product of primes = 40 x (sum of same primes)
Source: XII May Olympiad (Olimpiada de Mayo) 2006 L2 P2
September 19, 2022
number theory
Problem Statement
Several prime numbers (some repeated) are written on the board. Mauro added the numbers on the board and Fernando multiplied the numbers on the board. The result obtained by Fernando is equal to times the result obtained by Mauro. Determine what the numbers on the board can be. Give all chances.