MathDB

5

Part of 2011 Vietnam Team Selection Test

Problems(1)

2^{n+2}(2^n-1)-8.3^n+1 is a perfect square

Source: Vietnamese TST 2011 P5

4/27/2011
Find all positive integers nn such that A=2n+2(2n−1)−8⋅3n+1A=2^{n+2}(2^n-1)-8\cdot 3^n +1 is a perfect square.
inductionmodular arithmeticnumber theoryPerfect Squares