Using a while loop to check divisibility of a range of numbers

Question

I am trying checking the divisibility of 5 and 7 for the numbers in the range from 1 to 41 using a while loop. I know that there are other options, such as a for loop, but I would like to understand how the code needs to be set up with a while loop. This is the code I wrote:

n = 1
m = 41

div = [5,7]

while(n<=m): 
    if n == 13:
        continue
    if n%div[0]==0 and n%div[1]==0:
        print(n, 'the number is divisible for both 5 and 7')    
    elif n%div[0]==0:
        print(n, 'the number is divisible for 5')    
    elif n%div[1]==0:
        print(n, 'the number is divisible for 7')
    else:
        print(n, 'is divisible for neither 5 or 7')

On the Jupyter session, it didn't return an error, but it takes a significant amount of time to process the output. Can someone tell me how to properly modify this code?

Answer 1

The continue would block the while loop to go any further when n == 13.

Other than that, the code and algorithm are actually correct. You just forgot to set an incremental structure (n+=1).

n = 1
m = 41

div = [5,7]

while(n<=m): 
    if n == 13:
        n+=1
    if n%div[0]==0 and n%div[1]==0:
        print(n, 'the number is divisible for both 5 and 7')    
    elif n%div[0]==0:
        print(n, 'the number is divisible for 5')    
    elif n%div[1]==0:
        print(n, 'the number is divisible for 7')
    else:
        print(n, 'is divisible for neither 5 or 7')
    n+=1