The night sky we see as a random
scattering of stars is an aspect of the order of galaxies. Primes, scattered through the whole
numbers, are patterns superimposed on patterns, obscured by multiplicity like the faint path of
the Milky Way. 

An
infinite array Questions: Is this pattern related to primegenerating polynomials? Are Mersenne primes specially represented here? Why are some primes more radiant than others, for example 193? Why do the empty areas produce wave like patterns or whorls? Can this
pattern be used to generate large primes? Are primes numbers and fractals related? Another similarity lies in creation by iteration. In the sieve of Eratosthenes, each successive iteration removes a group of multiples. While these iterations are not strictly identical, since each group of multiples is spaced further apart along the number line, each group of multiples is an orderly pattern. And yet, as a new pattern is overlaid at each orderly iteration, the result appears more complex, even chaotic. The Primes and Beyond 



Clarke and the Primes Arthur C. Clarke wrote about the glamor of primes in his novel, The City and the Stars. His description anticipates the prime spiral discovered by Ulam. See the Mathworld link above for a description and the complete quote. 