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June 23rd, 2016, 02:48 AM  #11 
Math Team Joined: Apr 2010 Posts: 2,780 Thanks: 361 
See A014320  OEIS for "The next new gap between successive primes."

June 23rd, 2016, 10:45 AM  #12  
Senior Member Joined: May 2015 From: Arlington, VA Posts: 397 Thanks: 27 Math Focus: Number theory  Quote:
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?  
June 23rd, 2016, 12:48 PM  #13 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,635 Thanks: 2620 Math Focus: Mainly analysis and algebra 
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? 
June 23rd, 2016, 07:58 PM  #14 
Senior Member Joined: May 2015 From: Arlington, VA Posts: 397 Thanks: 27 Math Focus: Number theory 
v8archie, Apparently I was thinking in linear, or even geometric terms, where logarithmic growth of the gap now seems more appropriate, as in ~lnn. 

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