Question 80
Given two distinct natural numbers $a$ and $b$ greater than $1$,
a) Prove that there are infinitely many natural numbers $n$ such that $s_n = a^n + b^{n+1}$ is composite.
b) Prove that there are infinitely many prime numbers $p$ such that $s_n$ is divisible by $p$ for some $n$.
a) Prove that there are infinitely many natural numbers $n$ such that $s_n = a^n + b^{n+1}$ is composite.
b) Prove that there are infinitely many prime numbers $p$ such that $s_n$ is divisible by $p$ for some $n$.