Tico numbers
Source: Centroamerican Olympiad 2014, problem 1
June 10, 2014
number theoryprime numbersnumber theory proposed
Problem Statement
A positive integer is called tico if it is the product of three different prime numbers that add up to 74. Verify that 2014 is tico. Which year will be the next tico year? Which one will be the last tico year in history?