A recent paper by Han-Linn Li, Shu-Cherng Fang, and Way Kuo of the Department of Computer Science, City University of Hong Kong, suggests that there are cyclic effects among the composites, spawning primes distributed periodically. A link to their paper is given here: The Periodic Table of Primes.
I'm still reading it now, so I will post more later. Meanwhile, I wanted to share it immediately.
Update: The idea proposed by the paper is that the authors identify 48 integers as "roots." These integers are between 11 and 211, and are either prime or not divisible by 2, 3, 5 or 7. The periodic cycle claimed is 210 which is the product of 2, 3, 5 and 7.
I recently came across a criticism of the paper which I'm linking here: A New Study About Prime Numbers Is Stirring Up a Mess of Controversy.
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