MathDB

Modified well - known NT problem

Source: Latvian TST for Baltic Way 2020 P13

October 18, 2020

number theory

Problem Statement

It is given that

n

and

\sqrt{12n^2+1}

are both positive integers. Prove that:

\sqrt{ \frac{\sqrt{12n^2+1}+1}{2}}

is also positive integer.

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