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just q>p

Source: Laurentiu Panaitopol,Romania TST 1990

August 10, 2005
number theoryprime numbersnumber theory proposed

Problem Statement

Let p,qp,q be positive prime numbers and suppose q>5q>5. Prove that if q∣2p+3pq \mid 2^{p}+3^{p}, then q>pq>p. Laurentiu Panaitopol
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