MathDB
NT PRIMES FACTORS

Source: Cono Sur 2002

August 14, 2017
number theoryprime factorizationcono sur

Problem Statement

Let nn a positive integer, n>1n > 1. The number nn is wonderful if the number is divisible by sum of the your prime factors. For example; 9090 is wondeful, because 90=2×32×590 = 2 \times 3^2\times 5 and 2+3+5=10,102 + 3 + 5 = 10, 10 divides 9090. Show that, exist a number "wonderful" with at least 10200210^{2002} distinct prime numbers.
Back to ProblemsView on AoPS