Gap size : 44 (r=22)

Generated by program gapCounts : Mon Jun 27 12:41:22 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+02000.000.00
6.0000e+02000.000.00
7.0000e+02000.000.00
8.0000e+02000.000.00
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+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+03000.010.00
3.5000e+03000.010.00
3.6000e+03000.010.00
3.7000e+03000.010.00
3.8000e+03000.010.00
3.9000e+03000.010.00
4.0000e+03000.010.00
4.1000e+03000.010.00
4.2000e+03000.010.00
4.3000e+03000.010.00
4.4000e+03000.010.00
4.5000e+03000.010.00
4.6000e+03000.020.00
4.7000e+03000.020.00
4.8000e+03000.020.00
4.9000e+03000.020.00
5.0000e+03000.020.00
5.2000e+03000.020.00
5.4000e+03000.030.00
5.6000e+03000.030.00
5.8000e+03000.030.00
6.0000e+03000.030.00
6.2000e+03000.040.00
6.4000e+03000.040.00
6.6000e+03000.050.00
6.8000e+03000.050.01
7.0000e+03000.050.01
7.2000e+03000.060.01
7.4000e+03000.060.01
7.6000e+03000.070.01
7.8000e+03000.070.01
8.0000e+03000.070.01
8.2000e+03000.080.01
8.4000e+03000.080.01
8.6000e+03000.090.01
8.8000e+03000.090.01
9.0000e+03000.100.01
9.2000e+03000.100.01
9.4000e+03000.110.01
9.6000e+03000.120.01
9.8000e+03000.120.01
1.0000e+04000.130.01
1.0500e+04000.140.01
1.1000e+04000.160.01
1.1500e+04000.170.02
1.2000e+04000.190.02
1.2500e+04000.210.02
1.3000e+04000.230.02
1.3500e+04000.250.02
1.4000e+04000.270.02
1.4500e+04000.290.02
1.5000e+04000.310.02
1.5500e+04000.330.03
1.6000e+0410-0.65-0.05
1.6500e+0410-0.63-0.05
1.7000e+0410-0.60-0.05
1.7500e+0410-0.58-0.04
1.8000e+0410-0.56-0.04
1.8500e+0410-0.53-0.04
1.9000e+0410-0.51-0.04
1.9500e+0411-0.48-0.03
2.0000e+0411-0.45-0.03
2.1000e+0411-0.40-0.03
2.2000e+0411-0.34-0.02
2.3000e+0411-0.29-0.02
2.4000e+0411-0.23-0.01
2.5000e+0411-0.17-0.01
2.6000e+0411-0.10-0.01
2.7000e+0411-0.04-0.00
2.8000e+04110.020.00
2.9000e+04110.090.01
3.0000e+04110.160.01
3.1000e+04110.230.01
3.2000e+04110.300.02
3.3000e+04110.370.02
3.4000e+04110.450.03
3.5000e+04120.520.03
3.6000e+04120.600.03
3.7000e+0422-0.33-0.02
3.8000e+0432-1.25-0.07
3.9000e+0432-1.17-0.06
4.0000e+0432-1.09-0.06
4.1000e+0432-1.00-0.05
4.2000e+0432-0.92-0.05
4.3000e+0432-0.84-0.04
4.4000e+0432-0.75-0.04
4.5000e+0432-0.67-0.03
4.6000e+0432-0.58-0.03
4.7000e+0433-0.49-0.02
4.8000e+0433-0.40-0.02
4.9000e+0433-0.31-0.02
5.0000e+0433-0.22-0.01
5.2000e+0433-0.04-0.00
5.4000e+04330.150.01
5.6000e+04330.340.02
5.8000e+04340.530.02
6.0000e+04340.730.03
6.2000e+04340.930.04
6.4000e+04341.130.05
6.6000e+04341.340.06
6.8000e+04351.550.07
7.0000e+04351.760.07
7.2000e+04351.980.08
7.4000e+04352.190.09
7.6000e+04352.410.10
7.8000e+04461.630.07
8.0000e+04461.860.07
8.2000e+04462.080.08
8.4000e+04462.310.09
8.6000e+04472.550.10
8.8000e+04472.780.11
9.0000e+04473.010.11
9.2000e+04473.250.12
9.4000e+04572.490.09
9.6000e+04582.730.10
9.8000e+04582.980.11
1.0000e+05583.220.12
1.0500e+05593.840.14
1.1000e+05792.480.09
1.1500e+057103.120.11
1.2000e+057113.780.13
1.2500e+058113.440.11
1.3000e+058124.110.13
1.3500e+058134.800.15
1.4000e+0510133.490.11
1.4500e+0512142.190.07
1.5000e+0512152.900.09
1.5500e+0512163.610.11
1.6000e+0512164.340.13
1.6500e+0512175.070.15
1.7000e+0512185.810.17
1.7500e+0512196.550.19
1.8000e+0512197.310.21
1.8500e+0513207.070.20
1.9000e+0514216.830.19
1.9500e+0514227.600.21
2.0000e+0514228.380.23
2.1000e+0515248.960.24
2.2000e+05152610.550.28
2.3000e+0518279.170.24
2.4000e+0519299.810.25
2.5000e+0523307.470.19
2.6000e+0523329.140.22
2.7000e+05233410.840.26
2.8000e+0527368.550.20
2.9000e+0533374.280.10
3.0000e+0533396.030.14
3.1000e+0536414.790.11
3.2000e+0539433.570.08
3.3000e+0539445.360.12
3.4000e+0540466.160.13
3.5000e+0541486.980.15
3.6000e+0545504.810.10
3.7000e+0546525.660.12
3.8000e+0548545.520.11
3.9000e+0548557.390.15
4.0000e+0548579.270.19
4.1000e+0552597.160.14
4.2000e+0555616.070.12
4.3000e+0559633.980.08
4.4000e+0562652.910.06
4.5000e+0563673.850.07
4.6000e+0565693.790.07
4.7000e+0566714.750.09
4.8000e+0568734.720.09
4.9000e+0569755.690.11
5.0000e+0570776.680.12
5.2000e+0575815.680.10
5.4000e+0583851.710.03
5.6000e+0585893.770.07
5.8000e+0588934.870.08
6.0000e+0594973.000.05
6.2000e+051001011.160.02
6.4000e+05107105-1.65-0.03
6.6000e+05113110-3.43-0.06
6.8000e+05120114-6.19-0.10
7.0000e+05126118-7.92-0.13
7.2000e+05128122-5.63-0.09
7.4000e+05134127-7.31-0.11
7.6000e+05137131-5.96-0.09
7.8000e+05144135-8.60-0.13
8.0000e+05149140-9.21-0.14
8.2000e+05153144-8.80-0.13
8.4000e+05156149-7.37-0.11
8.6000e+05165153-11.92-0.18
8.8000e+05170158-12.44-0.18
9.0000e+05176162-13.95-0.20
9.2000e+05182167-15.44-0.22
9.4000e+05190171-18.91-0.27
9.6000e+05195176-19.36-0.27
9.8000e+05199180-18.79-0.26
1.0000e+06202185-17.21-0.24
1.0500e+06215196-18.68-0.25
1.1000e+06225208-17.04-0.23
1.1500e+06231220-11.31-0.15
1.2000e+06238232-6.49-0.08
1.2500e+06246243-2.58-0.03
1.3000e+062502555.410.07
1.3500e+062582679.490.12
1.4000e+062702809.640.12
1.4500e+0627829213.860.16
1.5000e+062963048.150.09
1.5500e+063093177.520.09
1.6000e+063283290.940.01
1.6500e+063413410.430.00
1.7000e+06357354-3.01-0.03
1.7500e+06371367-4.40-0.05
1.8000e+06390379-10.74-0.12
1.8500e+06398392-6.01-0.06
1.9000e+06414405-9.23-0.10
1.9500e+06425418-7.40-0.08
2.0000e+06438430-7.52-0.08
2.1000e+06459456-2.62-0.03
2.2000e+06491482-8.53-0.08
2.3000e+06522509-13.26-0.13
2.4000e+06549535-13.82-0.13
2.5000e+06574562-12.22-0.11
2.6000e+06596589-7.47-0.07
2.7000e+06620615-4.58-0.04
2.8000e+06646642-3.54-0.03
2.9000e+06674670-4.37-0.04
3.0000e+06698697-1.07-0.01
3.1000e+067237241.350.01
3.2000e+06752752-0.11-0.00
3.3000e+06784780-4.45-0.04
3.4000e+068008077.320.06
3.5000e+068308355.200.04
3.6000e+068588635.180.04
3.7000e+068918910.260.00
3.8000e+069169193.440.03
3.9000e+069429485.710.04
4.0000e+069709766.080.05
4.1000e+0699610058.530.06
4.2000e+06102910334.070.03
4.3000e+06105910622.700.02
4.4000e+061079109011.400.08
4.5000e+06111111198.190.06
4.6000e+06114111487.050.05
4.7000e+06117011776.990.05
4.8000e+061196120610.010.07
4.9000e+061224123511.090.08
5.0000e+061252126412.250.08
5.2000e+061309132313.770.09
5.4000e+061370138211.550.08
5.6000e+06143814412.580.02
5.8000e+06149115008.860.06
6.0000e+0615661559-6.64-0.04
6.2000e+0616301619-10.91-0.07
6.4000e+0616951679-15.97-0.10
6.6000e+0617541739-14.82-0.09
6.8000e+0618021800-2.47-0.01
7.0000e+06185218608.070.05
7.2000e+061910192110.800.06
7.4000e+0619841982-2.30-0.01
7.6000e+0620432043-0.22-0.00
7.8000e+06210321041.030.01
8.0000e+06216121654.450.02
8.2000e+06222122276.020.03
8.4000e+06228022898.750.05
8.6000e+0623512351-0.37-0.00
8.8000e+0624152413-2.35-0.01
9.0000e+0624752475-0.19-0.00
9.2000e+06253325374.120.02
9.4000e+06259926000.560.00
9.6000e+062651266211.130.06
9.8000e+06271827256.820.04
1.0000e+07277927888.650.04
1.0500e+0729492945-3.76-0.02
1.1000e+073084310419.550.10
1.1500e+073227326335.540.17
1.2000e+073358342264.180.30
1.2500e+073526358256.430.26
1.3000e+073686374357.280.26
1.3500e+073852390552.680.24
1.4000e+074004406762.620.28
1.4500e+074164422965.070.28
1.5000e+074329439263.010.27
1.5500e+074495455560.430.25
1.6000e+074681471938.300.16
1.6500e+074846488437.600.15
1.7000e+075008504840.330.16
1.7500e+075170521343.470.17
1.8000e+075337537941.990.17
1.8500e+075511554533.900.13
1.9000e+075679571132.180.12
1.9500e+075856587821.810.08
2.0000e+076033604511.790.04
2.1000e+076368638011.730.04
2.2000e+07671267163.950.01
2.3000e+077041705312.350.04
2.4000e+0774047392-12.11-0.04
2.5000e+0777407732-8.49-0.03
2.6000e+0780878072-14.85-0.05
2.7000e+0784228414-8.24-0.03
2.8000e+0787658756-8.69-0.03
2.9000e+0791179100-17.25-0.06
3.0000e+07943594449.050.03
3.1000e+0797939789-3.83-0.01
3.2000e+071014510135-9.92-0.03
3.3000e+0710475104826.750.02
3.4000e+071084510829-15.85-0.05
3.5000e+071119211177-14.75-0.04
3.6000e+071152811526-1.96-0.01
3.7000e+071188411875-8.51-0.02
3.8000e+071224812226-22.43-0.06
3.9000e+071259212576-15.73-0.04
4.0000e+071294512928-17.44-0.05
4.1000e+071328413279-4.56-0.01
4.2000e+07136211363210.870.03
4.3000e+07139631398521.860.06
4.4000e+0714335143383.370.01
4.5000e+071470914692-16.60-0.04
4.6000e+071505215047-5.07-0.01
4.7000e+071542315402-21.06-0.05
4.8000e+071576815757-10.56-0.03
4.9000e+0716107161136.390.02
5.0000e+071648216470-12.20-0.03
5.2000e+071722917184-45.07-0.11
5.4000e+071794317900-43.26-0.10
5.6000e+071862018617-2.85-0.01
5.8000e+071936819336-31.90-0.07
6.0000e+072007620057-19.48-0.05
6.2000e+072081020778-31.65-0.07
6.4000e+072154821502-46.47-0.10
6.6000e+072230822226-81.99-0.18
6.8000e+072305822952-106.26-0.23
7.0000e+072378023679-101.31-0.22
7.2000e+072447224407-65.20-0.14
7.4000e+072520725136-70.97-0.15
7.6000e+072593125866-64.65-0.13
7.8000e+072669826598-100.27-0.21
8.0000e+072748627330-155.88-0.32
8.2000e+072816928064-105.50-0.21
8.4000e+072883028798-32.16-0.06
8.6000e+072958629533-52.89-0.10
8.8000e+073035830269-88.72-0.17
9.0000e+073111631006-109.67-0.21
9.2000e+073185931744-114.77-0.22
9.4000e+073261132483-128.04-0.24
9.6000e+073334933223-126.50-0.24
9.8000e+073414133963-178.17-0.33
1.0000e+083488134704-177.08-0.33
1.0500e+083673036560-170.11-0.31
1.1000e+083861538420-194.74-0.34
1.1500e+084045140285-166.21-0.29
1.2000e+084226842153-114.76-0.19
1.2500e+084416944025-143.58-0.24
1.3000e+084605945901-157.86-0.26
1.3500e+084790247780-121.78-0.20
1.4000e+084981849663-155.49-0.25
1.4500e+085179151548-243.12-0.38
1.5000e+085369053436-253.82-0.39
1.5500e+085564555327-317.71-0.48
1.6000e+085753857221-316.91-0.47
1.6500e+085931559117-197.50-0.29
1.7000e+086120461016-187.61-0.27
1.7500e+086312962918-211.32-0.30
1.8000e+086509164821-269.71-0.38
1.8500e+086690466727-176.87-0.25
1.9000e+086882168635-185.87-0.26
1.9500e+087072870545-182.78-0.25
2.0000e+087262272457-164.68-0.22
2.1000e+087642376287-135.69-0.18
2.2000e+088025380125-128.34-0.17
2.3000e+088413883969-169.08-0.21
2.4000e+088801887820-198.28-0.25
2.5000e+089183291677-155.28-0.19
2.6000e+089573395540-193.41-0.23
2.7000e+089961399408-204.95-0.24
2.8000e+08103488103282-206.17-0.24
2.9000e+08107407107161-246.30-0.28
3.0000e+08111210111044-165.58-0.19
3.1000e+08115156114933-223.22-0.25
3.2000e+08119048118826-222.40-0.24
3.3000e+08122873122723-150.30-0.16
3.4000e+08126863126624-239.09-0.25
3.5000e+08130787130529-257.93-0.27
3.6000e+08134740134438-301.96-0.31
3.7000e+08138649138351-298.32-0.31
3.8000e+08142585142267-318.13-0.32
3.9000e+08146360146186-173.53-0.17
4.0000e+08150172150109-62.62-0.06
4.1000e+08154115154035-79.50-0.08
4.2000e+08158127157965-162.29-0.16
4.3000e+08162021161897-124.07-0.12
4.4000e+08165982165832-149.94-0.14
4.5000e+08170004169770-233.99-0.22
4.6000e+08174045173711-334.29-0.31
4.7000e+08178102177654-447.92-0.41
4.8000e+08182028181600-427.96-0.39
4.9000e+08185931185549-382.48-0.35
5.0000e+08189927189499-427.54-0.38
5.2000e+08198036197408-627.56-0.55
5.4000e+08205970205326-643.50-0.56
5.6000e+08213849213253-595.80-0.51
5.8000e+08221775221188-586.86-0.49
6.0000e+08229593229131-462.06-0.38
6.2000e+08237518237081-436.74-0.36
6.4000e+08245494245039-455.23-0.36
6.6000e+08253451253003-447.81-0.35
6.8000e+08261426260974-451.77-0.35
7.0000e+08269371268952-419.37-0.32
7.2000e+08277378276935-442.84-0.34
7.4000e+08285450284925-525.42-0.39
7.6000e+08293517292920-597.31-0.44
7.8000e+08301565300920-644.71-0.47
8.0000e+08309529308926-602.82-0.44
8.2000e+08317599316937-661.80-0.47
8.4000e+08325551324953-597.83-0.42
8.6000e+08333566332974-592.06-0.42
8.8000e+08341521340999-521.65-0.36
9.0000e+08349601349029-571.73-0.39
9.2000e+08357509357064-445.45-0.30
9.4000e+08365636365102-533.92-0.36
9.6000e+08373729373145-584.27-0.39
9.8000e+08381667381191-475.61-0.31
1.0000e+09389634389242-392.06-0.26
1.0500e+09409795409385-410.34-0.26
1.1000e+09430199429550-649.44-0.41
1.1500e+09450192449735-456.73-0.28
1.2000e+09470541469941-600.45-0.36
1.2500e+09490839490164-674.70-0.40
1.3000e+09511058510406-652.49-0.38
1.3500e+09531563530663-899.74-0.51
1.4000e+09551884550937-947.29-0.53
1.4500e+09572132571225-906.91-0.50
1.5000e+09592413591528-885.30-0.48
1.5500e+09612705611844-861.13-0.46
1.6000e+09633072632173-899.01-0.48
1.6500e+09653362652515-847.48-0.44
1.7000e+09673637672868-769.08-0.40
1.7500e+09693826693233-593.29-0.30
1.8000e+09714411713608-802.57-0.40
1.8500e+09734724733995-729.34-0.36
1.9000e+09755143754391-752.01-0.37
1.9500e+09775703774797-905.93-0.44
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