List of the site's news added March 16, 2015

• With this enigma solved, there remain nine unsolved enigmas for winning €6,700 and nine bottles of champagne!
  Here are the most interesting recent results on the remaining enigmas:
• #1 (3x3 magic square of squares, or using at least 7 distinct squared integers), astonishing remarks from Mark Underwood and Tim S. Roberts, and new searches from Lee Morgenstern.
  Also modulo researches from Paul Zimmermann, Paul Pierrat, François Thiriet.
• #2 (5x5 bimagic square), no solution using integers < 1500, by Lee Morgenstern
• #4 (4x4 magic square of cubes), remark on the third smallest 4x4 semi-magic square of cubes, maybe a hidden structure?

• New results on multiplicative magic squares
• New best known 6x6 pandiagonal multiplicative magic square, but also 15x15 and 16x16, by Oscar Lanzi, so giving updated table and Excel file of best known pandiagonal multiplicative magic squares
• Pfeffermann's problem of 1893, on 4x4 multiplicative magic squares, had 6 solutions, not just 3, an error pointed out by Philippe Deléham
• Edwards's 4x4 construction method discovered by Claude Bégin, and new 4x4 examples with same properties
• Extending Edwards-Bégin's 4x4 method, first 5x5 pandiagonal multiplicative magic squares remaining 5x5 pandiagonal multiplicative magic squares when their numbers are reversed by Christian Boyer

12	26	63	242	276		21	62	36	242	672
231	264	23	24	39		132	462	32	42	93
46	36	143	252	22		64	63	341	252	22
156	21	44	69	132		651	12	44	96	231
66	253	144	13	42		66	352	441	31	24

• Impressive new magic squares of primes
• 4x4 pandiagonal magic square of (big!) consecutive primes, by  Jaroslaw Wroblewski, then by Max Alekseyev, thanks to Natalia Makarova for the info
• Several 8x8 bimagic squares of (big!) primes by Jaroslaw Wroblewski (and which are also pandiagonal magic squares)

• New results and studies on bimagic squares
• There are 26 158 848 bimagic squares of order 8, number computed by Walter Trump and Francis Gaspalou
• Rilly's construction method of 8x8 bimagic squares in 1901, and derived methods, by Francis Gaspalou
• Three wrong columns in Gao Zhiyuan / Su Maoting's bimagic square of order 57 pointed out by Bogdan Golunski. Errors now corrected by Gao Zhiyuan and Zhong Ming.

• New results on multimagic series for squares
• Numbers of trimagic series of orders 16 and 17 computed by Lee Morgenstern
• General formula for estimating the number of multimagic series by Michael Quist
                
                Quist's formula, number of K-multimagic series for squares of order N
• Example of pentamagic series of order 40 by Lee Morgenstern

•  Papers, books, websites, talks
• A call to search for a 3x3 magic square of squares by , thanks to Ricky Rusting
• http://www.magic-squares.info/english.html : new website on magic squares added in the links, Holger Danielsson is back!
• "Multimagic" Latin Squares, or Knut Vik Designs are "Multimagic", by Peter D. Loly, Ian Cameron, Adam Rogers. Talk given in June 2014 by Peter Loly, University of Manitoba, at the 2014 CMS Summer Meeting (CMS = Canadian Mathematical Society), in Winnipeg, Canada.
• In Combinatorics: Ancient & Modern, interesting chapter "Latin squares" by Lars Dovling Andersen, Aalborg University. Book edited by Robin Wilson & John J. Watkins, Oxford University Press, 2013.

• And also...
• 4x4 magic squares of octogonal, nonagonal and decagonal numbers by Lee Morgenstern, and updated table of squares of polygonal numbers
• Georges Pfeffermann died in Issoire in 1914, thanks to Hélène Lachaise, Catherine Rabbe, Patrick-Charles Ducros for their help on this updated version of Pfeffermann's biography, adding the info on his death (in French, but with a summary in English)
• Photo of a placard on Frost's cube of 11 by John Williamson, added in Frost's biography

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