Gap size : 138 (r=69)

Generated by program gapCounts : Mon Jun 27 12:45:47 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+030-0-0.00-0.00
4.0000e+030-0-0.00-0.00
4.1000e+030-0-0.00-0.00
4.2000e+030-0-0.00-0.00
4.3000e+030-0-0.00-0.00
4.4000e+030-0-0.00-0.00
4.5000e+030-0-0.00-0.00
4.6000e+030-0-0.00-0.00
4.7000e+030-0-0.00-0.00
4.8000e+030-0-0.00-0.00
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+03000.000.00
7.0000e+03000.000.00
7.2000e+03000.000.00
7.4000e+03000.000.00
7.6000e+030-0-0.00-0.00
7.8000e+030-0-0.00-0.00
8.0000e+030-0-0.00-0.00
8.2000e+030-0-0.00-0.00
8.4000e+030-0-0.00-0.00
8.6000e+030-0-0.00-0.00
8.8000e+030-0-0.00-0.00
9.0000e+030-0-0.00-0.00
9.2000e+030-0-0.00-0.00
9.4000e+030-0-0.00-0.00
9.6000e+030-0-0.00-0.00
9.8000e+030-0-0.00-0.00
1.0000e+040-0-0.00-0.00
1.0500e+040-0-0.00-0.00
1.1000e+040-0-0.00-0.00
1.1500e+040-0-0.00-0.00
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+05000.000.00
1.6000e+05000.000.00
1.6500e+05000.000.00
1.7000e+05000.000.00
1.7500e+05000.000.00
1.8000e+05000.000.00
1.8500e+05000.000.00
1.9000e+05000.000.00
1.9500e+05000.000.00
2.0000e+05000.000.00
2.1000e+05000.000.00
2.2000e+05000.000.00
2.3000e+05000.000.00
2.4000e+05000.000.00
2.5000e+05000.000.00
2.6000e+05000.000.00
2.7000e+05000.000.00
2.8000e+05000.000.00
2.9000e+05000.000.00
3.0000e+05000.000.00
3.1000e+05000.000.00
3.2000e+05000.000.00
3.3000e+05000.000.00
3.4000e+05000.000.00
3.5000e+05000.000.00
3.6000e+05000.000.00
3.7000e+05000.000.00
3.8000e+05000.000.00
3.9000e+05000.000.00
4.0000e+05000.000.00
4.1000e+05000.000.00
4.2000e+05000.000.00
4.3000e+05000.000.00
4.4000e+05000.000.00
4.5000e+05000.000.00
4.6000e+05000.000.00
4.7000e+05000.000.00
4.8000e+05000.000.00
4.9000e+05000.000.00
5.0000e+05000.000.00
5.2000e+05000.000.00
5.4000e+05000.000.00
5.6000e+05000.000.00
5.8000e+05000.000.00
6.0000e+05000.000.00
6.2000e+05000.000.00
6.4000e+05000.010.00
6.6000e+05000.010.00
6.8000e+05000.010.00
7.0000e+05000.010.00
7.2000e+05000.010.00
7.4000e+05000.010.00
7.6000e+05000.010.00
7.8000e+05000.010.00
8.0000e+05000.010.00
8.2000e+05000.010.00
8.4000e+05000.010.00
8.6000e+05000.010.00
8.8000e+05000.010.00
9.0000e+05000.010.00
9.2000e+05000.010.00
9.4000e+05000.010.00
9.6000e+05000.010.00
9.8000e+05000.020.00
1.0000e+06000.020.00
1.0500e+06000.020.00
1.1000e+06000.020.00
1.1500e+06000.020.00
1.2000e+06000.020.00
1.2500e+06000.030.00
1.3000e+06000.030.00
1.3500e+06000.030.00
1.4000e+06000.030.00
1.4500e+06000.040.00
1.5000e+06000.040.00
1.5500e+06000.040.00
1.6000e+06000.050.00
1.6500e+06000.050.00
1.7000e+06000.050.00
1.7500e+06000.060.00
1.8000e+06000.060.00
1.8500e+06000.060.00
1.9000e+06000.070.00
1.9500e+06000.070.00
2.0000e+06000.080.00
2.1000e+06000.080.00
2.2000e+06000.090.00
2.3000e+06000.100.00
2.4000e+06000.110.00
2.5000e+06000.120.00
2.6000e+06000.130.00
2.7000e+06000.140.00
2.8000e+06000.150.00
2.9000e+06000.170.00
3.0000e+06000.180.00
3.1000e+06000.190.00
3.2000e+06000.200.00
3.3000e+06000.220.00
3.4000e+06000.230.00
3.5000e+06000.240.00
3.6000e+06000.260.00
3.7000e+06000.270.00
3.8000e+06000.290.00
3.9000e+0610-0.70-0.01
4.0000e+0610-0.68-0.01
4.1000e+0610-0.67-0.01
4.2000e+0610-0.65-0.00
4.3000e+0610-0.63-0.00
4.4000e+0610-0.62-0.00
4.5000e+0610-0.60-0.00
4.6000e+0610-0.58-0.00
4.7000e+0610-0.56-0.00
4.8000e+0610-0.54-0.00
4.9000e+0610-0.52-0.00
5.0000e+0610-0.51-0.00
5.2000e+0611-0.47-0.00
5.4000e+0611-0.43-0.00
5.6000e+0611-0.38-0.00
5.8000e+0611-0.34-0.00
6.0000e+0611-0.30-0.00
6.2000e+0611-0.25-0.00
6.4000e+0611-0.21-0.00
6.6000e+0611-0.16-0.00
6.8000e+0611-0.11-0.00
7.0000e+0611-0.06-0.00
7.2000e+0611-0.01-0.00
7.4000e+06110.040.00
7.6000e+06110.100.00
7.8000e+0621-0.85-0.00
8.0000e+0621-0.79-0.00
8.2000e+0621-0.73-0.00
8.4000e+0621-0.68-0.00
8.6000e+0621-0.62-0.00
8.8000e+0621-0.56-0.00
9.0000e+0622-0.50-0.00
9.2000e+0622-0.44-0.00
9.4000e+0622-0.37-0.00
9.6000e+0622-0.31-0.00
9.8000e+0622-0.24-0.00
1.0000e+0722-0.18-0.00
1.0500e+0732-1.01-0.01
1.1000e+0732-0.83-0.00
1.1500e+0732-0.65-0.00
1.2000e+0743-1.47-0.01
1.2500e+0743-1.27-0.01
1.3000e+0743-1.07-0.00
1.3500e+0743-0.87-0.00
1.4000e+0743-0.66-0.00
1.4500e+0764-2.45-0.01
1.5000e+0764-2.23-0.01
1.5500e+0764-2.01-0.01
1.6000e+0764-1.78-0.01
1.6500e+0764-1.54-0.01
1.7000e+0765-1.30-0.01
1.7500e+0765-1.06-0.00
1.8000e+0765-0.81-0.00
1.8500e+0765-0.56-0.00
1.9000e+0776-1.30-0.01
1.9500e+0776-1.04-0.00
2.0000e+0776-0.78-0.00
2.1000e+0787-1.23-0.00
2.2000e+0787-0.67-0.00
2.3000e+0798-1.09-0.00
2.4000e+0799-0.50-0.00
2.5000e+07109-0.89-0.00
2.6000e+071010-0.26-0.00
2.7000e+071110-0.62-0.00
2.8000e+071211-0.96-0.00
2.9000e+071212-0.29-0.00
3.0000e+071312-0.61-0.00
3.1000e+071413-0.91-0.00
3.2000e+071514-1.20-0.00
3.3000e+071615-1.48-0.00
3.4000e+071615-0.74-0.00
3.5000e+071816-1.99-0.01
3.6000e+072017-3.22-0.01
3.7000e+072018-2.45-0.01
3.8000e+072118-2.66-0.01
3.9000e+072219-2.86-0.01
4.0000e+072320-3.05-0.01
4.1000e+072321-2.22-0.01
4.2000e+072322-1.39-0.00
4.3000e+072322-0.54-0.00
4.4000e+072623-2.68-0.01
4.5000e+072724-2.82-0.01
4.6000e+072925-3.94-0.01
4.7000e+073226-6.04-0.02
4.8000e+073427-7.14-0.02
4.9000e+073528-7.23-0.02
5.0000e+073629-7.31-0.02
5.2000e+073631-5.43-0.01
5.4000e+073732-4.52-0.01
5.6000e+073934-4.57-0.01
5.8000e+074236-5.57-0.01
6.0000e+074438-5.54-0.01
6.2000e+074641-5.48-0.01
6.4000e+074643-3.38-0.01
6.6000e+074745-2.24-0.00
6.8000e+075147-4.07-0.01
7.0000e+075349-3.86-0.01
7.2000e+075751-5.63-0.01
7.4000e+075854-4.36-0.01
7.6000e+076056-4.05-0.01
7.8000e+076258-3.72-0.01
8.0000e+076461-3.36-0.01
8.2000e+076763-3.96-0.01
8.4000e+077065-4.54-0.01
8.6000e+077068-2.08-0.00
8.8000e+077670-5.60-0.01
9.0000e+077773-4.09-0.01
9.2000e+077775-1.55-0.00
9.4000e+0778780.020.00
9.6000e+078481-3.39-0.01
9.8000e+078983-5.77-0.01
1.0000e+089386-7.12-0.01
1.0500e+089993-6.39-0.01
1.1000e+08105100-5.50-0.01
1.1500e+08117107-10.45-0.02
1.2000e+08123114-9.26-0.02
1.2500e+08130121-8.92-0.01
1.3000e+08134129-5.44-0.01
1.3500e+08140136-3.82-0.01
1.4000e+08147144-3.07-0.00
1.4500e+081511520.810.00
1.5000e+08164160-4.19-0.01
1.5500e+08173168-5.06-0.01
1.6000e+08180176-3.80-0.01
1.6500e+081841850.570.00
1.7000e+081921931.050.00
1.7500e+08204202-2.35-0.00
1.8000e+082102100.370.00
1.8500e+08222219-2.81-0.00
1.9000e+08234228-5.89-0.01
1.9500e+08246237-8.85-0.01
2.0000e+08255246-8.72-0.01
2.1000e+08273265-8.14-0.01
2.2000e+08286284-2.18-0.00
2.3000e+08311303-7.83-0.01
2.4000e+08330323-7.12-0.01
2.5000e+08358343-15.06-0.02
2.6000e+08381363-17.65-0.02
2.7000e+08401384-16.90-0.02
2.8000e+08421405-15.83-0.02
2.9000e+08435427-8.44-0.01
3.0000e+08450448-1.74-0.00
3.1000e+08474470-3.74-0.00
3.2000e+08499493-6.44-0.01
3.3000e+08519515-3.86-0.00
3.4000e+08550538-11.99-0.01
3.5000e+08579561-17.85-0.02
3.6000e+08604585-19.44-0.02
3.7000e+08621608-12.77-0.01
3.8000e+08649632-16.83-0.02
3.9000e+08681656-24.65-0.02
4.0000e+08709681-28.21-0.03
4.1000e+08743705-37.53-0.04
4.2000e+08767730-36.62-0.04
4.3000e+08805756-49.46-0.05
4.4000e+08833781-52.08-0.05
4.5000e+08860807-53.47-0.05
4.6000e+08881832-48.64-0.05
4.7000e+08916858-57.58-0.05
4.8000e+08943885-58.31-0.05
4.9000e+08970911-58.83-0.05
5.0000e+08987938-49.14-0.04
5.2000e+081043992-51.14-0.05
5.4000e+0810961047-49.35-0.04
5.6000e+0811561102-53.77-0.05
5.8000e+0812111159-52.45-0.04
6.0000e+0812801216-64.38-0.05
6.2000e+0813371273-63.60-0.05
6.4000e+0813991332-67.12-0.05
6.6000e+0814591391-67.96-0.05
6.8000e+0815211451-70.13-0.05
7.0000e+0815811511-69.66-0.05
7.2000e+0816431572-70.54-0.05
7.4000e+0817011634-66.81-0.05
7.6000e+0817701697-73.46-0.05
7.8000e+0818311759-71.52-0.05
8.0000e+0818931823-70.00-0.05
8.2000e+0819611887-73.90-0.05
8.4000e+0820201952-68.24-0.05
8.6000e+0820912017-74.03-0.05
8.8000e+0821572083-74.27-0.05
9.0000e+0822262149-76.99-0.05
9.2000e+0822942216-78.18-0.05
9.4000e+0823612283-77.86-0.05
9.6000e+0824422351-91.03-0.06
9.8000e+0825222419-102.71-0.07
1.0000e+0925892488-100.90-0.07
1.0500e+0927552662-92.79-0.06
1.1000e+0929512839-111.78-0.07
1.1500e+0931353019-116.00-0.07
1.2000e+0933143201-112.52-0.07
1.2500e+0934963387-109.44-0.06
1.3000e+0936723574-97.85-0.06
1.3500e+0938543764-89.82-0.05
1.4000e+0940573957-100.43-0.06
1.4500e+0942744151-122.75-0.07
1.5000e+0944614348-112.83-0.06
1.5500e+0946744547-126.74-0.07
1.6000e+0948654748-116.53-0.06
1.6500e+0950924952-140.27-0.07
1.7000e+0952935157-135.99-0.07
1.7500e+0955005364-135.76-0.07
1.8000e+0957255573-151.60-0.08
1.8500e+0959525784-167.58-0.08
1.9000e+0961445997-146.72-0.07
1.9500e+0963686212-156.07-0.08
2.0000e+0965676428-138.67-0.07
2.1000e+0970006866-133.75-0.06
2.2000e+0974257311-114.23-0.05
2.3000e+0978397762-77.35-0.03
2.4000e+0983148219-95.34-0.04
2.5000e+0987358682-53.42-0.02
2.6000e+0991809150-29.78-0.01
2.7000e+0996849624-59.60-0.02
2.8000e+091017510104-71.06-0.03
2.9000e+091067510589-86.31-0.03
3.0000e+091116611078-87.51-0.03
3.1000e+091168611573-112.79-0.04
3.2000e+091218012073-107.29-0.04
3.3000e+091266712577-90.13-0.03
3.4000e+091317613086-90.43-0.03
3.5000e+091369813599-99.31-0.04
3.6000e+091424114116-124.87-0.05
3.7000e+091478714638-149.21-0.05
3.8000e+091532015164-156.42-0.06
3.9000e+091588315693-189.60-0.07
4.0000e+091641116227-183.84-0.06
4.1000e+091694516765-180.22-0.06
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