In 2010, twelve enigmas were launched: www.multimagie.com/English/MagicSquaresEnigmasE.pdf <http://www.multimagie.com/English/MagicSquaresEnigmasE.pdf> Three of them were solved from 2010 to 2015. I am pleased to announce that a fourth enigma (#6b) is now solved! Here is the first known 7x7 additive-multiplicative magic square, constructed by Sébastien Miquel. The 7 rows, 7 columns and 2 diagonals have the same sum. The 7 rows, 7 columns and 2 diagonals have the same product. 126 66 50 90 48 1 84 20 70 16 54 189 110 6 100 2 22 98 36 72 135 96 60 81 4 10 49 165 3 63 30 176 120 45 28 99 180 14 25 7 108 32 21 24 252 18 55 80 15 More details will be given at www.multimagie.com <http://www.multimagie.com> in the coming weeks. Before this square, 8x8 was the size of smallest known add-mult magic squares. 5x5 and 6x6 are still unknown (enigmas #6 and #6a), but 3x3 and 4x4 are proved impossible. Now, there remain eight unsolved enigmas for winning €6,500 (~$7,300) and eight bottles of champagne! Christian Boyer.