Multimagic squares records
See also the multimagic cubes and hypercubes records

 Power Square & Order Inventor Country Date 1 Magic 3 ??? China ~2000 before J-C 2 Bimagic 8 G. Pfeffermann France 1890 3 Trimagic 128 Gaston Tarry France 1905 Trimagic 64 General Eutrope Cazalas France 1933 Trimagic 32 William H. Benson USA 1976 (*) Trimagic 12 Walter Trump Germany 2002 4 Tetramagic 256 Charles Devimeux France 1983 (**) Tetramagic 243 Pan Fengchu China February 2004 5 Pentamagic 1024 Christian Boyer - André Viricel France 2001 Pentamagic 729 Li Wen China June 2003 6 Hexamagic 4096 Pan Fengchu China December 2003 7 and + Highly multimagic(heptamagic and +,order 65536 and +) independently: Pierre Tougne (France), Pan Fengchu (China),  H. Derksen, C. Eggermont, A. van den Essen (USA & Netherlands) and Jaroslaw Wroblewski (Poland) 2004-2006

(*) In his book published in 1976, William Benson points out that he built this 32nd-order trimagic square as far back as 1949.
(**) This square was fully forgotten... but 1983, it's far before the Boyer-Viricel tetramagic 512 (in 2001) and Boyer tetramagic 256 (in 2003) squares which can no longer be considered as the first known tetramagic squares!

At the opposite of what we could first think, it is more difficult to build a highly multimagic square having a small size, rather than a large size. That is why the 12nd-order square of Trump is considered "superior" to the 32th-order square of Benson itself "superior" to the 64th-order square of Cazalas, and so on...

It is proved impossible to construct a bimagic square of order smaller than 8, and proved impossible to construct a trimagic square of order smaller than 12. If you want to appear in the above table of records, you have to work on at least tetramagic squares:

• find a tetramagic square of order smaller than 243,
• find a pentamagic square of order smaller than 729,
• find an hexamagic square of order smaller than 4096,
• find an heptamagic square of order smaller than 65536,
• and so on...

If you succeed, send me a message!

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