A multimagic square such that the first, second, third, fourth, and fifth powers of the elements all yield magic squares is known as a pentamagic square. The first known pentamagic square was constructed by Christian Boyer and André Viricel in 2001 and was of order 1024. A pentamagic square of order 729 was subsequently found by Li Wen in June 2003.

bimagic square | multimagic square | tetramagic square | trimagic square