Let $n$ be the product of the two unknown primes $a$ and $b$ ($a < b$):
$ab = n$
My idea was to use a pairing function so:
$a = f(p)$ and $b = g(p)$
Then the equation is:
$f(p) \cdot g(p) = n$
My idea was that now there is only one unknown variable $p$, the equation is easier to solve. I used Matthew Szudzik's pairing function and got this:
$(p - \lfloor\sqrt{p}\rfloor^2)\cdot\lfloor\sqrt{p}\rfloor = n$
When $p$ was found it would be easy to calculate $a$ and $b$.
But I don't know how to solve this equation.
Do you think it's a good idea or is there no benefit at all?