Question

Two positive integers $m$ and $n$ are chosen such that $m$ is the smallest positive integer with only two positive divisors and $n$ is the largest integer less than $100$ with exactly three positive divisors. What is $m+n$?

Answer 1

Hello,

we only have 3 divisors if n is a square of a prime (1,a,a²) with a<10
==>n=49
and m=2

m+n=49+2=51