Vieta's Formula 1

Let $\alpha$ and $\beta$ be the two roots of the quadratic equation. $\alpha+\beta=63$ Since the sum of two positive integers is an odd number, we can conclude that one of the two roots is even and the other root is odd. Since the roots are prime numbers, one of the root will should be the only even prime number, which is $2$ . Therefore the other root is $61$ .

$\therefore k=\alpha\beta=2\times61=122$