Bear with me. I'm new to forum and don't yet know all protocol. My question concerns twin primes. The previous thread on this topic seems to be closed. My question is this: When considering the Twin Primes Conjecture, has anyone researched the idea that (heuristically speaking) there is evidence that if p and p+2 are twin primes, there should be at least one pair of twin primes q and q+2 such that p^2 < q < (p+2)^2-2? From a probability standpoint, it seems that we should expect 2 or more pairs of twin primes in each such interval. The reasons for this involve simple modular arithmetic. Proving this is obviously much harder, but it seems a reasonable way to search for twins (i.e. choose largest known twin prime pair p and p+2 and search the interval (p^2, (p+2)^2-2)). Anyway, I'm probably off base, but would welcome comments.