MathDB

3

Part of 2015 Greece JBMO TST

Problems(1)

(n+1)2^n, (n+3)2^{n+2} not perfect squares for the same n

Source: Greece JBMO TST 2015 p3

4/29/2019
Prove that there is not a positive integer nn such that numbers (n+1)2n,(n+3)2n+2(n+1)2^n, (n+3)2^{n+2} are both perfect squares.
number theoryPerfect SquaresPerfect Squarepositive integer