4

Part of 1996 Mexico National Olympiad

Problems(1)

no 1 to 16 written in a squared 4x4 paper with divisible sums by n

Source: Mexican Mathematical Olympiad 1996 OMM P4

For which integers

n\ge 2

can the numbers

1

16

be written each in one square of a squared

4\times 4

paper such that the

8

sums of the numbers in rows and columns are all different and divisible by

n

combinatoricsnumber theorySum