Everybody knows the Sieve of Eratosthenes, but does anyone know the Sieve of Pi-thagoras? In the following pseudocode, assume that “real” represents a real number with infinite precision.

Bunty is a kid living in the year $3019$. He has access to computation power so immense that he can run this code for as large an integer as possible. You challenge Bunty to find a finite integer input n so that it returns at least $r$. Deep down, based on your math skills, you know that this isn’t possible for any $r \ge r_0$. You are required to find $[10^{18} \times r_0]$ modulo $10^9 + 7$, where $[x]$ denotes the integral part of $x$.

"^" in the code implies the power operator.