About Prime Numbers

This (study) is shown analytically using
 the structure factor, proportional
to the scattering intensity from
 a many-particle system but you
 can see it something same in the nature.

Motivated by the hyperuniformity concept, which has attracted recent attention in physics and materials science, this may indicatethat the prime numbers in certain large intervals possess unanticipated order across length scales and represent the first example of a new class of many-particle systems with pure point diffraction patterns, which we call effectively limit-periodic. In particular, the primes in this regime are hyperuniform. 
Yes, the prime numbers have been a source of fascination for millennia and continue to surprise us. Read more.

One of the most interesting things about prime numbers is their distribution among the natural numbers. On a small scale, the appearance of prime numbers seems random, but on a large scale there appears to be a pattern, which is still not absolutely fully understood. Like a snake on his path winding along with a trail of rippling and intersecting circles that speaks the precise language of Prime Numbers.