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(another Prime Pages' Curiosity)
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In visualizing the patterns generated in the "gaps of gaps" given by the prime numbers (e.g., below 199), a curious pattern emerges. This shows the gaps between the primes, followed by the absolute difference of those gaps, followed by the absolute difference of those gaps, etc., and on until all gaps are displayed in a (triangular) table of values. Done as a programming exercise, I was amazed to find patterns connecting common numbers in the table of gaps. Most interesting of these is the "dripping triangles" which reminds me of Wolfram diagrams. [Gene-Boggs]

 

  Submitted: 2013-11-10 11:39:02;   Last Modified: 2014-08-09 14:22:51.



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