[–] phw 0 points 2 points (+2|-0) ago 

What about proof by cases? Look how easily this powerful technique handles the Goldbach Conjecture!

Suppose the even number 2n is expressible by 2n = p + q where p and q are prime numbers. In that case we are done. Alternatively, suppose 2n is not a sum of two primes. But then we are still done! QED.