AVirtualMachineForExploringSpaceTimeAndBeyond : The smooth integers : the prime factor product -the radical function- of the integer numbers (Les entiers friables : le produit des facteurs premiers -la fonction radical- des nombres entiers).

The smooth integers: the prime factor product -the radical function- of the integer numbers [Les entiers friables: le produit des facteurs premiers -la fonction radical- des nombres entiers].

Nota: This product for the number N is the so-called radical of N.

This picture displays the prime factor product of the integer numbers inside [2,1025]. For example, the integer number 12 has two prime factors {2,3} and then this product equals 6.

The so-called smooth integers are the integer numbers with very small prime factors (2, 3, 5,...) and then easy to factorize. They can be seen on this picture where the vertical segments are small and with a high luminance.

See some related pictures (including this one):