(069) T3

Part of 1984 Tournament Of Towns

Problems(1)

TOT 069 1984 Autumn Train J3 solve 2^n + 7 = x^2 in Z and in R

Source:

Find all solutions of

2^n + 7 = x^2

in which n and x are both integers . Prove that there are no other solutions.

algebranumber theoryDiophantine equationdiophantineequation