MathDB
3^m divides n^3 + 17 but 3^{m+1}does not divide it.

Source: Indian Postal Coaching 2008 set 2 p3

May 25, 2020
number theorydividesdivisible

Problem Statement

Prove that for each natural number m≥2m \ge 2, there is a natural number nn such that 3m3^m divides n3+17n^3 + 17 but 3m+13^{m+1} does not divide it.
Back to ProblemsView on AoPS