Euler #173

possibilities = 0
for diameter in range(1, int((10 ** 6 + 4) / 4 + 2) + 1):
    tiles = 0
    while True:
        tiles += (diameter + 2) * 4 - 4
        if tiles > 10**6:
            break
        diameter += 2
        possibilities += 1
print(possibilities)