import math


def is_equal_to_with_digits(expected, actual, digits):
    return round(expected, digits) == round(actual, digits)


expected_value = math.pi ** 2 / 6

n = 1
sum = 0

while not is_equal_to_with_digits(expected_value, sum, 6):
    sum += 1 / n ** 2
    n += 1

    if n % 100000 == 0:
        print(n, round(sum, 6), round(expected_value, 6), expected_value - sum)

print("result after", n, "iterations:", round(sum, 6), "; compare value:", round(expected_value, 6), expected_value - sum)