MathDB

26

Part of 1979 IMO Longlists

Problems(1)

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

Source:

6/1/2011
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.
prime numbersfactorizationnumber theory