Problem #PRU-100613

Problems Algebra and arithmetic Number theory. Divisibility The greatest common divisor (GCD) and the least common multiplier (LCM). Mutually prime numbers

Problem

I have written \(5\) non-prime numbers on a piece of paper and hidden it in a safe locker. Every pair of these numbers is relatively prime. Show that at least one of these numbers has to be larger than a \(100\).