MathDB
composite: 2^(2^k-1)-2^k-1

Source: VJIMC 2009 1.2

June 12, 2021
number theoryprimes

Problem Statement

Prove that the number 22k−1−2k−12^{2^k-1}-2^k-1is composite (not prime) for all positive integers k>2k>2.
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