Let n a positive integer, n>1. The number n is wonderful if the number is divisible by sum of the your prime factors.
For example; 90 is wondeful, because 90=2×32×5 and 2+3+5=10,10 divides 90.
Show that, exist a number "wonderful" with at least 102002 distinct prime numbers. number theoryprime factorizationcono sur