Problems & Puzzles: Puzzles

 Puzzle 755. Upside Down Magic Squares Someone named "fwaff" posted a puzzle in a site that collect lot of puzzles. Can you create a 4x4 magic square that still works with the same total when turned upside down? [A Magic Square is a grid of numbers whose rows, columns and long diagonals add up to the same total. All the numbers in the square must be different.] [By 'turned upside down' I mean that if 106 is the number in the top left corner in the original magic square, then 901 is in the bottom right corner of the inverted square]   He gave the following example: One solution is: 16 98 81 69 61 89 96 18 99 11 68 86 88 66 19 91 Which gives an 'upside down' square of: 16 61 99 88 98 89 11 66 81 96 68 19 69 18 86 91 The total for each row, column and long diagonals for both squares is 264. Q. Find a solution like this but using only prime numbers. The magic square could be 3x3, 4x4 or...

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