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Old 2018-05-14, 13:02   #3
Bobby Jacobs
 
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May 2018

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I would really like a measure of record prime gaps where a big value for a record gap between small numbers is a big value for a record gap between large numbers. The size of the gap will not work. For example, the prime gap between 1327 and 1361 has size 34, which is very big for numbers that size. However, a gap of 34 between larger numbers is not very great. The merit of a gap has the same problem. The gap from 1327 to 1361 has merit 4.7, but a merit of 4.7 is not impressive for larger numbers. Even the CSG ratio is not perfect. The CSG ratio of the gap from 1327 to 1361 is 0.65. However, the CSG ratios of the bigger record prime gaps are all at least 0.8. Do you know a prime gap measure where a good value of a record prime gap between small numbers is a good value of a record prime gap between large numbers?

Last fiddled with by Bobby Jacobs on 2018-05-14 at 13:06
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