Gap size : 70 (r=35)

Generated by program gapCounts : Mon Jun 27 12:44:13 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+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+03000.000.00
6.4000e+03000.000.00
6.6000e+03000.000.00
6.8000e+03000.000.00
7.0000e+03000.000.00
7.2000e+03000.000.00
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+04000.010.00
1.8000e+04000.010.00
1.8500e+04000.010.00
1.9000e+04000.010.00
1.9500e+04000.010.00
2.0000e+04000.010.00
2.1000e+04000.010.00
2.2000e+04000.010.00
2.3000e+04000.010.00
2.4000e+04000.010.00
2.5000e+04000.010.00
2.6000e+04000.020.00
2.7000e+04000.020.00
2.8000e+04000.020.00
2.9000e+04000.020.00
3.0000e+04000.020.00
3.1000e+04000.030.00
3.2000e+04000.030.00
3.3000e+04000.030.00
3.4000e+04000.030.00
3.5000e+04000.030.00
3.6000e+04000.040.00
3.7000e+04000.040.00
3.8000e+04000.040.00
3.9000e+04000.050.00
4.0000e+04000.050.00
4.1000e+04000.050.00
4.2000e+04000.050.00
4.3000e+04000.060.00
4.4000e+04000.060.00
4.5000e+04000.060.00
4.6000e+04000.070.00
4.7000e+04000.070.00
4.8000e+04000.070.00
4.9000e+04000.080.00
5.0000e+04000.080.00
5.2000e+04000.090.00
5.4000e+04000.100.00
5.6000e+04000.110.00
5.8000e+04000.120.01
6.0000e+04000.120.01
6.2000e+04000.130.01
6.4000e+04000.140.01
6.6000e+04000.150.01
6.8000e+04000.160.01
7.0000e+04000.170.01
7.2000e+04000.180.01
7.4000e+04000.200.01
7.6000e+04000.210.01
7.8000e+04000.220.01
8.0000e+04000.230.01
8.2000e+04000.240.01
8.4000e+04000.260.01
8.6000e+04000.270.01
8.8000e+04000.280.01
9.0000e+04000.290.01
9.2000e+04000.310.01
9.4000e+04000.320.01
9.6000e+04000.340.01
9.8000e+04000.350.01
1.0000e+05000.360.01
1.0500e+05000.400.01
1.1000e+05000.440.02
1.1500e+05000.480.02
1.2000e+05010.520.02
1.2500e+05010.570.02
1.3000e+05010.610.02
1.3500e+05010.660.02
1.4000e+05010.710.02
1.4500e+05010.750.02
1.5000e+05010.800.02
1.5500e+05010.860.03
1.6000e+05010.910.03
1.6500e+05010.960.03
1.7000e+05011.020.03
1.7500e+05110.070.00
1.8000e+0521-0.87-0.02
1.8500e+0521-0.81-0.02
1.9000e+0531-1.75-0.05
1.9500e+0531-1.69-0.05
2.0000e+0531-1.63-0.04
2.1000e+0541-2.50-0.07
2.2000e+0552-3.37-0.09
2.3000e+0552-3.24-0.08
2.4000e+0552-3.10-0.08
2.5000e+0552-2.96-0.07
2.6000e+0562-3.81-0.09
2.7000e+0562-3.66-0.09
2.8000e+0562-3.51-0.08
2.9000e+0563-3.35-0.08
3.0000e+0563-3.19-0.07
3.1000e+0573-4.03-0.09
3.2000e+0573-3.87-0.09
3.3000e+0573-3.70-0.08
3.4000e+0573-3.52-0.08
3.5000e+0574-3.35-0.07
3.6000e+0574-3.17-0.07
3.7000e+0574-2.99-0.06
3.8000e+0574-2.81-0.06
3.9000e+0574-2.62-0.05
4.0000e+0585-3.43-0.07
4.1000e+0585-3.24-0.07
4.2000e+0585-3.05-0.06
4.3000e+0585-2.85-0.06
4.4000e+0585-2.65-0.05
4.5000e+0596-3.45-0.07
4.6000e+05116-5.24-0.10
4.7000e+05116-5.04-0.10
4.8000e+05116-4.83-0.09
4.9000e+05116-4.62-0.09
5.0000e+05117-4.40-0.08
5.2000e+05127-4.97-0.09
5.4000e+05137-5.53-0.10
5.6000e+05148-6.08-0.11
5.8000e+05148-5.62-0.10
6.0000e+05149-5.15-0.09
6.2000e+05149-4.67-0.08
6.4000e+051410-4.19-0.07
6.6000e+051510-4.70-0.08
6.8000e+051711-6.20-0.10
7.0000e+051711-5.70-0.09
7.2000e+051912-7.19-0.11
7.4000e+052012-7.67-0.12
7.6000e+052013-7.14-0.11
7.8000e+052113-7.61-0.12
8.0000e+052114-7.07-0.11
8.2000e+052114-6.53-0.10
8.4000e+052115-5.98-0.09
8.6000e+052116-5.42-0.08
8.8000e+052116-4.86-0.07
9.0000e+052117-4.29-0.06
9.2000e+052217-4.72-0.07
9.4000e+052218-4.14-0.06
9.6000e+052218-3.55-0.05
9.8000e+052219-2.96-0.04
1.0000e+062220-2.36-0.03
1.0500e+062521-3.85-0.05
1.1000e+062823-5.31-0.07
1.1500e+062924-4.74-0.06
1.2000e+063126-5.13-0.07
1.2500e+063427-6.50-0.08
1.3000e+063529-5.84-0.07
1.3500e+063631-5.16-0.06
1.4000e+063733-4.45-0.05
1.4500e+064034-5.71-0.07
1.5000e+064336-6.95-0.08
1.5500e+064338-5.17-0.06
1.6000e+064740-7.37-0.08
1.6500e+064841-6.54-0.07
1.7000e+065043-6.69-0.07
1.7500e+065345-7.82-0.08
1.8000e+065647-8.93-0.10
1.8500e+065749-8.02-0.09
1.9000e+065851-7.09-0.07
1.9500e+066053-7.14-0.07
2.0000e+066255-7.18-0.07
2.1000e+066559-6.19-0.06
2.2000e+066763-4.13-0.04
2.3000e+067367-6.00-0.06
2.4000e+067871-6.81-0.06
2.5000e+068275-6.56-0.06
2.6000e+068580-5.24-0.05
2.7000e+069184-6.87-0.06
2.8000e+069989-10.45-0.09
2.9000e+0610493-10.96-0.10
3.0000e+0611398-15.43-0.13
3.1000e+06120102-17.85-0.15
3.2000e+06126107-19.21-0.16
3.3000e+06133111-21.53-0.18
3.4000e+06140116-23.80-0.19
3.5000e+06143121-22.02-0.18
3.6000e+06154126-28.20-0.22
3.7000e+06157131-26.34-0.21
3.8000e+06157136-21.43-0.17
3.9000e+06166141-25.49-0.20
4.0000e+06168146-22.50-0.17
4.1000e+06171151-20.47-0.15
4.2000e+06180156-24.41-0.18
4.3000e+06182161-21.31-0.16
4.4000e+06185166-19.17-0.14
4.5000e+06191171-19.99-0.14
4.6000e+06195176-18.78-0.13
4.7000e+06198181-16.53-0.12
4.8000e+06210187-23.25-0.16
4.9000e+06215192-22.94-0.16
5.0000e+06218197-20.59-0.14
5.2000e+06227208-18.81-0.13
5.4000e+06235219-15.90-0.11
5.6000e+06248230-17.87-0.12
5.8000e+06257241-15.72-0.10
6.0000e+06267253-14.46-0.09
6.2000e+06283264-19.09-0.12
6.4000e+06296275-20.62-0.13
6.6000e+06308287-21.05-0.13
6.8000e+06325299-26.37-0.16
7.0000e+06335310-24.60-0.15
7.2000e+06351322-28.74-0.17
7.4000e+06362334-27.78-0.16
7.6000e+06373346-26.74-0.15
7.8000e+06389358-30.61-0.17
8.0000e+06405371-34.39-0.19
8.2000e+06418383-35.09-0.20
8.4000e+06433395-37.71-0.21
8.6000e+06447408-39.25-0.21
8.8000e+06458420-37.71-0.20
9.0000e+06468433-35.10-0.19
9.2000e+06478446-32.41-0.17
9.4000e+06491458-32.66-0.17
9.6000e+06505471-33.83-0.18
9.8000e+06514484-29.93-0.15
1.0000e+07524497-26.96-0.14
1.0500e+07561530-31.25-0.16
1.1000e+07597563-34.14-0.17
1.1500e+07630596-33.64-0.16
1.2000e+07660630-29.78-0.14
1.2500e+07683664-18.57-0.09
1.3000e+07711699-12.02-0.05
1.3500e+07750734-16.14-0.07
1.4000e+07783769-13.95-0.06
1.4500e+07823805-18.46-0.08
1.5000e+07866840-25.67-0.11
1.5500e+07906876-29.60-0.12
1.6000e+07947913-34.26-0.14
1.6500e+07989949-39.65-0.16
1.7000e+071027986-40.78-0.16
1.7500e+0710591023-35.66-0.14
1.8000e+0710891061-28.29-0.11
1.8500e+0711271098-28.69-0.11
1.9000e+0711601136-23.86-0.09
1.9500e+0711971174-22.80-0.09
2.0000e+0712301212-17.52-0.07
2.1000e+0713131290-23.32-0.09
2.2000e+0713821368-14.31-0.05
2.3000e+0714641446-17.52-0.06
2.4000e+0715491526-22.98-0.08
2.5000e+0716311606-24.73-0.08
2.6000e+0716891687-1.78-0.01
2.7000e+07176617692.820.01
2.8000e+07184718514.070.01
2.9000e+0719421934-8.08-0.03
3.0000e+0720272017-9.63-0.03
3.1000e+0721132101-11.60-0.04
3.2000e+0722062186-20.02-0.06
3.3000e+0723012271-29.90-0.09
3.4000e+0723842357-27.26-0.08
3.5000e+0724582443-15.11-0.04
3.6000e+0725502530-20.47-0.06
3.7000e+0726342617-17.35-0.05
3.8000e+0727252704-20.76-0.06
3.9000e+0728152792-22.72-0.06
4.0000e+0729052881-24.24-0.07
4.1000e+0729972970-27.32-0.07
4.2000e+0730963059-36.99-0.10
4.3000e+0731843149-35.25-0.09
4.4000e+0732673239-28.11-0.07
4.5000e+0733533329-23.57-0.06
4.6000e+0734543420-33.65-0.09
4.7000e+0735483512-36.36-0.09
4.8000e+0736343603-30.70-0.08
4.9000e+0737173695-21.68-0.05
5.0000e+0738163788-28.32-0.07
5.2000e+0740123973-38.55-0.09
5.4000e+0742074161-46.47-0.11
5.6000e+0744134349-64.11-0.15
5.8000e+0745954538-56.52-0.13
6.0000e+0747804729-50.74-0.12
6.2000e+0749624921-40.82-0.09
6.4000e+0751685114-53.80-0.12
6.6000e+0753585308-49.70-0.11
6.8000e+0755485503-44.56-0.10
7.0000e+0757625700-62.41-0.13
7.2000e+0759705897-73.29-0.16
7.4000e+0761776095-82.21-0.17
7.6000e+0763766294-82.21-0.17
7.8000e+0765706494-76.31-0.16
8.0000e+0767706694-75.53-0.15
8.2000e+0769976896-100.90-0.20
8.4000e+0771887099-89.43-0.18
8.6000e+0773807302-78.15-0.15
8.8000e+0775827506-76.08-0.15
9.0000e+0777817711-70.23-0.14
9.2000e+0779747916-57.63-0.11
9.4000e+0781878123-64.28-0.12
9.6000e+0783968330-66.21-0.12
9.8000e+0786038538-65.44-0.12
1.0000e+0888138746-66.96-0.12
1.0500e+0893509270-79.84-0.14
1.1000e+0898879798-88.67-0.16
1.1500e+081041010330-79.66-0.14
1.2000e+081092110866-54.96-0.09
1.2500e+081143511405-29.73-0.05
1.3000e+081197711948-29.14-0.05
1.3500e+081255212494-58.29-0.09
1.4000e+081311113043-68.33-0.11
1.4500e+081367013595-75.37-0.12
1.5000e+081419414149-44.51-0.07
1.5500e+081473414707-26.85-0.04
1.6000e+081529215268-24.49-0.04
1.6500e+081584815830-17.52-0.03
1.7000e+081641616396-20.01-0.03
1.7500e+0816961169642.950.00
1.8000e+081753517534-0.70-0.00
1.8500e+081813218107-25.04-0.04
1.9000e+081874718682-65.13-0.09
1.9500e+081930219259-43.03-0.06
2.0000e+081994819838-109.81-0.15
2.1000e+082113821003-135.19-0.18
2.2000e+082231122175-135.68-0.18
2.3000e+082348223355-126.66-0.16
2.4000e+082462424543-81.48-0.10
2.5000e+082577025737-33.43-0.04
2.6000e+082696626937-28.82-0.03
2.7000e+082820928144-64.90-0.08
2.8000e+082946529357-107.91-0.13
2.9000e+083067630576-100.10-0.11
3.0000e+083189031800-89.66-0.10
3.1000e+083309333030-62.79-0.07
3.2000e+083433334265-67.68-0.07
3.3000e+083557235506-66.50-0.07
3.4000e+083680536751-54.41-0.06
3.5000e+083803738000-36.56-0.04
3.6000e+083930939255-54.10-0.06
3.7000e+084055640514-42.15-0.04
3.8000e+084180641777-28.86-0.03
3.9000e+084306443045-19.34-0.02
4.0000e+084439044316-73.70-0.07
4.1000e+084565245592-60.05-0.06
4.2000e+084694746872-75.49-0.07
4.3000e+084827148155-116.13-0.11
4.4000e+084957849442-136.06-0.13
4.5000e+085090050733-167.36-0.16
4.6000e+085216552027-138.12-0.13
4.7000e+085345553325-130.43-0.12
4.8000e+085477154626-145.36-0.13
4.9000e+085606655930-135.98-0.12
5.0000e+085733757238-99.37-0.09
5.2000e+085995959862-96.71-0.09
5.4000e+086254462499-44.91-0.04
5.6000e+08650926514855.570.05
5.8000e+0867805678072.270.00
6.0000e+087049370478-15.21-0.01
6.2000e+08731057315953.750.04
6.4000e+08757947585055.780.04
6.6000e+08784647855186.550.07
6.8000e+088115681261104.760.08
7.0000e+088380483980176.100.14
7.2000e+088654586708163.290.12
7.4000e+088931689445129.080.10
7.6000e+08921719219019.210.01
7.8000e+08948839494360.460.04
8.0000e+089754797705157.590.11
8.2000e+08100290100473183.410.13
8.4000e+08103128103250121.700.09
8.6000e+08105912106033121.290.09
8.8000e+08108658108824165.980.12
9.0000e+08111422111622199.620.14
9.2000e+08114283114426143.020.10
9.4000e+08117069117237168.040.11
9.6000e+08119813120055241.520.16
9.8000e+08122711122878167.320.11
1.0000e+09125564125708144.300.09
1.0500e+0913272813280981.440.05
1.1000e+0913991713994629.480.02
1.1500e+09147167147118-49.33-0.03
1.2000e+0915426415432157.410.03
1.2500e+09161433161556123.260.07
1.3000e+0916872616882194.870.06
1.3500e+0917605317611461.010.03
1.4000e+0918338518343549.560.03
1.4500e+09190853190781-71.55-0.04
1.5000e+09198205198154-51.28-0.03
1.5500e+09205605205550-54.55-0.03
1.6000e+09213062212971-91.21-0.05
1.6500e+09220417220414-3.06-0.00
1.7000e+0922785322787926.170.01
1.7500e+0923533523536630.770.02
1.8000e+09242906242873-32.91-0.02
1.8500e+0925037125040029.500.01
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