A Solution of Dudeney’s Round Table Problem for $p^e{q}^f+1$

Abstract

A solution of Dudeney’s round table problem is given when $n$ is as follows:

1. $n=pq+1$, where $p$ and $q$ are odd primes.
2. $n=p^e+1$, where $p$ is an odd prime.
3. $n=p^e{q}^f+1$, where $p$ and $q$ are distinct odd primes satisfying $p\ge 5$ and $q\ge 11$, and $e$ and $f$ are natural numbers.