In mathematics, a P-multimagic square is a magic square that remains magic even if all its numbers are replaced by their kth power for 1 ≤ k ≤ P. Thus, a magic square is bimagic iff it is 2-multimagic, and trimagic iff it is 3-multimagic.
The first 4-magic square, of order 512, was constructed in May 2001 by André Viricel and Christian Boyer; about one month later, in June 2001, Viricel and Boyer presented the first 5-magic square, of order 1024. They also presented a 4-magic square of order 256 in January 2003, and another 5-magic square, of order 729, was constructed in June 2003 by Chinese mathematician Li Wen.
