#!/usr/bin/env python3 from math import gcd def is_square(n): return int(n**0.5)**2 == n def sol(p, q, n): return n*q * (p**3 * n + q) N = 10**12 a = 1 r = 0 for p in range(2, int(N**(1.0/3))): for q in range(1, p): if p**3 * q + q**2 >= N: break if gcd(p, q) > 1: continue n = 1 s = sol(p, q, n) while s < N: if is_square(s): r += s n += 1 s = sol(p, q, n) print(r)