Fibonnacci numbers less than set value

Question

Why does this piece of code not generate fibonacci numbers less than the set value.

from math import sqrt
def Fib(n):
    return round(((1+sqrt(5))**n-(1-sqrt(5))**n)/(2**n*sqrt(5)))

def Fiblessthan(m):
    total = [0]
    count = 1
    while max(total) < m:
        total.append(Fib(count))
        count = count + 1

For example i won't it to be able to print all the fibonacci numbers less than 4000000. Is this the right way to approach this.

Answer 1

from math import sqrt
def Fib(n):
    return round(((1+sqrt(5))**n-(1-sqrt(5))**n)/(2**n*sqrt(5)))

def Fiblessthan(m):
    total = [0]
    count = 1
    while total[-1] < m:
        total.append(Fib(count))
        count = count + 1
    return total

you have to check for length of total less than m.