Gap size : 104 (r=52)

Generated by program gapCounts : Mon Jun 27 12:45:00 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+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+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+04000.000.00
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+05000.010.00
1.6000e+05000.010.00
1.6500e+05000.010.00
1.7000e+05000.010.00
1.7500e+05000.010.00
1.8000e+05000.010.00
1.8500e+05000.010.00
1.9000e+05000.010.00
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+05000.020.00
2.5000e+05000.020.00
2.6000e+05000.020.00
2.7000e+05000.020.00
2.8000e+05000.020.00
2.9000e+05000.020.00
3.0000e+05000.030.00
3.1000e+05000.030.00
3.2000e+05000.030.00
3.3000e+05000.030.00
3.4000e+05000.030.00
3.5000e+05000.040.00
3.6000e+05000.040.00
3.7000e+05000.040.00
3.8000e+05000.040.00
3.9000e+05000.050.00
4.0000e+05000.050.00
4.1000e+05000.050.00
4.2000e+05000.060.00
4.3000e+05000.060.00
4.4000e+05000.060.00
4.5000e+05000.060.00
4.6000e+05000.070.00
4.7000e+05000.070.00
4.8000e+05000.070.00
4.9000e+05000.080.00
5.0000e+05000.080.00
5.2000e+05000.090.00
5.4000e+05000.090.00
5.6000e+05000.100.00
5.8000e+05000.110.00
6.0000e+05000.120.00
6.2000e+05000.130.00
6.4000e+05000.130.00
6.6000e+05000.140.00
6.8000e+05000.150.00
7.0000e+05000.160.00
7.2000e+05000.170.00
7.4000e+05000.180.00
7.6000e+05000.190.00
7.8000e+05000.200.00
8.0000e+05000.210.00
8.2000e+05000.220.00
8.4000e+05000.230.00
8.6000e+05000.240.00
8.8000e+05000.250.00
9.0000e+05000.260.00
9.2000e+05000.280.00
9.4000e+05000.290.00
9.6000e+05000.300.00
9.8000e+05000.310.00
1.0000e+06000.320.00
1.0500e+06000.360.00
1.1000e+06000.390.01
1.1500e+06000.420.01
1.2000e+06000.460.01
1.2500e+06010.500.01
1.3000e+06010.540.01
1.3500e+06010.570.01
1.4000e+0611-0.39-0.00
1.4500e+0611-0.34-0.00
1.5000e+0611-0.30-0.00
1.5500e+0611-0.26-0.00
1.6000e+0611-0.21-0.00
1.6500e+0611-0.17-0.00
1.7000e+0621-1.12-0.01
1.7500e+0621-1.07-0.01
1.8000e+0621-1.03-0.01
1.8500e+0621-0.98-0.01
1.9000e+0621-0.93-0.01
1.9500e+0621-0.87-0.01
2.0000e+0621-0.82-0.01
2.1000e+0621-0.71-0.01
2.2000e+0621-0.60-0.01
2.3000e+0632-1.49-0.01
2.4000e+0632-1.37-0.01
2.5000e+0632-1.25-0.01
2.6000e+0632-1.13-0.01
2.7000e+0642-2.00-0.02
2.8000e+0642-1.87-0.02
2.9000e+0642-1.74-0.02
3.0000e+0642-1.60-0.01
3.1000e+0643-1.46-0.01
3.2000e+0643-1.32-0.01
3.3000e+0643-1.17-0.01
3.4000e+0643-1.02-0.01
3.5000e+0653-1.87-0.02
3.6000e+0663-2.72-0.02
3.7000e+0663-2.56-0.02
3.8000e+0664-2.41-0.02
3.9000e+0664-2.25-0.02
4.0000e+0664-2.08-0.02
4.1000e+0664-1.92-0.01
4.2000e+0664-1.75-0.01
4.3000e+0664-1.58-0.01
4.4000e+0665-1.40-0.01
4.5000e+0675-2.23-0.02
4.6000e+0685-3.05-0.02
4.7000e+0685-2.87-0.02
4.8000e+0685-2.69-0.02
4.9000e+0685-2.51-0.02
5.0000e+0686-2.32-0.02
5.2000e+0696-2.94-0.02
5.4000e+0696-2.55-0.02
5.6000e+0697-2.16-0.01
5.8000e+0697-1.75-0.01
6.0000e+0698-1.34-0.01
6.2000e+0698-0.92-0.01
6.4000e+0699-0.50-0.00
6.6000e+0699-0.06-0.00
6.8000e+06109-0.62-0.00
7.0000e+061110-1.18-0.01
7.2000e+061110-0.72-0.00
7.4000e+061211-1.26-0.01
7.6000e+061211-0.79-0.00
7.8000e+061312-1.32-0.01
8.0000e+061312-0.84-0.00
8.2000e+061313-0.35-0.00
8.4000e+061613-2.86-0.02
8.6000e+061814-4.36-0.02
8.8000e+061814-3.86-0.02
9.0000e+061815-3.35-0.02
9.2000e+061815-2.83-0.01
9.4000e+061816-2.31-0.01
9.6000e+061916-2.78-0.01
9.8000e+061917-2.25-0.01
1.0000e+072117-3.71-0.02
1.0500e+072219-3.34-0.02
1.1000e+072220-1.94-0.01
1.1500e+072321-1.51-0.01
1.2000e+072623-3.04-0.01
1.2500e+072624-1.55-0.01
1.3000e+072626-0.03-0.00
1.3500e+072928-1.48-0.01
1.4000e+0729290.090.00
1.4500e+0730310.700.00
1.5000e+0732320.320.00
1.5500e+073534-1.02-0.00
1.6000e+073736-1.35-0.01
1.6500e+073837-0.65-0.00
1.7000e+074139-1.92-0.01
1.7500e+074341-2.17-0.01
1.8000e+074743-4.40-0.02
1.8500e+075044-5.61-0.02
1.9000e+075146-4.80-0.02
1.9500e+075448-5.97-0.02
2.0000e+075550-5.11-0.02
2.1000e+076454-10.35-0.04
2.2000e+076858-10.50-0.04
2.3000e+077261-10.58-0.04
2.4000e+077865-12.58-0.04
2.5000e+078069-10.52-0.04
2.6000e+078574-11.39-0.04
2.7000e+078978-11.19-0.04
2.8000e+079882-15.93-0.05
2.9000e+0710386-16.60-0.05
3.0000e+0710891-17.21-0.05
3.1000e+0711495-18.77-0.06
3.2000e+07121100-21.26-0.06
3.3000e+07122104-17.71-0.05
3.4000e+07125109-16.09-0.05
3.5000e+07131114-17.42-0.05
3.6000e+07137118-18.70-0.05
3.7000e+07142123-18.93-0.05
3.8000e+07143128-15.11-0.04
3.9000e+07144133-11.24-0.03
4.0000e+07147138-9.32-0.03
4.1000e+07153143-10.35-0.03
4.2000e+07158148-10.34-0.03
4.3000e+07162153-9.28-0.02
4.4000e+07166158-8.17-0.02
4.5000e+07171163-8.03-0.02
4.6000e+07182168-13.84-0.04
4.7000e+07190173-16.61-0.04
4.8000e+07193179-14.33-0.04
4.9000e+07197184-13.02-0.03
5.0000e+07206189-16.66-0.04
5.2000e+07214200-13.83-0.03
5.4000e+07224211-12.85-0.03
5.6000e+07228222-5.73-0.01
5.8000e+07236234-2.45-0.01
6.0000e+07246245-1.04-0.00
6.2000e+07258257-1.49-0.00
6.4000e+07269268-0.81-0.00
6.6000e+072782802.000.00
6.8000e+072902921.940.00
7.0000e+073033041.000.00
7.2000e+073133163.180.01
7.4000e+073253283.480.01
7.6000e+073363414.890.01
7.8000e+073483535.420.01
8.0000e+0735536611.050.02
8.2000e+0736737911.800.02
8.4000e+073853926.650.01
8.6000e+073964058.600.02
8.8000e+074124185.650.01
9.0000e+074264314.800.01
9.2000e+074434441.050.00
9.4000e+07460457-2.61-0.00
9.6000e+074674713.830.01
9.8000e+074764848.370.02
1.0000e+084944983.990.01
1.0500e+08545532-12.57-0.02
1.1000e+08587567-19.59-0.03
1.1500e+08634603-31.10-0.05
1.2000e+08677639-38.11-0.06
1.2500e+08727675-51.64-0.09
1.3000e+08766712-53.71-0.09
1.3500e+08805750-55.33-0.09
1.4000e+08847787-59.52-0.09
1.4500e+08883826-57.29-0.09
1.5000e+08921864-56.66-0.09
1.5500e+08957903-53.63-0.08
1.6000e+08993943-50.21-0.07
1.6500e+081046983-63.42-0.09
1.7000e+0810831023-60.26-0.09
1.7500e+0811241063-60.75-0.09
1.8000e+0811711104-66.90-0.09
1.8500e+0812241145-78.70-0.11
1.9000e+0812711187-84.18-0.12
1.9500e+0813151229-86.33-0.12
2.0000e+0813531271-82.17-0.11
2.1000e+0814411356-84.93-0.11
2.2000e+0815501442-107.50-0.14
2.3000e+0816261530-95.94-0.12
2.4000e+0817221619-103.28-0.13
2.5000e+0818321708-123.58-0.15
2.6000e+0819431799-143.85-0.17
2.7000e+0820321891-141.15-0.17
2.8000e+0821231984-139.50-0.16
2.9000e+0822272077-149.93-0.17
3.0000e+0823112172-139.46-0.16
3.1000e+0824072267-140.13-0.16
3.2000e+0825022363-138.97-0.15
3.3000e+0826062460-145.98-0.16
3.4000e+0827092558-151.20-0.16
3.5000e+0827982656-141.65-0.15
3.6000e+0828852756-129.34-0.13
3.7000e+0829802856-124.29-0.13
3.8000e+0831022956-145.53-0.15
3.9000e+0831993058-141.06-0.14
4.0000e+0832813160-120.92-0.12
4.1000e+0833873263-124.10-0.12
4.2000e+0834953366-128.62-0.12
4.3000e+0835913470-120.51-0.12
4.4000e+0836913575-115.77-0.11
4.5000e+0837913681-110.41-0.10
4.6000e+0839193787-132.45-0.12
4.7000e+0840193893-125.90-0.12
4.8000e+0841094000-108.77-0.10
4.9000e+0842064108-98.07-0.09
5.0000e+0843254216-108.81-0.10
5.2000e+0845634434-128.66-0.11
5.4000e+0847844655-129.39-0.11
5.6000e+0849944877-117.07-0.10
5.8000e+0851905101-88.78-0.07
6.0000e+0854415327-113.57-0.09
6.2000e+0856605556-104.49-0.08
6.4000e+0859355785-149.62-0.12
6.6000e+0861626017-144.98-0.11
6.8000e+0863896250-138.64-0.11
7.0000e+0866416485-155.65-0.12
7.2000e+0868426722-120.03-0.09
7.4000e+0870956960-134.84-0.10
7.6000e+0873287200-128.11-0.10
7.8000e+0875737441-131.88-0.10
8.0000e+0878157684-131.19-0.10
8.2000e+0880447928-116.06-0.08
8.4000e+0882898173-115.54-0.08
8.6000e+0885258420-104.64-0.07
8.8000e+0887978669-128.41-0.09
9.0000e+0890198918-100.87-0.07
9.2000e+0892649169-95.04-0.06
9.4000e+0895119421-89.95-0.06
9.6000e+0897839674-108.62-0.07
9.8000e+08100489929-119.09-0.08
1.0000e+091031010185-125.37-0.08
1.0500e+091095110829-122.00-0.08
1.1000e+091160511480-124.67-0.08
1.1500e+091225812138-119.66-0.07
1.2000e+091291212803-109.24-0.07
1.2500e+091357013473-96.66-0.06
1.3000e+091430214150-152.14-0.09
1.3500e+091498614832-153.91-0.09
1.4000e+091569715520-177.15-0.10
1.4500e+091637216213-159.05-0.09
1.5000e+091706516911-153.78-0.08
1.5500e+091774217614-127.51-0.07
1.6000e+091845118323-128.38-0.07
1.6500e+091915319035-117.53-0.06
1.7000e+091984019753-87.11-0.04
1.7500e+092055920475-84.22-0.04
1.8000e+092126421201-63.00-0.03
1.8500e+092198921931-57.56-0.03
1.9000e+092273422666-68.00-0.03
1.9500e+092348023405-75.42-0.04
2.0000e+092421524147-67.93-0.03
2.1000e+092569325643-49.55-0.02
2.2000e+0927154271540.460.00
2.3000e+09286402867939.460.02
2.4000e+09301793021838.880.02
2.5000e+09317363176933.210.01
2.6000e+09332593333373.940.03
2.7000e+093472734909181.630.08
2.8000e+093620136496294.850.12
2.9000e+093785338094241.230.10
3.0000e+093945739703246.390.10
3.1000e+094107641323246.990.10
3.2000e+094269642953256.720.10
3.3000e+094433944592253.270.10
3.4000e+094606646241175.360.07
3.5000e+094763147900268.720.10
3.6000e+094927149567296.100.11
3.7000e+095098751243256.270.09
3.8000e+095261752928310.990.11
3.9000e+095429854621323.050.11
4.0000e+095599756322325.250.11
4.1000e+095770958031322.400.11
4.2000e+095944559748303.300.10
4.3000e+096112861473344.790.12
4.4000e+096281963205385.680.13
4.5000e+096454164944402.840.13
4.6000e+096627466690416.080.14
4.7000e+096803268443411.280.13
4.8000e+096982670203377.290.12
4.9000e+097160071970369.980.12
5.0000e+097337573743368.200.12
5.2000e+097683577309473.780.15
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