Question

make a magic square of order 4 using numbers from 3 to 18 to get 42

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Answer 1

Answer:

For 42? An order 42 magic square? A magic square where the numbers sum to 42? A magic square filled only with 42s?

For a magic square where the numbers sum to 42; assuming you use all the numbers from 1 to  n2 , this is impossible, as the sum of each line will be the sum of the numbers from 1 to  n2 divided by  n , or  n4+n22n , which is equal to  n3+n2 . 42 is not a number of this form; 34 and 65 are. If you scrap the 1 to  n2  rule, it becomes trivial: you can just have an order 1 square that consists of 42, or add 9 to each of the squares in a “true” order 3 square, or add 8 to four specific squares in an order 4; the list goes on.

An order 42 magic square certainly exists, but creating one would be very, very time consuming. A computer should be able to generate one.

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