(306) 3

Part of 1991 Tournament Of Towns

Problems(1)

TOT 306 1991 Autumn A J3 numbers in a 4x4 table

Source:

Is it possible to put pairwise distinct positive integers less than

100

in the cells of a

4 \times 4

table so that the products of all the numbers in every column and every row are equal to each other?
(N.B. Vasiliev, Moscow))

algebracombinatorics