(Bonus Question) Primes... Why? Why? Why?

Follow-up from the discussion on 9 January 2013 (Wednesday), Notes p2 Q5

Add any two primes greater than 2, we will get an even number.
Explain clearly, using algebra on why the result is always an even number.

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  1. All the prime numbers greater than 2 are all odd numbers.Treat a as 2. So, 3 =1.5a. 1.5a+1.5a=3a which is 6, an even number

  2. all prime numbers except 2 are odd.
    as when two odd numbers add together, they become an even number.