cmi-entrance 2016 QB6

cmi-entrance · India · ugmath 14 marks Number Theory Prime Number Properties and Identification
Find all pairs $(p, n)$ of positive integers where $p$ is a prime number and $p^{3} - p = n^{7} - n^{3}$.
Find all pairs $(p, n)$ of positive integers where $p$ is a prime number and $p^{3} - p = n^{7} - n^{3}$.