Question

I’m a python noob and have issues setting up a loop that checks if an int z is divisible by a set of numbers, e.g. by 1 – 10. I wrote the following code snippets, but they all return X =[all the numbers of z]… i.e. they fail to apply the if condition so that the mod is checked over all n in a given range/set.

X = []
z = 1
while z in range(1,1000):
    if all(z % n == 0 for n in range(1,21)):
        X.append(z) 
    z += 1

also tried:

X = []
if all(i % n == 0 for n in range(1,21)):
    X.append(i)

and

X = []
for z in range(1,1000000):
    if all(z % n == 0 for n in range(1,21)):
        X.append(z)  

Any idea what’s going wrong in each of these (or at least 1) of these cases?
Thanks for the help!

Answer 1

print [z for z in range(10000) if all(z%k==0 for k in range(1,10))]
>>> [0, 2520, 5040, 7560]

seems to work. Second example, i doesn’t seem to be initialized. Third seems to work.

PS : beware that fact(21) is quite big and certainly bigger than 1000000 – it’s not a perfect result but it might be a factor or two below the first answer (prime decomposition yadda yadda)