List of the site's news added August 16th, 2013

• Death on July 6th 2013 of Harvey Heinz (biography), Canada, the author of www.magic-squares.net.
He checked the English of my website for more than ten years, it was a pleasure and an honor to work with him.
Harvey in 2003
• New best known multiplicative magic squares or cubes
• NEW RECORDS! New smallest known orders of semi-magic or of magic squares of powers!
• Two 64x64 magic squares of 6th powers, first one from Jaroslaw Wroblewski, second one later from Toshihiro Shirakawa, which are smaller than Labelle's 90x90 (the previous record)
• 64x64 semi-magic square of 7th powers by Toshihiro Shirakawa, smaller than his 81x81, and than the 196x196 by Jaroslaw Wroblewski (the previous records)
• With these new results, here is the updated table of smallest known squares of powers:
•  Lucas Smallest known squares semi-magic magic Euler of squares 3x3, Edouard Lucas (1876) 4x4 Leonhard Euler (1770) of cubes 4x4, Lee Morgenstern (2006) 8x8, Walter Trump (2008) of 4th powers 4x4, Morgenstern-Boyer (2006) 15x15, Labelle-Boyer (2011) of 5th powers 16x16, J. Wroblewski (2011) 36x36, Li Wen (2008) of 6th powers 36x36, J. Wroblewski (2011) 64x64, J. Wroblewski (2012) NEW! of 7th powers 64x64, T. Shirakawa (2013) NEW! 65536 x 65536
• But smallest possible squares not yet known! Who will find smaller squares?
Only 3x3 semi-magic squares of squares are proved impossible to improve (2x2 being of course impossible...).
The goal of several enigmas (#1, #3, #4, #4a, #4b, #4c) is to improve this table.
• Bigger than 15x15 by Labelle-Boyer, but an interesting new 16x16 magic square of 4th powers, and its new construction method, by Toshihiro Shirakawa
• New published papers
• in the Journal of Combinatorial Designs, multimagic theorem by Yong Zhang, Kejun Chen and Jianguo Lei (improving results of Harm Derksen, Christian Eggermont and Arno van den Essen)
•  n-multimagic squares of order pn exist for any prime p ≥ 2n - 1 with n ≥ 2
• in Discrete Mathematics, construction method of bimagic squares, by Kejun Chen and Wen Li
• in Mathematics Today, pandiagonal sudokus by Ronald P. Nordgren