from primes import is_prime

diags = [1]
nums = [1]
spiral = 1
primes = []

if __name__ == '__main__':
    while True:
        spiral += 2
        circ = list(range(diags[-1] + 1, spiral**2+1))
        stride = int(len(circ) / 4)
        corners = [circ[stride*1-1],
                   circ[stride*2-1],
                   circ[stride*3-1],
                   circ[stride*4-1]
                   ]
        diags.extend(corners)
        primes.extend([num for num in corners if is_prime(num)])
        if len(primes) / len(diags) < 0.1:
            break
    print(len(primes), len(diags), spiral)