Gap size : 52 (r=26)

Generated by program gapCounts : Mon Jun 27 12:43:48 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+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+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+03000.010.00
6.4000e+03000.010.00
6.6000e+03000.010.00
6.8000e+03000.010.00
7.0000e+03000.010.00
7.2000e+03000.010.00
7.4000e+03000.010.00
7.6000e+03000.010.00
7.8000e+03000.010.00
8.0000e+03000.010.00
8.2000e+03000.010.00
8.4000e+03000.010.00
8.6000e+03000.020.00
8.8000e+03000.020.00
9.0000e+03000.020.00
9.2000e+03000.020.00
9.4000e+03000.020.00
9.6000e+03000.020.00
9.8000e+03000.020.00
1.0000e+04000.020.00
1.0500e+04000.030.00
1.1000e+04000.030.00
1.1500e+04000.040.00
1.2000e+04000.040.00
1.2500e+04000.040.00
1.3000e+04000.050.00
1.3500e+04000.050.00
1.4000e+04000.060.00
1.4500e+04000.060.01
1.5000e+04000.070.01
1.5500e+04000.070.01
1.6000e+04000.080.01
1.6500e+04000.090.01
1.7000e+04000.090.01
1.7500e+04000.100.01
1.8000e+04000.110.01
1.8500e+04000.110.01
1.9000e+04000.120.01
1.9500e+04000.130.01
2.0000e+0410-0.87-0.06
2.1000e+0410-0.85-0.06
2.2000e+0410-0.84-0.06
2.3000e+0410-0.82-0.05
2.4000e+0410-0.80-0.05
2.5000e+0410-0.78-0.05
2.6000e+0420-1.76-0.11
2.7000e+0420-1.75-0.11
2.8000e+0420-1.73-0.11
2.9000e+0420-1.71-0.10
3.0000e+0420-1.68-0.10
3.1000e+0420-1.66-0.10
3.2000e+0420-1.64-0.10
3.3000e+0420-1.62-0.09
3.4000e+0420-1.59-0.09
3.5000e+0420-1.57-0.09
3.6000e+0430-2.55-0.14
3.7000e+0430-2.52-0.14
3.8000e+0431-2.50-0.13
3.9000e+0431-2.47-0.13
4.0000e+0431-2.44-0.13
4.1000e+0431-2.42-0.13
4.2000e+0431-2.39-0.12
4.3000e+0431-2.36-0.12
4.4000e+0441-3.33-0.17
4.5000e+0441-3.30-0.17
4.6000e+0441-3.27-0.16
4.7000e+0441-3.24-0.16
4.8000e+0441-3.21-0.16
4.9000e+0451-4.18-0.20
5.0000e+0451-4.15-0.20
5.2000e+0451-4.09-0.19
5.4000e+0451-4.02-0.19
5.6000e+0451-3.96-0.18
5.8000e+0451-3.89-0.18
6.0000e+0461-4.82-0.22
6.2000e+0461-4.75-0.21
6.4000e+0461-4.68-0.20
6.6000e+0461-4.60-0.20
6.8000e+0461-4.53-0.19
7.0000e+0462-4.45-0.19
7.2000e+0462-4.37-0.18
7.4000e+0462-4.30-0.18
7.6000e+0472-5.22-0.21
7.8000e+0472-5.13-0.21
8.0000e+0472-5.05-0.20
8.2000e+0472-4.97-0.20
8.4000e+0472-4.88-0.19
8.6000e+0472-4.80-0.19
8.8000e+0472-4.71-0.18
9.0000e+0472-4.62-0.18
9.2000e+0472-4.53-0.17
9.4000e+0473-4.44-0.17
9.6000e+0473-4.35-0.16
9.8000e+0473-4.26-0.16
1.0000e+0573-4.16-0.15
1.0500e+0583-4.93-0.18
1.1000e+0583-4.68-0.16
1.1500e+0584-4.43-0.15
1.2000e+0584-4.18-0.14
1.2500e+0584-3.92-0.13
1.3000e+0584-3.65-0.12
1.3500e+0585-3.38-0.11
1.4000e+0585-3.11-0.10
1.4500e+0585-2.83-0.09
1.5000e+0585-2.54-0.08
1.5500e+0596-3.25-0.10
1.6000e+0596-2.96-0.09
1.6500e+0596-2.66-0.08
1.7000e+05107-3.36-0.10
1.7500e+05107-3.06-0.09
1.8000e+05107-2.75-0.08
1.8500e+05108-2.44-0.07
1.9000e+05118-3.12-0.09
1.9500e+05118-2.80-0.08
2.0000e+05119-2.48-0.07
2.1000e+05129-2.82-0.08
2.2000e+051210-2.16-0.06
2.3000e+051211-1.47-0.04
2.4000e+051211-0.78-0.02
2.5000e+051212-0.08-0.00
2.6000e+051313-0.36-0.01
2.7000e+0513130.370.01
2.8000e+0513141.100.03
2.9000e+0513151.850.04
3.0000e+0513162.610.06
3.1000e+0513163.370.08
3.2000e+0514173.150.07
3.3000e+0517180.930.02
3.4000e+0517191.720.04
3.5000e+0518201.520.03
3.6000e+0519201.330.03
3.7000e+0521210.150.00
3.8000e+052222-0.03-0.00
3.9000e+052323-0.20-0.00
4.0000e+0523240.640.01
4.1000e+0524240.490.01
4.2000e+0525250.340.01
4.3000e+0526260.200.00
4.4000e+0527270.060.00
4.5000e+052828-0.06-0.00
4.6000e+0528290.820.02
4.7000e+0529300.700.01
4.8000e+0529311.590.03
4.9000e+0529312.490.05
5.0000e+0529323.390.06
5.2000e+0530344.220.08
5.4000e+0532364.060.07
5.6000e+0535382.930.05
5.8000e+0537402.820.05
6.0000e+0539422.730.05
6.2000e+0540443.650.06
6.4000e+0542463.600.06
6.6000e+0544483.560.06
6.8000e+0544505.540.09
7.0000e+0546525.540.09
7.2000e+0548545.550.09
7.4000e+0549566.590.10
7.6000e+0551586.630.10
7.8000e+0551608.690.13
8.0000e+0554627.770.12
8.2000e+0559644.860.07
8.4000e+0561664.970.07
8.6000e+0563685.080.07
8.8000e+0566704.220.06
9.0000e+0568724.360.06
9.2000e+0569755.520.08
9.4000e+0570776.690.09
9.6000e+0573795.870.08
9.8000e+0576815.070.07
1.0000e+0677836.280.09
1.0500e+0683895.840.08
1.1000e+0689945.480.07
1.1500e+06941006.180.08
1.2000e+061011064.950.06
1.2500e+061101121.770.02
1.3000e+061101187.660.09
1.3500e+061171246.590.08
1.4000e+061201309.590.11
1.4500e+061261369.630.11
1.5000e+0613114210.720.12
1.5500e+0613514812.860.15
1.6000e+061461548.050.09
1.6500e+061511609.280.10
1.7000e+0615616710.550.12
1.7500e+061641738.870.10
1.8000e+061701799.230.10
1.8500e+0617518610.630.11
1.9000e+0618219210.060.11
1.9500e+061901998.530.09
2.0000e+0619420511.040.11
2.1000e+0620321815.170.15
2.2000e+0621423117.430.17
2.3000e+0622724517.810.17
2.4000e+0624325815.330.15
2.5000e+0625427217.950.17
2.6000e+0626628619.690.18
2.7000e+0627430025.540.23
2.8000e+0629531318.490.16
2.9000e+0630732820.540.18
3.0000e+0632134220.690.18
3.1000e+0632835627.930.24
3.2000e+0633737033.260.28
3.3000e+0634938535.680.29
3.4000e+0635839941.180.34
3.5000e+0637641437.760.30
3.6000e+0638742841.420.33
3.7000e+0640344340.160.32
3.8000e+0641945838.970.30
3.9000e+0643047342.850.33
4.0000e+0645148836.800.28
4.1000e+0646250340.830.31
4.2000e+0647651841.910.31
4.3000e+0648853345.070.33
4.4000e+0650354845.280.33
4.5000e+0651556448.560.35
4.6000e+0653257946.900.34
4.7000e+0654559449.290.35
4.8000e+0655561054.750.38
4.9000e+0656362562.260.43
5.0000e+0657964161.820.43
5.2000e+0660667266.110.45
5.4000e+0663070473.610.49
5.6000e+0666873567.300.44
5.8000e+0670676761.190.40
6.0000e+0673179968.250.43
6.2000e+0676583166.500.42
6.4000e+0679886465.910.41
6.6000e+0683389663.490.39
6.8000e+0686692963.230.38
7.0000e+0689996263.120.38
7.2000e+0693399562.160.37
7.4000e+06976102852.340.30
7.6000e+061018106243.670.25
7.8000e+061054109541.130.23
8.0000e+061084112944.730.25
8.2000e+061117116245.450.25
8.4000e+061155119641.310.23
8.6000e+061194123036.280.20
8.8000e+061230126434.370.19
9.0000e+061264129934.580.18
9.2000e+061304133328.900.15
9.4000e+061342136725.330.13
9.6000e+061370140231.880.17
9.8000e+061413143723.520.12
1.0000e+071449147122.270.11
1.0500e+071530155928.590.14
1.1000e+071630164616.500.08
1.1500e+071708173526.980.13
1.2000e+071791182433.000.16
1.2500e+071899191414.550.07
1.3000e+071979200424.580.11
1.3500e+072051209443.090.19
1.4000e+072151218534.050.15
1.4500e+072246227630.450.13
1.5000e+072333236835.270.15
1.5500e+072416246044.500.19
1.6000e+072521255332.110.13
1.6500e+072620264626.100.11
1.7000e+072705273934.450.14
1.7500e+072801283332.160.13
1.8000e+072902292725.200.10
1.8500e+073001302220.580.08
1.9000e+07311531161.270.00
1.9500e+0732143211-2.72-0.01
2.0000e+0733273307-20.42-0.08
2.1000e+0735433498-44.93-0.17
2.2000e+0737163691-25.33-0.09
2.3000e+0739273884-42.68-0.15
2.4000e+0741254079-46.02-0.16
2.5000e+0743214275-46.40-0.16
2.6000e+0745154471-43.87-0.15
2.7000e+0747024669-33.47-0.11
2.8000e+0748934867-26.22-0.08
2.9000e+0750925066-26.17-0.08
3.0000e+0753045266-38.35-0.12
3.1000e+0754725466-5.78-0.02
3.2000e+075628566839.510.12
3.3000e+075818586951.480.16
3.4000e+076032607240.130.12
3.5000e+076251627524.430.07
3.6000e+076451647928.350.08
3.7000e+076657668426.880.08
3.8000e+076850688938.990.11
3.9000e+07708670958.680.02
4.0000e+0773227301-21.08-0.06
4.1000e+0775247508-16.30-0.04
4.2000e+0777237715-8.00-0.02
4.3000e+0779567923-33.19-0.09
4.4000e+0781728131-40.88-0.11
4.5000e+0783908340-50.09-0.13
4.6000e+0786038549-53.83-0.14
4.7000e+0787848759-25.10-0.06
4.8000e+0789838969-13.94-0.04
4.9000e+0792119180-31.33-0.08
5.0000e+0794389391-47.29-0.12
5.2000e+0798739814-58.98-0.15
5.4000e+071028110239-42.06-0.10
5.6000e+071069710665-31.62-0.08
5.8000e+071114211093-48.70-0.11
6.0000e+071157811523-55.38-0.13
6.2000e+071199911953-45.69-0.10
6.4000e+071246412385-78.70-0.18
6.6000e+071287012819-51.44-0.11
6.8000e+071329213253-38.97-0.09
7.0000e+071371813689-29.32-0.06
7.2000e+071418614125-60.53-0.13
7.4000e+071464314563-79.63-0.17
7.6000e+071511315002-110.67-0.23
7.8000e+071557115442-128.68-0.26
8.0000e+071604215883-158.67-0.32
8.2000e+071650616325-180.69-0.36
8.4000e+071694416768-175.76-0.35
8.6000e+071738317212-170.91-0.34
8.8000e+071783517657-178.15-0.35
9.0000e+071827618102-173.52-0.33
9.2000e+071876118549-212.04-0.41
9.4000e+071922518996-228.72-0.43
9.6000e+071969019444-245.59-0.46
9.8000e+072015319893-259.67-0.48
1.0000e+082059520343-251.98-0.46
1.0500e+082171421471-243.47-0.44
1.1000e+082281022603-207.49-0.37
1.1500e+082397623739-237.28-0.41
1.2000e+082506424879-185.05-0.31
1.2500e+082621326023-189.98-0.32
1.3000e+082738627171-215.26-0.35
1.3500e+082852628322-204.05-0.33
1.4000e+082966329476-186.50-0.30
1.4500e+083081330634-178.75-0.28
1.5000e+083195031795-154.91-0.24
1.5500e+083314132959-182.12-0.28
1.6000e+083427434126-148.48-0.22
1.6500e+083542635295-131.10-0.19
1.7000e+083657736467-110.07-0.16
1.7500e+083775437642-112.49-0.16
1.8000e+083896038819-141.43-0.20
1.8500e+084017239998-173.97-0.24
1.9000e+084135041180-170.20-0.24
1.9500e+084254942364-185.18-0.25
2.0000e+084372643550-175.99-0.24
2.1000e+084598045929-51.30-0.07
2.2000e+084841848315-102.62-0.13
2.3000e+085077550710-65.36-0.08
2.4000e+085316253111-50.90-0.06
2.5000e+085556455519-44.60-0.05
2.6000e+085797957934-44.78-0.05
2.7000e+08603286035527.270.03
2.8000e+08627356278247.290.05
2.9000e+086525165215-35.98-0.04
3.0000e+086770467653-50.77-0.06
3.1000e+087013770097-40.29-0.04
3.2000e+087261072545-64.74-0.07
3.3000e+087512474999-125.31-0.14
3.4000e+087762877457-171.17-0.18
3.5000e+088007079920-150.48-0.16
3.6000e+088247582387-88.40-0.09
3.7000e+088496684858-108.06-0.11
3.8000e+088749387333-159.61-0.16
3.9000e+088995689813-143.17-0.14
4.0000e+089236592296-68.87-0.07
4.1000e+089483694783-52.80-0.05
4.2000e+089739897274-124.09-0.12
4.3000e+089990199768-132.84-0.13
4.4000e+08102395102266-129.14-0.12
4.5000e+08104907104767-140.09-0.13
4.6000e+08107372107271-100.76-0.09
4.7000e+08109858109779-79.26-0.07
4.8000e+08112343112289-53.65-0.05
4.9000e+0811479011480312.980.01
5.0000e+08117380117320-60.43-0.05
5.2000e+08122467122361-105.67-0.09
5.4000e+08127621127414-206.90-0.18
5.6000e+08132621132477-143.60-0.12
5.8000e+08137685137551-134.21-0.11
6.0000e+08142811142634-177.14-0.15
6.2000e+08147810147726-83.79-0.07
6.4000e+08152896152827-68.50-0.05
6.6000e+08158127157937-189.60-0.15
6.8000e+08163198163056-142.41-0.11
7.0000e+081681721681829.780.01
7.2000e+081733061733169.710.01
7.4000e+0817841117845746.120.03
7.6000e+0818356318360642.770.03
7.8000e+0818872018876141.420.03
8.0000e+08194025193924-101.12-0.07
8.2000e+08199192199093-99.08-0.07
8.4000e+08204303204268-34.63-0.02
8.6000e+0820942820945022.040.02
8.8000e+082146312146386.760.00
9.0000e+08219870219831-38.64-0.03
9.2000e+0822500822503122.690.02
9.4000e+08230300230236-64.40-0.04
9.6000e+08235468235446-22.06-0.01
9.8000e+08240686240662-24.42-0.02
1.0000e+0924580424588278.400.05
1.0500e+09258723258956233.270.15
1.1000e+09271762272060297.900.19
1.1500e+09284937285192254.680.16
1.2000e+09298020298350330.140.20
1.2500e+09311215311534318.940.19
1.3000e+09324215324742526.880.31
1.3500e+09337378337973594.830.34
1.4000e+09350515351226710.780.40
1.4500e+09363791364500708.760.39
1.5000e+09376900377794893.920.49
1.5500e+09390289391107818.440.44
1.6000e+09403857404440582.570.31
1.6500e+09417372417790417.610.22
1.7000e+09430766431157390.890.20
1.7500e+09443929444541611.820.31
1.8000e+09457254457941686.800.34
1.8500e+09470693471356663.310.33
1.9000e+09484142484787644.830.32
1.9500e+09497778498232453.890.22
2.0000e+09511183511691508.030.24
2.1000e+09538179538650470.890.22
2.2000e+09565308565660352.230.16
2.3000e+0959265559271964.240.03
2.4000e+09619417619824407.330.18
2.5000e+09646430646973543.180.24
2.6000e+09673358674164805.650.34
2.7000e+09700632701394761.790.32
2.8000e+09727667728662994.820.41
2.9000e+097549657559661001.080.41
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