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June 23rd, 2016, 02:48 AM   #11
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See A014320 - OEIS for "The next new gap between successive primes."
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June 23rd, 2016, 10:45 AM   #12
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Quote:
Originally Posted by Hoempa View Post
See A014320 - OEIS for "The next new gap between successive primes."
Do any of you discern a pattern there besides that which is stated outright - "new"? Where is that particular sequence used in math?

The "listen" function sounds to me like a cat on a piano (but may come in handy for the visually impaired). Aside: Is math much less accessible to those with vision loss?
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June 23rd, 2016, 12:48 PM   #13
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So, at ~100, the average gap is 4 and you have found one of 13: 3.25 times larger.
At ~1,000,000, the average gap is 12.7 and the maximum is 118: almost 9.29 times larger.

Which is (more) special?
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June 23rd, 2016, 07:58 PM   #14
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v8archie,

Apparently I was thinking in linear, or even geometric terms, where logarithmic growth of the gap now seems more appropriate, as in ~ln|n|.
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