# Check if difference of areas of two squares is prime in Python

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#### Beyond Basic Programming - Intermediate Python

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Suppose we have two numbers x and y. We have to check whether difference of their areas is prime or not.

So, if the input is like x = 7, y = 6, then the output will be True as the difference of their square is 49 - 36 = 13 which is prime.

To solve this, we will follow these steps −

• if (x + y) is prime number and (x - y) is 1, then
• return True
• otherwise,
• return False

Let us see the following implementation to get better understanding −

## Example

Live Demo

def is_prime(num) :
if num <= 1 :
return False
if num <= 3 :
return True
if num % 2 == 0 or num % 3 == 0 :
return False
i = 5
while i * i <= num:
if num % i == 0 or num % (i + 2) == 0:
return False
i = i + 6
return True
def solve(x, y):
if is_prime(x + y) and x - y == 1:
return True
else:
return False
x, y = 7, 6
print(solve(x, y))

## Input

7,6

## Output

True