Let's say you fill in a 5 by 5 square with the numbers 1, 2, ..., 25. Is there a way to fill it so that the product of the first row is equal to the product of the first column, the product of the second row is equal to the product of the second column, ..., etc?

  • $\begingroup$ Welcome to Puzzling! Is this a puzzle you created yourself? If not, please add a source (such as a link). We have an attribution policy here and unsourced puzzles will be closed. $\endgroup$
    – bobble
    Mar 3 at 0:39
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    $\begingroup$ Hi, yes I did create this puzzle myself, and I am wondering the solution. $\endgroup$
    – jxia1234
    Mar 3 at 0:55
  • $\begingroup$ Can you do it with a 3X3? What is unique about the 5X5? Try first to arrange the primes 13, 17, 19, 23 and then move to - (11, 22), (7, 14, 21)... I think you will not be able to get a solution. $\endgroup$
    – Moti
    Mar 3 at 2:25
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    $\begingroup$ Also asked on Maths SE. $\endgroup$ Mar 3 at 15:31
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    $\begingroup$ This question, which was asked on Math SE, is from an active competition. I don't know what the policy on Puzzling SE is, but on Math SE, such questions are locked until after the end of the competition period. Link: math.meta.stackexchange.com/questions/33257 (see problem 5). $\endgroup$ Mar 8 at 23:53

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