A prime-representing quadratic-exponent conjecture following Mills

Let $f(n)=\lfloor A^{(n+1)^2}\rfloor$ for a positive constant $A$.

Prime-representing function conjecture. There is a constant $A$, possibly near $1.1966746500705764022$, such that $f(n)$ is prime for every integer $n\geq 1$.

This conjecture proposes a deterministic prime-representing function with quadratic exponents, analogous to Mills' formula. The stated value of $A$ is experimental, and the conjecture remains open.