Sums of Multiples Squares
Problem of the Week - January 01, 2024
According to a result of John Conway, every positive integer can be written in the form (a2)+ 2(b2) + 3(c2) + 4(d2) where a, b, c, d are nonnegative integers. Often there are multiple choices for a, b, c, d and a, b, c, and d are not necessarily different values. Find the choices for a, b, c, d as a 4-digit number abcd where 1(a2)+ 2(b2) + 3(c2) + 4(d2) = 98 and (a)(b)(c)(d) is a maximum.
Problem submitted by Pat Costello, Eastern Kentucky University
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