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 (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 Square## Explore 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://www.multimagie.com/English/Tetra-penta.htm.

## Referenced on Wolfram|Alpha

Pentamagic Square## Cite this as:

Weisstein, Eric W. "Pentamagic Square."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/PentamagicSquare.html