Hello, icemanfan!

This is a classic (very old) problem.

Given a 4x4 matrix: .

Find numbers such that each of the is one of the numbers

from 1 to 16 (each number is used exactly once),

the sum of the numbers in each row and column sum to 34,

and the sums of the following sets of numbers also equals 34:

. . . . . . . .

The simplest solution:

. . .

This magic square satisfies the above requirements

. .has a sum of 34 in the followng positions:and

The two diagonals:

. . . . .

The corner 2x2's:

. . . . . . . . .

These two "rectangles":

. . . . .