Perfect powers in sequences of polygonal numbers

Andrzej Dąbrowski, Salah Eddine Rihane, Gökhan Soydan +1

Let $P_s(n)$ denote the $n$-th $s$-gonal number. Consider the Diophantine equation $P_s(n)=t^m$ for integers $n,s,t$ and $m>2$. All solutions to this equation are known f…