# My backwards logic

Ethan Furman ethan at stoneleaf.us
Fri Sep 5 19:08:18 CEST 2014

```On 09/05/2014 09:48 AM, Seymore4Head wrote:
> I'm still doing practice problems.  I haven't heard from the library
> on any of the books I have requested.
>
> http://www.practicepython.org/exercise/2014/04/16/11-check-primality-functions.html
>
> This is not a hard problem, but it got me to thinking a little.  A
> prime number will divide by one and itself.  When setting up this
> loop, if I start at 2 instead of 1, that automatically excludes one of
> the factors.  Then, by default, Python goes "to" the chosen count and
> not "through" the count, so just the syntax causes Python to rule out
> the other factor (the number itself).
>
> So this works:
> while True:
>      a=random.randrange(1,8)
>      print (a)
>      for x in range(2,a):
>          if a%x==0:
>              print ("Number is not prime")
>              break
>      wait = input (" "*40  + "Wait")
>
> But, what this instructions want printed is "This is a prime number"
> So how to I use this code logic NOT print (not prime) and have the
> logic print "This number is prime"

Python's 'for' loop has a handy 'else' extension which is perfect for the search-type of 'for' loop:

while True:
a=random.randrange(1,8)
print (a)
for x in range(2,a):
if a%x==0:
print ("Number is not prime")
break
else:
print ("Number is prime")
wait = input (" "*40  + "Wait")

Note the two lines I added after the 'break' and before the 'wait'.

--
~Ethan~

```