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4^n+2^n+1 is a prime => n is a power of 3 (ILL 1979 P26)

Source:

June 1, 2011
prime numbersfactorizationnumber theory

Problem Statement

Let nn be a positive integer. If 4n+2n+14^n + 2^n + 1 is a prime, prove that nn is a power of three.
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