Gap size : 100 (r=50)

Generated by program gapCounts : Mon Jun 27 12:44:54 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+03000.000.00
1.6000e+03000.000.00
1.7000e+03000.000.00
1.8000e+03000.000.00
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+03000.000.00
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+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+030-0-0.00-0.00
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+04000.000.00
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+05000.010.00
1.1500e+05000.010.00
1.2000e+05000.010.00
1.2500e+05000.010.00
1.3000e+05000.010.00
1.3500e+05000.010.00
1.4000e+05000.010.00
1.4500e+05000.010.00
1.5000e+05000.010.00
1.5500e+05000.010.00
1.6000e+05000.010.00
1.6500e+05000.010.00
1.7000e+05000.020.00
1.7500e+05000.020.00
1.8000e+05000.020.00
1.8500e+05000.020.00
1.9000e+05000.020.00
1.9500e+05000.020.00
2.0000e+05000.020.00
2.1000e+05000.030.00
2.2000e+05000.030.00
2.3000e+05000.030.00
2.4000e+05000.030.00
2.5000e+05000.040.00
2.6000e+05000.040.00
2.7000e+05000.050.00
2.8000e+05000.050.00
2.9000e+05000.050.00
3.0000e+05000.060.00
3.1000e+05000.060.00
3.2000e+05000.070.00
3.3000e+05000.070.00
3.4000e+05000.080.00
3.5000e+05000.080.00
3.6000e+05000.090.00
3.7000e+05000.090.00
3.8000e+05000.100.00
3.9000e+05000.100.00
4.0000e+0510-0.89-0.02
4.1000e+0510-0.89-0.02
4.2000e+0510-0.88-0.02
4.3000e+0510-0.88-0.02
4.4000e+0510-0.87-0.02
4.5000e+0510-0.86-0.02
4.6000e+0510-0.86-0.02
4.7000e+0510-0.85-0.02
4.8000e+0510-0.84-0.02
4.9000e+0510-0.84-0.02
5.0000e+0510-0.83-0.02
5.2000e+0510-0.82-0.01
5.4000e+0510-0.80-0.01
5.6000e+0510-0.79-0.01
5.8000e+0510-0.77-0.01
6.0000e+0510-0.75-0.01
6.2000e+0510-0.74-0.01
6.4000e+0510-0.72-0.01
6.6000e+0510-0.70-0.01
6.8000e+0510-0.68-0.01
7.0000e+0510-0.67-0.01
7.2000e+0510-0.65-0.01
7.4000e+0510-0.63-0.01
7.6000e+0510-0.61-0.01
7.8000e+0510-0.59-0.01
8.0000e+0510-0.57-0.01
8.2000e+0510-0.55-0.01
8.4000e+0520-1.52-0.02
8.6000e+0521-1.50-0.02
8.8000e+0521-1.48-0.02
9.0000e+0521-1.46-0.02
9.2000e+0521-1.43-0.02
9.4000e+0521-1.41-0.02
9.6000e+0521-1.39-0.02
9.8000e+0521-1.36-0.02
1.0000e+0621-1.34-0.02
1.0500e+0621-1.27-0.02
1.1000e+0621-1.21-0.02
1.1500e+0621-1.14-0.01
1.2000e+0621-1.07-0.01
1.2500e+0621-1.00-0.01
1.3000e+0621-0.92-0.01
1.3500e+0631-1.85-0.02
1.4000e+0631-1.77-0.02
1.4500e+0631-1.69-0.02
1.5000e+0631-1.61-0.02
1.5500e+0631-1.52-0.02
1.6000e+0632-1.43-0.02
1.6500e+0642-2.35-0.03
1.7000e+0652-3.26-0.04
1.7500e+0652-3.16-0.03
1.8000e+0652-3.07-0.03
1.8500e+0652-2.98-0.03
1.9000e+0652-2.88-0.03
1.9500e+0652-2.78-0.03
2.0000e+0652-2.68-0.03
2.1000e+0653-2.47-0.02
2.2000e+0653-2.26-0.02
2.3000e+0653-2.04-0.02
2.4000e+0663-2.82-0.03
2.5000e+0663-2.59-0.02
2.6000e+0664-2.35-0.02
2.7000e+0664-2.11-0.02
2.8000e+0674-2.86-0.03
2.9000e+0674-2.61-0.02
3.0000e+0675-2.35-0.02
3.1000e+0675-2.09-0.02
3.2000e+0675-1.82-0.02
3.3000e+0685-2.55-0.02
3.4000e+0686-2.27-0.02
3.5000e+0686-1.99-0.02
3.6000e+0696-2.70-0.02
3.7000e+0697-2.41-0.02
3.8000e+0697-2.11-0.02
3.9000e+0697-1.81-0.01
4.0000e+0697-1.51-0.01
4.1000e+06108-2.20-0.02
4.2000e+06108-1.88-0.01
4.3000e+06108-1.57-0.01
4.4000e+06119-2.25-0.02
4.5000e+06119-1.92-0.01
4.6000e+06129-2.59-0.02
4.7000e+061310-3.26-0.02
4.8000e+061410-3.92-0.03
4.9000e+061410-3.58-0.02
5.0000e+061411-3.23-0.02
5.2000e+061411-2.53-0.02
5.4000e+061612-3.82-0.03
5.6000e+061713-4.09-0.03
5.8000e+061814-4.34-0.03
6.0000e+061814-3.59-0.02
6.2000e+061915-3.82-0.02
6.4000e+062016-4.04-0.02
6.6000e+062117-4.24-0.03
6.8000e+062118-3.43-0.02
7.0000e+062218-3.61-0.02
7.2000e+062219-2.78-0.02
7.4000e+062320-2.94-0.02
7.6000e+062421-3.09-0.02
7.8000e+062522-3.23-0.02
8.0000e+062523-2.35-0.01
8.2000e+062524-1.46-0.01
8.4000e+062724-2.57-0.01
8.6000e+062825-2.66-0.01
8.8000e+062826-1.75-0.01
9.0000e+063027-2.82-0.02
9.2000e+063128-2.88-0.02
9.4000e+063229-2.94-0.02
9.6000e+063430-3.98-0.02
9.8000e+063431-3.02-0.02
1.0000e+073632-4.04-0.02
1.0500e+073934-4.57-0.02
1.1000e+074437-7.04-0.03
1.1500e+074540-5.46-0.03
1.2000e+074842-5.83-0.03
1.2500e+075145-6.15-0.03
1.3000e+075548-7.42-0.03
1.3500e+075950-8.65-0.04
1.4000e+076453-10.83-0.05
1.4500e+077056-13.96-0.06
1.5000e+077259-13.05-0.06
1.5500e+077362-11.11-0.05
1.6000e+077665-11.12-0.05
1.6500e+077868-10.09-0.04
1.7000e+077971-8.02-0.03
1.7500e+078074-5.91-0.02
1.8000e+078277-4.77-0.02
1.8500e+078780-6.59-0.03
1.9000e+079184-7.38-0.03
1.9500e+079587-8.13-0.03
2.0000e+079790-6.84-0.03
2.1000e+0710597-8.18-0.03
2.2000e+07116104-12.38-0.04
2.3000e+07123111-12.46-0.04
2.4000e+07131118-13.43-0.05
2.5000e+07144125-19.27-0.07
2.6000e+07151132-19.01-0.06
2.7000e+07161139-21.63-0.07
2.8000e+07171147-24.15-0.08
2.9000e+07177154-22.57-0.07
3.0000e+07183162-20.89-0.07
3.1000e+07191170-21.11-0.07
3.2000e+07197178-19.24-0.06
3.3000e+07205186-19.28-0.06
3.4000e+07214194-20.22-0.06
3.5000e+07224202-22.08-0.06
3.6000e+07235210-24.86-0.07
3.7000e+07247218-28.55-0.08
3.8000e+07255227-28.16-0.08
3.9000e+07264235-28.68-0.08
4.0000e+07273244-29.13-0.08
4.1000e+07277252-24.51-0.07
4.2000e+07286261-24.81-0.07
4.3000e+07295270-25.03-0.07
4.4000e+07306279-27.19-0.07
4.5000e+07314288-26.27-0.07
4.6000e+07324297-27.28-0.07
4.7000e+07340306-34.23-0.09
4.8000e+07348315-33.11-0.08
4.9000e+07353324-28.92-0.07
5.0000e+07360333-26.67-0.07
5.2000e+07375352-22.97-0.06
5.4000e+07392371-21.03-0.05
5.6000e+07409390-18.85-0.04
5.8000e+07424410-14.44-0.03
6.0000e+07431429-1.81-0.00
6.2000e+07455449-5.95-0.01
6.4000e+07491469-21.89-0.05
6.6000e+07509489-19.61-0.04
6.8000e+07535510-25.14-0.05
7.0000e+07552531-21.47-0.05
7.2000e+07571551-19.60-0.04
7.4000e+07585572-12.55-0.03
7.6000e+07599594-5.32-0.01
7.8000e+07625615-9.91-0.02
8.0000e+07648637-11.32-0.02
8.2000e+07670658-11.56-0.02
8.4000e+07689680-8.64-0.02
8.6000e+07725702-22.55-0.04
8.8000e+07743725-18.30-0.04
9.0000e+07763747-15.89-0.03
9.2000e+07781770-11.33-0.02
9.4000e+07805792-12.61-0.02
9.6000e+07832815-16.75-0.03
9.8000e+07859838-20.74-0.04
1.0000e+08878861-16.58-0.03
1.0500e+08930920-10.09-0.02
1.1000e+08996979-16.74-0.03
1.1500e+0810621039-22.59-0.04
1.2000e+0811271100-26.65-0.05
1.2500e+0811971162-34.96-0.06
1.3000e+0812551224-30.54-0.05
1.3500e+0813261288-38.42-0.06
1.4000e+0813921351-40.62-0.06
1.4500e+0814631416-47.16-0.07
1.5000e+0815161481-35.06-0.05
1.5500e+0815791547-32.34-0.05
1.6000e+0816411613-28.02-0.04
1.6500e+0817031680-23.12-0.03
1.7000e+0817761747-28.64-0.04
1.7500e+0818641815-48.61-0.07
1.8000e+0819281884-44.04-0.06
1.8500e+0820161953-62.95-0.09
1.9000e+0820812023-58.33-0.08
1.9500e+0821522093-59.22-0.08
2.0000e+0822312163-67.61-0.09
2.1000e+0823572306-50.97-0.07
2.2000e+0825022451-51.49-0.07
2.3000e+0826512597-54.25-0.07
2.4000e+0828052745-60.31-0.08
2.5000e+0829512894-56.74-0.07
2.6000e+0830853045-39.59-0.05
2.7000e+0832503198-51.93-0.06
2.8000e+0834013352-48.80-0.06
2.9000e+0835543508-46.25-0.05
3.0000e+0837253665-60.32-0.07
3.1000e+0838993823-76.06-0.08
3.2000e+0840563982-73.51-0.08
3.3000e+0842414143-97.69-0.11
3.4000e+0843924305-86.65-0.09
3.5000e+0845564469-87.42-0.09
3.6000e+0847354633-102.04-0.11
3.7000e+0849074798-108.52-0.11
3.8000e+0850734965-107.89-0.11
3.9000e+0852565133-123.20-0.12
4.0000e+0854205302-118.45-0.12
4.1000e+0855795471-107.67-0.11
4.2000e+0857565642-113.89-0.11
4.3000e+0859185814-104.13-0.10
4.4000e+0860775987-90.40-0.09
4.5000e+0862526160-91.74-0.09
4.6000e+0864456335-110.15-0.10
4.7000e+0866276510-116.66-0.11
4.8000e+0867796687-92.29-0.08
4.9000e+0869686864-104.04-0.09
5.0000e+0871537042-110.95-0.10
5.2000e+0875187401-117.26-0.10
5.4000e+0878517763-88.34-0.08
5.6000e+0882228128-94.31-0.08
5.8000e+0885898496-93.26-0.08
6.0000e+0889428867-75.29-0.06
6.2000e+0893009241-59.49-0.05
6.4000e+0897109617-92.95-0.07
6.6000e+08100849996-87.74-0.07
6.8000e+081047610378-97.95-0.08
7.0000e+081086510762-102.64-0.08
7.2000e+081121311149-63.87-0.05
7.4000e+081161311538-74.72-0.06
7.6000e+081198011930-50.24-0.04
7.8000e+081240612324-82.49-0.06
8.0000e+081279212719-72.53-0.05
8.2000e+081322513118-107.40-0.08
8.4000e+081366913518-151.15-0.11
8.6000e+081406613920-145.84-0.10
8.8000e+081444814324-123.51-0.09
9.0000e+081482414731-93.19-0.06
9.2000e+081520115139-61.94-0.04
9.4000e+081563815549-88.79-0.06
9.6000e+081605115961-89.78-0.06
9.8000e+081649116375-115.94-0.08
1.0000e+091690016791-109.31-0.07
1.0500e+091800317837-165.64-0.11
1.1000e+091903518895-140.47-0.09
1.1500e+092016019962-198.28-0.12
1.2000e+092124721039-208.46-0.13
1.2500e+092233422125-209.39-0.12
1.3000e+092341023220-190.44-0.11
1.3500e+092452824323-204.91-0.12
1.4000e+092566725435-232.11-0.13
1.4500e+092676926555-214.33-0.12
1.5000e+092788127682-198.82-0.11
1.5500e+092899928817-181.82-0.10
1.6000e+093012929959-169.58-0.09
1.6500e+093130531109-196.29-0.10
1.7000e+093239932265-134.18-0.07
1.7500e+093359433428-166.42-0.08
1.8000e+093475334597-156.20-0.08
1.8500e+093599035772-217.69-0.11
1.9000e+093714936954-195.05-0.10
1.9500e+093836638142-224.44-0.11
2.0000e+093950439335-169.00-0.08
2.1000e+094196441739-225.19-0.11
2.2000e+094436044164-195.66-0.09
2.3000e+094676946611-158.37-0.07
2.4000e+094924649077-169.16-0.07
2.5000e+095169651562-133.86-0.06
2.6000e+095431454066-248.18-0.11
2.7000e+095691056587-322.80-0.13
2.8000e+095950659126-380.37-0.16
2.9000e+096201061681-329.46-0.13
3.0000e+096462664251-374.63-0.15
3.1000e+096707566838-237.39-0.09
3.2000e+096955969439-120.21-0.05
3.3000e+097206972054-14.56-0.01
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