Gap size : 120 (r=60)

Generated by program gapCounts : Mon Jun 27 12:45:22 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+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+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+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+05000.000.00
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+05000.010.00
2.6000e+05000.010.00
2.7000e+05000.010.00
2.8000e+05000.010.00
2.9000e+05000.010.00
3.0000e+05000.010.00
3.1000e+05000.010.00
3.2000e+05000.010.00
3.3000e+05000.010.00
3.4000e+05000.010.00
3.5000e+05000.010.00
3.6000e+05000.010.00
3.7000e+05000.010.00
3.8000e+05000.020.00
3.9000e+05000.020.00
4.0000e+05000.020.00
4.1000e+05000.020.00
4.2000e+05000.020.00
4.3000e+05000.020.00
4.4000e+05000.020.00
4.5000e+05000.020.00
4.6000e+05000.030.00
4.7000e+05000.030.00
4.8000e+05000.030.00
4.9000e+05000.030.00
5.0000e+05000.030.00
5.2000e+05000.030.00
5.4000e+05000.040.00
5.6000e+05000.040.00
5.8000e+05000.040.00
6.0000e+05000.050.00
6.2000e+05000.050.00
6.4000e+05000.050.00
6.6000e+05000.060.00
6.8000e+05000.060.00
7.0000e+05000.070.00
7.2000e+05000.070.00
7.4000e+05000.070.00
7.6000e+05000.080.00
7.8000e+05000.080.00
8.0000e+05000.090.00
8.2000e+05000.090.00
8.4000e+05000.100.00
8.6000e+05000.100.00
8.8000e+05000.110.00
9.0000e+05000.110.00
9.2000e+05000.120.00
9.4000e+05000.130.00
9.6000e+05000.130.00
9.8000e+05000.140.00
1.0000e+06000.140.00
1.0500e+06000.160.00
1.1000e+06000.180.00
1.1500e+06000.190.00
1.2000e+06000.210.00
1.2500e+06000.230.00
1.3000e+06000.250.00
1.3500e+06000.270.00
1.4000e+06000.290.00
1.4500e+06000.310.00
1.5000e+06000.330.00
1.5500e+06000.360.00
1.6000e+06000.380.00
1.6500e+06000.400.00
1.7000e+06000.430.00
1.7500e+06000.450.00
1.8000e+06000.480.01
1.8500e+06010.510.01
1.9000e+0611-0.47-0.00
1.9500e+0611-0.44-0.00
2.0000e+0611-0.41-0.00
2.1000e+0611-0.35-0.00
2.2000e+0611-0.29-0.00
2.3000e+0611-0.23-0.00
2.4000e+0611-0.16-0.00
2.5000e+0611-0.09-0.00
2.6000e+0611-0.02-0.00
2.7000e+06110.050.00
2.8000e+06110.130.00
2.9000e+0621-0.80-0.01
3.0000e+0621-0.72-0.01
3.1000e+0621-0.63-0.01
3.2000e+0621-0.55-0.00
3.3000e+0622-0.47-0.00
3.4000e+0622-0.38-0.00
3.5000e+0622-0.29-0.00
3.6000e+0622-0.20-0.00
3.7000e+0622-0.10-0.00
3.8000e+0622-0.01-0.00
3.9000e+06220.090.00
4.0000e+06220.190.00
4.1000e+06220.290.00
4.2000e+06220.390.00
4.3000e+06220.490.00
4.4000e+06230.600.00
4.5000e+06230.710.01
4.6000e+06230.820.01
4.7000e+06230.930.01
4.8000e+06231.040.01
4.9000e+06231.160.01
5.0000e+06231.270.01
5.2000e+06241.510.01
5.4000e+06241.750.01
5.6000e+06242.000.01
5.8000e+06242.260.01
6.0000e+06252.520.02
6.2000e+06351.790.01
6.4000e+06352.060.01
6.6000e+06352.340.01
6.8000e+06362.630.02
7.0000e+06362.920.02
7.2000e+06462.210.01
7.4000e+06472.520.01
7.6000e+06472.820.02
7.8000e+06572.130.01
8.0000e+06770.450.00
8.2000e+06780.770.00
8.4000e+06880.100.00
8.6000e+06880.430.00
8.8000e+0699-0.23-0.00
9.0000e+06990.110.00
9.2000e+06990.460.00
9.4000e+069100.810.00
9.6000e+0610100.170.00
9.8000e+0610110.530.00
1.0000e+0710110.890.00
1.0500e+0711120.820.00
1.1000e+0712130.780.00
1.1500e+0712141.770.01
1.2000e+0714150.780.00
1.2500e+071716-1.18-0.01
1.3000e+071717-0.12-0.00
1.3500e+0717180.960.00
1.4000e+0717192.070.01
1.4500e+0718202.200.01
1.5000e+0719212.350.01
1.5500e+0721231.520.01
1.6000e+0722241.720.01
1.6500e+0723251.940.01
1.7000e+0723263.170.01
1.7500e+0725272.430.01
1.8000e+0728290.710.00
1.8500e+0728302.000.01
1.9000e+073231-0.68-0.00
1.9500e+0732330.650.00
2.0000e+0732342.010.01
2.1000e+0734372.760.01
2.2000e+0736403.590.01
2.3000e+0738424.490.02
2.4000e+0740455.460.02
2.5000e+0747481.480.01
2.6000e+075552-3.42-0.01
2.7000e+075655-1.27-0.00
2.8000e+076358-5.06-0.02
2.9000e+076661-4.79-0.02
3.0000e+076965-4.46-0.01
3.1000e+077168-3.08-0.01
3.2000e+077571-3.65-0.01
3.3000e+078175-6.16-0.02
3.4000e+078478-5.62-0.02
3.5000e+078682-4.03-0.01
3.6000e+079386-7.38-0.02
3.7000e+079589-5.69-0.02
3.8000e+079993-5.96-0.02
3.9000e+0710197-4.17-0.01
4.0000e+07109101-8.34-0.02
4.1000e+07112105-7.46-0.02
4.2000e+07119108-10.54-0.03
4.3000e+07123112-10.58-0.03
4.4000e+07130116-13.57-0.04
4.5000e+07136120-15.52-0.04
4.6000e+07143125-18.43-0.05
4.7000e+07148129-19.29-0.05
4.8000e+07154133-21.12-0.05
4.9000e+07156137-18.90-0.05
5.0000e+07159141-17.65-0.04
5.2000e+07170150-20.03-0.05
5.4000e+07176159-17.26-0.04
5.6000e+07184168-16.34-0.04
5.8000e+07192177-15.27-0.04
6.0000e+07205186-19.07-0.04
6.2000e+07218195-22.74-0.05
6.4000e+07225205-20.27-0.05
6.6000e+07241214-26.67-0.06
6.8000e+07249224-24.94-0.05
7.0000e+07262234-28.09-0.06
7.2000e+07274244-30.12-0.06
7.4000e+07286254-32.03-0.07
7.6000e+07297264-32.83-0.07
7.8000e+07307274-32.51-0.07
8.0000e+07318285-33.08-0.07
8.2000e+07327295-31.53-0.06
8.4000e+07337306-30.89-0.06
8.6000e+07353317-36.13-0.07
8.8000e+07363328-35.27-0.07
9.0000e+07372339-33.31-0.06
9.2000e+07386350-36.25-0.07
9.4000e+07399361-38.09-0.07
9.6000e+07412372-39.83-0.07
9.8000e+07421384-37.48-0.07
1.0000e+08433395-38.03-0.07
1.0500e+08460424-36.01-0.06
1.1000e+08484454-30.43-0.05
1.1500e+08522484-38.31-0.07
1.2000e+08564514-49.67-0.08
1.2500e+08590545-44.52-0.07
1.3000e+08619577-41.89-0.07
1.3500e+08659609-49.78-0.08
1.4000e+08689642-47.21-0.07
1.4500e+08713675-38.19-0.06
1.5000e+08744708-35.74-0.05
1.5500e+08768742-25.86-0.04
1.6000e+08803776-26.57-0.04
1.6500e+08847811-35.88-0.05
1.7000e+08879846-32.79-0.05
1.7500e+08915882-33.32-0.05
1.8000e+08952918-34.47-0.05
1.8500e+08990954-36.26-0.05
1.9000e+081019990-28.68-0.04
1.9500e+0810571027-29.76-0.04
2.0000e+0810931065-28.49-0.04
2.1000e+0811781140-37.94-0.05
2.2000e+0812691217-52.08-0.07
2.3000e+0813511295-55.98-0.07
2.4000e+0814411374-66.66-0.08
2.5000e+0815221455-67.18-0.08
2.6000e+0816151536-78.56-0.09
2.7000e+0817121619-92.85-0.11
2.8000e+0817991703-96.08-0.11
2.9000e+0818871788-99.27-0.11
3.0000e+0819821874-108.46-0.12
3.1000e+0820721960-111.67-0.12
3.2000e+0821602048-111.94-0.12
3.3000e+0822492137-112.28-0.12
3.4000e+0823202226-93.71-0.10
3.5000e+0824082317-91.27-0.10
3.6000e+0824932408-84.96-0.09
3.7000e+0825992500-98.82-0.10
3.8000e+0826872593-93.85-0.10
3.9000e+0827752687-88.08-0.09
4.0000e+0828592781-77.52-0.08
4.1000e+0829562877-79.19-0.08
4.2000e+0830642973-91.10-0.09
4.3000e+0831603070-90.28-0.09
4.4000e+0832513167-83.73-0.08
4.5000e+0833613266-95.47-0.09
4.6000e+0834633364-98.50-0.09
4.7000e+0835663464-101.86-0.09
4.8000e+0836733564-108.53-0.10
4.9000e+0837793665-113.55-0.10
5.0000e+0838653767-97.91-0.09
5.2000e+0840673972-94.73-0.08
5.4000e+0842534180-73.07-0.06
5.6000e+0844504390-60.01-0.05
5.8000e+0846704602-67.61-0.06
6.0000e+0848694817-51.96-0.04
6.2000e+0851165034-82.11-0.07
6.4000e+0853445253-91.12-0.07
6.6000e+0855635474-89.05-0.07
6.8000e+0857795697-81.94-0.06
7.0000e+0859835922-60.87-0.05
7.2000e+0862236149-73.86-0.06
7.4000e+0864606378-81.97-0.06
7.6000e+0867156609-106.23-0.08
7.8000e+0869466841-104.70-0.08
8.0000e+0871877076-111.41-0.08
8.2000e+0874107312-98.40-0.07
8.4000e+0876737549-123.69-0.09
8.6000e+0879017789-112.34-0.08
8.8000e+0881568030-126.37-0.09
9.0000e+0883908272-117.81-0.08
9.2000e+0886048516-87.69-0.06
9.4000e+0888598762-97.04-0.07
9.6000e+0890949009-84.89-0.06
9.8000e+0893539258-95.27-0.06
1.0000e+0996219508-113.20-0.07
1.0500e+091024910139-109.86-0.07
1.1000e+091090410779-124.98-0.08
1.1500e+091153711427-109.91-0.07
1.2000e+091220812083-124.96-0.08
1.2500e+091284912747-102.41-0.06
1.3000e+091352213417-104.52-0.06
1.3500e+091420014095-104.54-0.06
1.4000e+091486614780-85.71-0.05
1.4500e+091555415472-82.22-0.05
1.5000e+091627116170-101.29-0.06
1.5500e+091698116874-107.11-0.06
1.6000e+091769017584-105.84-0.06
1.6500e+091839618300-95.66-0.05
1.7000e+091913519022-112.71-0.06
1.7500e+091983319750-83.17-0.04
1.8000e+092055920483-76.15-0.04
1.8500e+092125121221-29.80-0.01
1.9000e+092199221965-27.24-0.01
1.9500e+092277622713-62.60-0.03
2.0000e+092352623467-58.98-0.03
2.1000e+092500224989-13.27-0.01
2.2000e+092657026529-40.93-0.02
2.3000e+092820828087-120.71-0.05
2.4000e+092975129663-88.31-0.04
2.5000e+093132931255-74.35-0.03
2.6000e+093298732863-124.43-0.05
2.7000e+093463834486-152.10-0.06
2.8000e+093626936124-144.86-0.06
2.9000e+093792037777-143.20-0.06
3.0000e+093964339443-199.54-0.08
3.1000e+094130941124-185.32-0.07
3.2000e+094298442817-166.93-0.06
3.3000e+094471144523-187.73-0.07
3.4000e+094640246242-160.07-0.06
3.5000e+094815447973-181.28-0.07
3.6000e+094989749715-181.68-0.07
3.7000e+095159851469-128.55-0.05
3.8000e+095345053235-215.18-0.08
3.9000e+095521955011-207.83-0.07
4.0000e+095697456798-175.77-0.06
4.1000e+095881758596-221.22-0.08
4.2000e+096071160404-307.43-0.11
4.3000e+096256662221-344.60-0.12
4.4000e+096429864049-248.96-0.08
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