A pentamagic square is a multimagic square such that the first, second, third, fourth, and fifth powers of the elements all yield magic squares. The first known pentamagic square was constructed by Christian Boyer and André Viricel in 2001 (Boyer 2001) and was of order 1024. A pentamagic square of order 729 was subsequently found by Li Wen in June 2003.
Pentamagic Square
See also
Bimagic Square, Multimagic Square, Tetramagic Square, Trimagic SquareExplore with Wolfram|Alpha
References
Boyer, C. "Les premiers carrés tétra et pentamagiques." Pour La Science, No. 286, pp. 98-102, Aug. 2001.Boyer, C. "Tetramagic Squares and Pentamagic Squares." http://multimagie.com/English/Tetra-penta.htm.Referenced on Wolfram|Alpha
Pentamagic SquareCite this as:
Weisstein, Eric W. "Pentamagic Square." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PentamagicSquare.html