Roshan's Conjecture

From Rest of What I Know

When I was a young child, I noticed a pattern. Every number past 3 seemed to have a pair of primes 'around' it.

Notice how for every number you can think of, there's a prime below it and a prime above it equidistant from it.

Better stated, what I concluded was that:

such that and are both prime. I couldn't find a single counter-example to this. I was terribly excited, of course, because I thought I'd discovered some fundamental property of the universe.

Of course this turns out to be almost entirely equivalent to the famous modern form of Goldbach's conjecture with a little cajoling. So much for my foray into Mathematics!