multipicity

Prim Numbers Visualization - Prim Number Pattern.

A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. Primes are special numbers…. then what makes primality so special?  Don Zagier, an eminent specialist, said: Upon looking at these numbers, one has the feeling of being in the presence of one of the inexplicable secrets of creation.


Multipers of 2 - Multipers of 3 - Multipers of 5 - Multipers of 7 - Multipers of 11 - …

Twin primes (p,p+2)

The images you see here are created using circles with consecutive prime number diameters stacked on top of each other and repeated from a common origin. For each natural number n, we draw a periodic curve starting from the origin, intersecting the x-axis at n and its multiples. The prime numbers are those that have been intersected by only two curves: the prime number itself and one.  The currently highlighted number show sum of divisors σ(n), and its aliquot sum s(n) = σ(n) - n, which indicate whether the number is prime, deficient, perfect or abundant.  Prim Number Pattern is a simple method of sketching the prime numbers by geometry.

The interactive version http://www.jasondavies.com/primos/

See more at: Prime number sieves  by Arjen Dijksman.

Image: http://www.polprimos.com/