Gap size : 26 (r=13)

Generated by program gapCounts : Mon Jun 27 12:36:56 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+020-0-0.01-0.00
2.0000e+020-0-0.00-0.00
3.0000e+020-0-0.01-0.00
4.0000e+020-0-0.01-0.00
5.0000e+020-0-0.01-0.00
6.0000e+020-0-0.01-0.00
7.0000e+020-0-0.00-0.00
8.0000e+02000.010.00
9.0000e+02000.020.00
1.0000e+03000.030.01
1.1000e+03000.050.01
1.2000e+03000.060.01
1.3000e+03000.080.02
1.4000e+03000.100.02
1.5000e+03000.130.02
1.6000e+03000.150.03
1.7000e+03000.180.03
1.8000e+03000.210.04
1.9000e+03000.240.04
2.0000e+03000.270.05
2.1000e+03000.300.05
2.2000e+03000.330.05
2.3000e+03000.370.06
2.4000e+03000.400.06
2.5000e+03000.440.07
2.6000e+0310-0.52-0.08
2.7000e+0311-0.48-0.07
2.8000e+0311-0.44-0.07
2.9000e+0311-0.40-0.06
3.0000e+0311-0.36-0.05
3.1000e+0311-0.31-0.05
3.2000e+0321-1.27-0.18
3.3000e+0321-1.23-0.17
3.4000e+0321-1.18-0.16
3.5000e+0321-1.13-0.16
3.6000e+0321-1.09-0.15
3.7000e+0321-1.04-0.14
3.8000e+0321-0.99-0.13
3.9000e+0321-0.94-0.12
4.0000e+0321-0.89-0.12
4.1000e+0321-0.84-0.11
4.2000e+0321-0.79-0.10
4.3000e+0321-0.74-0.09
4.4000e+0321-0.69-0.09
4.5000e+0321-0.63-0.08
4.6000e+0321-0.58-0.07
4.7000e+0321-0.53-0.06
4.8000e+0322-0.47-0.06
4.9000e+0322-0.42-0.05
5.0000e+0322-0.36-0.04
5.2000e+0322-0.25-0.03
5.4000e+0322-0.13-0.02
5.6000e+0332-1.02-0.12
5.8000e+0332-0.90-0.10
6.0000e+0332-0.78-0.09
6.2000e+0332-0.66-0.07
6.4000e+0332-0.54-0.06
6.6000e+0333-0.41-0.04
6.8000e+0333-0.29-0.03
7.0000e+0333-0.16-0.02
7.2000e+0333-0.03-0.00
7.4000e+03330.100.01
7.6000e+03330.230.02
7.8000e+03330.360.04
8.0000e+03330.500.05
8.2000e+03340.630.06
8.4000e+03340.770.08
8.6000e+03340.910.09
8.8000e+03341.040.10
9.0000e+03341.180.11
9.2000e+03341.320.13
9.4000e+03341.460.14
9.6000e+03351.610.15
9.8000e+03351.750.16
1.0000e+04351.890.17
1.0500e+04352.260.20
1.1000e+04362.620.23
1.1500e+04462.000.17
1.2000e+04462.380.20
1.2500e+04670.760.06
1.3000e+04671.140.10
1.3500e+04681.530.13
1.4000e+04681.930.16
1.4500e+04682.330.19
1.5000e+04791.730.14
1.5500e+04792.130.17
1.6000e+047102.540.19
1.6500e+048101.950.15
1.7000e+0410100.360.03
1.7500e+0410110.780.06
1.8000e+0410111.200.09
1.8500e+0410121.620.12
1.9000e+0410122.040.15
1.9500e+0410122.470.17
2.0000e+0410132.900.20
2.1000e+0411142.760.19
2.2000e+0411153.640.25
2.3000e+0411164.520.30
2.4000e+0411165.410.35
2.5000e+0412175.300.34
2.6000e+0412186.200.39
2.7000e+0414195.110.32
2.8000e+0414206.030.37
2.9000e+0414216.950.42
3.0000e+0416225.880.35
3.1000e+0416236.810.40
3.2000e+0417246.740.39
3.3000e+0418256.690.38
3.4000e+0418267.630.43
3.5000e+0419277.580.42
3.6000e+0421286.540.36
3.7000e+0424284.500.25
3.8000e+0425294.460.24
3.9000e+0425305.430.29
4.0000e+0427314.400.23
4.1000e+0429323.370.18
4.2000e+0429334.350.23
4.3000e+0429345.330.27
4.4000e+0430355.320.27
4.5000e+0431365.300.27
4.6000e+0431376.290.32
4.7000e+0432386.290.31
4.8000e+0432397.290.36
4.9000e+0434406.280.31
5.0000e+0435416.290.30
5.2000e+0435438.300.40
5.4000e+0438457.320.34
5.6000e+0439478.350.39
5.8000e+0443496.390.29
6.0000e+0448513.440.15
6.2000e+0448545.500.24
6.4000e+0449566.570.29
6.6000e+0452585.640.24
6.8000e+0454605.720.24
7.0000e+0454627.810.33
7.2000e+0454649.900.41
7.4000e+04556611.000.45
7.6000e+04586810.110.41
7.8000e+0461709.220.37
8.0000e+0463729.340.37
8.2000e+0466748.470.33
8.4000e+0471775.600.22
8.6000e+0473795.730.22
8.8000e+0474816.870.26
9.0000e+0474839.010.34
9.2000e+04758510.160.38
9.4000e+04778710.320.39
9.6000e+04798910.470.39
9.8000e+0485926.630.24
1.0000e+0588945.800.21
1.0500e+0591998.230.29
1.1000e+05991055.690.20
1.1500e+051041106.170.21
1.2000e+051071168.660.29
1.2500e+0511112110.180.34
1.3000e+051171279.720.32
1.3500e+0512013212.270.39
1.4000e+051281389.840.31
1.4500e+051351438.420.26
1.5000e+0513814911.020.34
1.5500e+0514315511.630.35
1.6000e+0514716013.260.40
1.6500e+0515516610.900.32
1.7000e+0515817213.550.40
1.7500e+0516517712.210.35
1.8000e+051731839.880.28
1.8500e+051791899.570.27
1.9000e+051871947.260.20
1.9500e+051912008.960.25
2.0000e+051982067.680.21
2.1000e+052122175.130.14
2.2000e+052252293.620.09
2.3000e+05241240-0.87-0.02
2.4000e+05258252-6.32-0.16
2.5000e+05271263-7.75-0.19
2.6000e+05281275-6.15-0.15
2.7000e+05294286-7.53-0.18
2.8000e+05305298-6.88-0.16
2.9000e+05314310-4.21-0.10
3.0000e+05328321-6.53-0.15
3.1000e+053313332.180.05
3.2000e+053413453.910.09
3.3000e+053503576.650.15
3.4000e+053633685.410.12
3.5000e+053733807.180.15
3.6000e+053873924.970.11
3.7000e+053974046.780.14
3.8000e+054064169.590.20
3.9000e+054184279.430.19
4.0000e+0542743912.270.25
4.1000e+0543245119.120.39
4.2000e+0544546317.990.36
4.3000e+0545447520.870.41
4.4000e+0546648720.760.41
4.5000e+0547349925.660.50
4.6000e+0548851122.570.43
4.7000e+0550052222.490.43
4.8000e+0551053424.420.46
4.9000e+0551854628.360.53
5.0000e+0553955819.300.36
5.2000e+0556658216.220.30
5.4000e+0559660610.170.18
5.6000e+056276303.150.06
5.8000e+05656654-1.85-0.03
6.0000e+05679678-0.82-0.01
6.2000e+057017021.240.02
6.4000e+05729726-2.68-0.04
6.6000e+05751750-0.58-0.01
6.8000e+05785775-10.46-0.17
7.0000e+05811799-12.32-0.20
7.2000e+05834823-11.16-0.18
7.4000e+05859847-11.98-0.19
7.6000e+05883871-11.78-0.18
7.8000e+05909895-13.57-0.21
8.0000e+05926920-6.35-0.10
8.2000e+05948944-4.11-0.06
8.4000e+05971968-2.85-0.04
8.6000e+059909922.410.04
8.8000e+05101010176.690.10
9.0000e+05103810412.980.04
9.2000e+0510691065-3.71-0.05
9.4000e+0511001090-10.40-0.15
9.6000e+0511221114-8.07-0.11
9.8000e+0511541138-15.74-0.22
1.0000e+0611751163-12.39-0.17
1.0500e+0612301224-6.49-0.09
1.1000e+0612871284-2.53-0.03
1.1500e+0613461345-0.52-0.01
1.2000e+0614161407-9.47-0.12
1.2500e+0614801468-12.38-0.16
1.3000e+0615441529-15.25-0.19
1.3500e+0616051590-15.09-0.18
1.4000e+0616711651-19.90-0.24
1.4500e+0617461712-33.68-0.40
1.5000e+0618111774-37.43-0.43
1.5500e+0618751835-40.16-0.46
1.6000e+0619381896-41.86-0.47
1.6500e+0619871957-29.55-0.33
1.7000e+0620582019-39.21-0.43
1.7500e+0621242080-43.86-0.48
1.8000e+0621772142-35.49-0.38
1.8500e+0622452203-42.11-0.45
1.9000e+0623092264-44.71-0.47
1.9500e+0623842326-58.30-0.60
2.0000e+0624342387-46.88-0.48
2.1000e+0625532510-43.00-0.43
2.2000e+0626752633-42.08-0.41
2.3000e+0627892756-33.14-0.32
2.4000e+0628942879-15.16-0.14
2.5000e+0630043002-2.16-0.02
2.6000e+06312231252.850.03
2.7000e+0632553248-7.11-0.06
2.8000e+0633823371-11.07-0.10
2.9000e+0635213494-27.01-0.24
3.0000e+0636653617-47.95-0.41
3.1000e+0637983740-57.88-0.49
3.2000e+0639203863-56.81-0.48
3.3000e+0640303986-43.73-0.36
3.4000e+0641314109-21.66-0.18
3.5000e+0642574232-24.59-0.20
3.6000e+0643844355-28.52-0.23
3.7000e+0645104479-31.45-0.25
3.8000e+0646384602-36.39-0.28
3.9000e+0647674725-42.33-0.33
4.0000e+0648934848-45.28-0.34
4.1000e+0650114971-40.24-0.30
4.2000e+0651255094-31.20-0.23
4.3000e+0652595217-42.18-0.31
4.4000e+0653895340-49.16-0.36
4.5000e+0655125463-49.16-0.35
4.6000e+0656465586-60.16-0.43
4.7000e+0657705709-61.17-0.43
4.8000e+0658965832-64.20-0.45
4.9000e+0660125955-57.24-0.40
5.0000e+0661536078-75.29-0.52
5.2000e+0664086324-84.43-0.57
5.4000e+0666606569-90.61-0.60
5.6000e+0668956815-79.86-0.52
5.8000e+0671417061-80.16-0.52
6.0000e+0673957306-88.51-0.56
6.2000e+0676437552-90.92-0.57
6.4000e+0679107798-112.39-0.70
6.6000e+0681718043-127.93-0.78
6.8000e+0684068288-117.52-0.71
7.0000e+0686598534-125.17-0.75
7.2000e+0688948779-114.88-0.68
7.4000e+0691169024-91.65-0.53
7.6000e+0693519270-81.49-0.47
7.8000e+0695969515-81.38-0.46
8.0000e+0698389760-78.34-0.44
8.2000e+061010610005-101.36-0.56
8.4000e+061034110250-91.44-0.50
8.6000e+061055510494-60.58-0.33
8.8000e+061077410739-34.78-0.19
9.0000e+061100410984-20.04-0.11
9.2000e+061124211229-13.37-0.07
9.4000e+061149611473-22.75-0.12
9.6000e+061174111718-23.20-0.12
9.8000e+061198811962-25.70-0.13
1.0000e+071224912207-42.26-0.22
1.0500e+071285512818-37.43-0.19
1.1000e+071347913428-50.97-0.25
1.1500e+071405514038-16.86-0.08
1.2000e+071467514648-27.11-0.13
1.2500e+071527415257-16.71-0.08
1.3000e+0715863158663.350.02
1.3500e+0716470164755.070.02
1.4000e+0717077170836.460.03
1.4500e+0717684176927.510.03
1.5000e+071831818299-18.75-0.08
1.5500e+071894518907-38.32-0.16
1.6000e+071954219514-28.21-0.12
1.6500e+072017320121-52.41-0.21
1.7000e+072077120727-43.90-0.18
1.7500e+072138121333-47.70-0.19
1.8000e+072198021939-40.78-0.16
1.8500e+072261722545-72.15-0.28
1.9000e+072318223150-31.80-0.12
1.9500e+072377523755-19.73-0.08
2.0000e+072438724360-26.93-0.10
2.1000e+072561125569-42.15-0.16
2.2000e+072686026777-83.40-0.30
2.3000e+072809827983-114.68-0.41
2.4000e+072932029189-130.94-0.45
2.5000e+073054330394-149.16-0.51
2.6000e+073175131598-153.32-0.51
2.7000e+073299132801-190.39-0.63
2.8000e+073419734003-194.35-0.63
2.9000e+073540735204-203.17-0.65
3.0000e+073659836404-193.84-0.61
3.1000e+073778637604-182.33-0.56
3.2000e+073900938802-206.63-0.63
3.3000e+074016340000-162.72-0.49
3.4000e+074135641197-158.58-0.47
3.5000e+074258242394-188.19-0.55
3.6000e+074382043589-230.54-0.67
3.7000e+074498944784-204.61-0.59
3.8000e+074616245979-183.40-0.52
3.9000e+074734947172-176.87-0.50
4.0000e+074850148365-136.03-0.38
4.1000e+074969149557-133.86-0.37
4.2000e+075091850749-169.34-0.46
4.3000e+075217051940-230.46-0.62
4.4000e+075338653130-256.22-0.68
4.5000e+075454954319-229.60-0.60
4.6000e+075571055508-201.59-0.52
4.7000e+075689756697-200.18-0.52
4.8000e+075807357885-188.36-0.48
4.9000e+075924359072-171.12-0.43
5.0000e+076046760259-208.45-0.52
5.2000e+076285062630-219.79-0.54
5.4000e+076518765000-187.31-0.45
5.6000e+076754267367-174.95-0.42
5.8000e+076991069732-177.64-0.42
6.0000e+077226772096-171.33-0.40
6.2000e+077457474457-116.96-0.27
6.4000e+077702176817-204.49-0.46
6.6000e+077940079174-225.85-0.50
6.8000e+078178581530-255.02-0.56
7.0000e+078416183884-276.94-0.60
7.2000e+078655786236-320.57-0.68
7.4000e+078889788587-309.87-0.65
7.6000e+079122090936-283.81-0.59
7.8000e+079359193284-307.34-0.63
8.0000e+079600095630-370.44-0.75
8.2000e+079834497974-370.08-0.74
8.4000e+07100707100317-390.21-0.78
8.6000e+07103110102658-451.81-0.89
8.8000e+07105412104998-413.85-0.81
9.0000e+07107787107337-450.30-0.87
9.2000e+07110117109674-443.14-0.85
9.4000e+07112439112010-429.34-0.81
9.6000e+07114840114344-495.88-0.93
9.8000e+07117123116677-445.72-0.83
1.0000e+08119465119009-455.86-0.84
1.0500e+08125307124833-473.69-0.85
1.1000e+08131111130650-461.10-0.81
1.1500e+08136836136459-376.80-0.65
1.2000e+08142623142261-361.52-0.61
1.2500e+08148428148057-370.98-0.62
1.3000e+08154138153846-291.97-0.48
1.3500e+08160031159629-402.24-0.65
1.4000e+08165793165405-387.61-0.61
1.4500e+08171512171176-335.87-0.52
1.5000e+08177266176941-324.84-0.50
1.5500e+08183012182701-311.36-0.47
1.6000e+08188798188455-343.27-0.51
1.6500e+08194652194204-448.40-0.66
1.7000e+08200439199947-491.63-0.71
1.7500e+08206214205686-527.82-0.76
1.8000e+08211897211420-476.83-0.68
1.8500e+08217729217149-579.55-0.81
1.9000e+08223516222874-641.86-0.89
1.9500e+08229277228594-682.66-0.93
2.0000e+08234976234310-665.83-0.90
2.1000e+08246430245729-700.91-0.93
2.2000e+08257737257132-605.38-0.78
2.3000e+08269056268518-537.53-0.68
2.4000e+08280400279890-509.76-0.63
2.5000e+08291528291248-280.47-0.34
2.6000e+08302786302591-195.14-0.23
2.7000e+08314059313921-138.27-0.16
2.8000e+08325384325238-146.40-0.17
2.9000e+08336558336542-16.11-0.02
3.0000e+08348017347834-182.97-0.21
3.1000e+08359261359114-146.63-0.16
3.2000e+08370582370383-198.73-0.22
3.3000e+08381790381641-148.93-0.16
3.4000e+08393015392888-126.91-0.14
3.5000e+08404182404125-57.39-0.06
3.6000e+08415519415351-168.08-0.17
3.7000e+08426667426567-99.71-0.10
3.8000e+08437790437774-16.04-0.02
3.9000e+08448972448971-0.82-0.00
4.0000e+0846006846015991.170.09
4.1000e+08471154471338184.160.18
4.2000e+08482249482508259.340.25
4.3000e+08493293493670376.920.36
4.4000e+08504251504823572.090.54
4.5000e+08515524515968444.020.42
4.6000e+08526627527105477.900.44
4.7000e+08537810538234423.880.39
4.8000e+08549008549355347.120.32
4.9000e+08560199560469269.780.24
5.0000e+08571394571575181.000.16
5.2000e+08593461593766304.700.27
5.4000e+08615427615928501.290.43
5.6000e+08637798638064265.750.23
5.8000e+08659952660173221.010.19
6.0000e+08681758682257498.940.41
6.2000e+08703854704316462.340.38
6.4000e+08725995726352356.970.29
6.6000e+08748062748365302.540.24
6.8000e+08769978770355376.720.29
7.0000e+08792026792323297.140.23
7.2000e+08814036814270234.410.18
7.4000e+08836047836197150.080.11
7.6000e+08857921858104182.690.14
7.8000e+08879630879991360.760.26
8.0000e+08901516901859342.750.25
8.2000e+08923435923708273.150.20
8.4000e+08945367945539172.370.12
8.6000e+08967396967353-43.16-0.03
8.8000e+0898906298914986.970.06
9.0000e+0810106361010928292.120.20
9.2000e+0810325161032691174.670.12
9.4000e+081054416105443720.970.01
9.6000e+081076137107616730.340.02
9.8000e+0810977061097882176.120.12
1.0000e+0911195851119582-3.39-0.00
1.0500e+0911738111173765-45.63-0.03
1.1000e+0912279981227860-138.26-0.09
1.1500e+0912819451281869-76.32-0.05
1.2000e+0913358231335796-27.19-0.02
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