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

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June 22, 2021
number theory

Problem Statement

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
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