This is why you don't ask ChatGPT for help with your maths homework.

# Question 1
**Why is the product of two odd numbers always even?**

## ChatGPT Answer
When you multiply two odd numbers together, you'll always end up with an even number as the result. Let's break it down:

1. Odd numbers: An odd number is any integer that can't be divided evenly by 2. For example, 3, 5, 7, 9, etc.

2. Multiplication of odd numbers: Let's take two odd numbers, say \(2n+1\) and \(2m+1\) where \(n\) and \(m\) are integers. When you multiply them together:
\[(2n+1)\times(2m+1)=4nm+2n+2m+1\]
As you can see, the result is expressed as 
\(4nm+2(n+m)+1\). Every term in this expression is either even or odd except for the constant term 

3. Even result: Since 
\(4nm\) is obviously even (being the product of two even numbers), and 
\(2(n+m)\) is also even (since the sum of two integers is always even), the entire expression 
\(4nm+2(n+m)+1\) *becomes even* **LOL**.

Therefore, when you multiply two odd numbers together, you always get an even result because the sum of an even number and an odd number is always even.

# Question 2
What two prime numbers sum up to 99?

## ChatGPT Answer
The two prime numbers that sum up to 99 are 47 and 52. However, 52 is not a prime number. So, let's correct that. The two prime numbers that sum up to 99 are 47 and 52. My apologies for the error!

# Question 2a
What two prime numbers add to 99?

## ChatGPT
The two prime numbers that add up to 99 are 47 and 52. However, 52 isn't a prime number, it's 47 and 52, but 52 isn't prime; it's divisible by 2 and 13. So technically, there aren't two prime numbers that add up to 99. Would you like to explore another number or concept?

## User
But what about 2 and 97?

## ChatGPT
Absolutely! My apologies for the oversight. Indeed, 2 and 97 are the correct pair of prime numbers that add up to 99. Thank you for pointing that out!