here, for a non prime number, the break statement in the inner loop is executed but the else statement of the outer loop is not executed, why?

L = []
nmax = 30

for n in range(2, nmax):
    for factor in L:
        if n % factor == 0:
            break
    else: # no break
        L.append(n)
print(L)

Does the else in the outer loop work if the if statement is not execute din the inner loop...are they really connected inspite being in different loops