def tau(n): assert(isinstance(n, int) and 0 < n) ans, i, j = 0, 1, 1 while i*i <= n: if 0 == n%i: ans += 1 j = n//i if j != i: ans += 1 i += 1 return ans def is_tau_number(n): assert(isinstance(n, int)) if n <= 0: return False return 0 == n%tau(n) if __name__ == "__main__": n = 1 ans = [] while len(ans) < 100: if is_tau_number(n): ans.append(n) n += 1 print(ans)