.4000e+0697-1.69-0.01
3.5000e+0698-1.35-0.01
3.6000e+0698-0.99-0.01
3.7000e+0698-0.63-0.00
3.8000e+0699-0.27-0.00
3.9000e+06109-0.90-0.01
4.0000e+06109-0.53-0.00
4.1000e+061010-0.15-0.00
4.2000e+0610100.240.00
4.3000e+061111-0.37-0.00
4.4000e+061211-0.98-0.01
4.5000e+061211-0.58-0.00
4.6000e+061212-0.18-0.00
4.7000e+0612120.220.00
4.8000e+061313-0.37-0.00
4.9000e+061413-0.95-0.01
5.0000e+061413-0.53-0.00
5.2000e+0614140.320.00
5.4000e+0614151.180.01
5.6000e+0614162.060.01
5.8000e+0614172.960.02
6.0000e+0615182.870.02
6.2000e+0616192.800.02
6.4000e+0618201.730.01
6.6000e+0618212.690.02
6.8000e+0619222.650.02
7.0000e+0621231.630.01
7.2000e+0621242.630.02
7.4000e+0622252.630.02
7.6000e+0622263.650.02
7.8000e+0625271.680.01
8.0000e+062828-0.28-0.00
8.2000e+0628290.770.00
8.4000e+0629300.830.00
8.6000e+063231-1.09-0.01
8.8000e+063232-0.01-0.00
9.0000e+063433-0.91-0.00
9.2000e+063634-1.80-0.01
9.4000e+063735-1.68-0.01
9.6000e+063736-0.56-0.00
9.8000e+063838-0.42-0.00
1.0000e+073939-0.27-0.00
1.0500e+0740421.640.01
1.1000e+0744450.610.00
1.1500e+074948-1.36-0.01
1.2000e+075151-0.28-0.00
1.2500e+075654-2.15-0.01
1.3000e+075957-1.96-0.01
1.3500e+076260-1.72-0.01
1.4000e+076564-1.44-0.01
1.4500e+076767-0.11-0.00
1.5000e+0770700.270.00
1.5500e+0773740.690.00
1.6000e+0777770.150.00
1.6500e+078381-2.34-0.01
1.7000e+078884-3.80-0.02
1.7500e+078988-1.21-0.00
1.8000e+079391-1.58-0.01
1.8500e+079695-0.92-0.00
1.9000e+079999-0.22-0.00
1.9500e+071011031.520.01
2.0000e+071041062.290.01
2.1000e+07115114-1.05-0.00
2.2000e+07126122-4.27-0.02
2.3000e+07133130-3.35-0.01
2.4000e+07145138-7.31-0.03
2.5000e+07156146-10.14-0.03
2.6000e+07167154-12.86-0.04
2.7000e+07174163-11.47-0.04
2.8000e+07182171-10.97-0.04
2.9000e+07189180-9.36-0.03
3.0000e+07195188-6.64-0.02
3.1000e+07202197-4.83-0.01
3.2000e+07207206-0.92-0.00
3.3000e+07217215-1.91-0.01
3.4000e+072242240.180.00
3.5000e+07236233-2.63-0.01
3.6000e+07249243-6.35-0.02
3.7000e+07258252-5.99-0.02
3.8000e+07273261-11.54-0.03
3.9000e+07285271-14.01-0.04
4.0000e+07299281-18.40-0.05
4.1000e+07309290-18.72-0.05
4.2000e+07323300-22.95-0.06
4.3000e+07331310-21.11-0.06
4.4000e+07340320-20.20-0.05
4.5000e+07343330-13.21-0.03
4.6000e+07350340-10.15-0.03
4.7000e+07354350-4.03-0.01
4.8000e+07363360-2.83-0.01
4.9000e+07371370-0.57-0.00
5.0000e+07383381-2.24-0.01
5.2000e+07402402-0.38-0.00
5.4000e+074214231.720.00
5.6000e+074444440.070.00
5.8000e+07468466-2.35-0.01
6.0000e+07488487-0.54-0.00
6.2000e+07512509-2.51-0.01
6.4000e+07532532-0.26-0.00
6.6000e+075505544.190.01
6.8000e+07586577-9.15-0.02
7.0000e+07611600-11.29-0.02
7.2000e+07636623-13.23-0.03
7.4000e+07659646-12.99-0.03
7.6000e+07675669-5.56-0.01
7.8000e+07698693-4.96-0.01
8.0000e+07724717-7.17-0.01
8.2000e+07755741-14.22-0.03
8.4000e+07781765-16.09-0.03
8.6000e+07799789-9.80-0.02
8.8000e+07818814-4.35-0.01
9.0000e+07841838-2.75-0.01
9.2000e+07868863-4.98-0.01
9.4000e+07894888-6.07-0.01
9.6000e+07920913-7.00-0.01
9.8000e+07947938-8.79-0.02
1.0000e+08971964-7.43-0.01
1.0500e+0810301028-2.43-0.00
1.1000e+08109110921.420.00
1.1500e+08115311585.070.01
1.2000e+0812361225-11.49-0.02
1.2500e+0812981292-6.30-0.01
1.3000e+0813811360-21.39-0.04
1.3500e+0814451428-16.79-0.03
1.4000e+0815091497-11.50-0.02
1.4500e+0815701567-2.57-0.00
1.5000e+0816421638-4.00-0.01
1.5500e+0817211709-11.82-0.02
1.6000e+0817861781-5.05-0.01
1.6500e+081843185310.300.02
1.7000e+081906192620.220.03
1.7500e+08199620003.680.01
1.8000e+082060207413.670.02
1.8500e+082138214810.190.01
1.9000e+082208222315.210.02
1.9500e+082274229924.720.03
2.0000e+082352237522.720.03
2.1000e+082516252812.110.02
2.2000e+082662268321.310.03
2.3000e+082817284023.240.03
2.4000e+082983299915.830.02
2.5000e+08315131598.010.01
2.6000e+083306332114.730.02
2.7000e+083450348433.930.04
2.8000e+08364036498.560.01
2.9000e+08381238152.570.00
3.0000e+0839953982-13.08-0.01
3.1000e+0841624151-11.43-0.01
3.2000e+0843454320-24.53-0.03
3.3000e+0844974492-5.40-0.01
3.4000e+0846854664-21.09-0.02
3.5000e+0848434837-5.62-0.01
3.6000e+08501050121.970.00
3.7000e+0851935188-5.34-0.01
3.8000e+0853785364-13.59-0.01
3.9000e+0855525542-9.80-0.01
4.0000e+08571657215.010.00
4.1000e+085887590113.810.01
4.2000e+08607960822.580.00
4.3000e+0862886263-24.71-0.02
4.4000e+0864736446-27.07-0.03
4.5000e+0866456629-15.52-0.01
4.6000e+0868266814-12.09-0.01
4.7000e+0870096999-9.78-0.01
4.8000e+0872197185-33.63-0.03
4.9000e+0873987372-25.64-0.02
5.0000e+0876047560-43.83-0.04
5.2000e+0879807938-41.81-0.04
5.4000e+0883698319-49.70-0.04
5.6000e+0887558703-51.59-0.04
5.8000e+0891199090-28.60-0.02
6.0000e+089469948011.190.01
6.2000e+089832987340.680.03
6.4000e+08102221026845.790.04
6.6000e+08106111066554.450.04
6.8000e+08110111106654.580.04
7.0000e+08114161146852.110.04
7.2000e+08117971187375.980.06
7.4000e+08121921228088.120.07
7.6000e+08126471268942.480.03
7.8000e+08130571310144.000.03
8.0000e+08134551351559.620.04
8.2000e+08139061393024.300.02
8.4000e+08142791434869.000.05
8.6000e+08146841476883.650.06
8.8000e+081507915189110.220.08
9.0000e+081549315613119.680.08
9.2000e+081592516038112.960.08
9.4000e+081633116465134.050.09
9.6000e+08168031689490.900.06
9.8000e+08172311732493.480.06
1.0000e+09176691775787.750.06
1.0500e+091871618845128.630.08
1.1000e+091978419942158.410.10
1.1500e+092089821050151.660.09
1.2000e+092203422166131.990.08
1.2500e+092310323291188.030.11
1.3000e+092427924424145.450.08
1.3500e+09254672556698.920.06
1.4000e+092658126715134.170.08
1.4500e+092768027872191.920.11
1.5000e+092875829036277.920.15
1.5500e+092990430207302.940.16
1.6000e+093106631385318.760.17
1.6500e+093226732569302.160.16
1.7000e+093352233760237.970.12
1.7500e+093473034957226.990.12
1.8000e+093589436160266.050.13
1.8500e+093706637369302.990.15
1.9000e+093831338584270.650.13
1.9500e+093956539804238.880.12
2.0000e+094082141030208.550.10
2.1000e+094322343497273.680.13
2.2000e+094570045984284.050.13
2.3000e+094814848491342.740.15
2.4000e+095071851016297.940.13
2.5000e+095318353559375.900.16
2.6000e+095566356119455.910.19
2.7000e+095826458695431.340.18
2.8000e+096082361288464.580.19
2.9000e+096340763895488.080.20
3.0000e+096611566517402.320.16
3.1000e+096883669154317.820.12
3.2000e+097146871804336.130.13
3.3000e+097420874468259.810.10
3.4000e+097690777144237.480.09
3.5000e+097955379834280.750.10
3.6000e+098224682535289.270.11
3.7000e+098502085249228.700.08
3.8000e+098774287974231.730.08
3.9000e+099049190710219.050.08
4.0000e+099317893457279.370.10
4.1000e+099595296215263.430.09
4.2000e+099868298984301.970.10
4.3000e+09101470101763292.730.10
4.4000e+09104278104551273.490.09
4.5000e+09107095107350255.010.08
4.6000e+09109788110158370.090.12
4.7000e+09112606112976369.510.12
4.8000e+09115495115802307.080.10
4.9000e+09118264118638373.610.12
5.0000e+09121125121482356.920.11
5.2000e+09126669127196527.180.16
5.4000e+09132514132944429.550.13
5.6000e+09138110138723612.800.18
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