(317) 3

Part of 1991 Tournament Of Towns

Problems(1)

TOT 317 1991 Autumn A S3 numbers in 9x9 table

Source:

Is it possible to put distinct positive integers less than

1991

in the cells of a

9\times 9

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

number theorycombinatorics