Enigma 1158: Anti-Magic
18 July 2016
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From New Scientist #2314, 27th October 2001 [link]
George quickly solved the popular magic square puzzle which asks you to arrange the numbers 1 to 16 in a 4 × 4 grid so that the four rows. the four columns and the two diagonals all have the same sum — so he tried to be different. He has now found an “Anti-Magic Square”, using the numbers 1 to 16, but the ten totals are all different. They are in fact ten consecutive numbers, but in no particular sequence in relation to the square grid.
One of the diagonals in George’s square contains four consecutive numbers and the other contains four prime numbers, each in ascending numerical order from top to bottom.
One row contains four numbers in ascending numerical order from left to right.
What are those four numbers?
Enigma 8 was also about anti-magic squares.