MathDB

Problem 1

Part of 1970 Bulgaria National Olympiad

Problems(1)

prime divisors of a^6-1 divide either a^2-1 or a^3-1 (Bulgaria 1970 P1)

Source:

6/22/2021
Find all natural numbers a>1a>1, with the property that every prime divisor of a6−1a^6-1 divides also at least one of the numbers a3−1a^3-1, a2−1a^2-1.
K. Dochev
number theory