Check if product of first N natural numbers is divisible by their sum in Python

Suppose we have a number n. We have to check whether the product of (1*2*...*n) is divisible by (1+2+...+n) or not

So, if the input is like num = 5, then the output will be True as (1*2*3*4*5) = 120 and (1+2+3+4+5) = 15, and 120 is divisible by 15.

To solve this, we will follow these steps −

• if num + 1 is prime, then
  • return false
• return true

Example

Let us see the following implementation to get better understanding −

 Live Demo

def isPrime(num):
   if num > 1:
      for i in range(2, num):
         if num % i == 0:
            return False
      return True
   return False
def solve(num):
   if isPrime(num + 1):
      return False
   return True
num = 3
print(solve(num))

Input

5

Output

True