Primes in an arithmetic progression
The following problem was posed in the March 2025 issue of Crux Mathematicorum. OC 722 : Let $p$ and $q$ be distinct primes. Assume that the four numbers $p^{23}, p^{24}, q^{23}, q^{24}$ occur (not necessarily consecutively) in a decreasing arithmetic progression. Show that the primes $p$ and $q$ themselves also appear in that same progression. Solution by […]