Find the max length of a narcissistic number

warmup_02_proof.py

found = False
i = 1
# the first n digit number is 10**(n-1).
# the largest possible number you can get by summing n digits to the nth power is n*9**n.
# if that largest number is smaller than the first number of length n then no more Narcissistic numbers exist.
while not found:
    if i*9**i > 10**(i-1):
        i += 1
    else:
        found = True

print("Max number of digits: {}".format(i - 1))