July 2023
Problem of the Month

Ordered Triples Problem
Submitted by Brijesh Dave



How many ordered triples of integers
(a, b, c), with a ≥ 2, b ≥ 1, and c ≥ 0,
satisfy both logab = c2005 and
a + b + c = 2005?




Send your solution by the end of the month to: mathpage@gmail.com