Goldbach's twin primes

Goldbach's twin primes

jnelson5 08 Sep 2008 06:37

Is there an easy formula that could be used to generate the sequence of numbers that are sums of twin primes (or an easy way to find said sequence)?

I know the sequence starts $8, 12, 24, 36, 60, 84, 120, 144, 204, 216, \cdots$ and it's not in the OEIS.

[edit: added three more terms to the sequence.]

Last edited on 08 Sep 2008 06:39 by jnelson5 Show more

Re: Goldbach's twin primes

jnelson5 08 Dec 2008 01:15

So…

Oddly enough, this sequence is in the OEIS… A054735 (Idon't know why I couldn't find it earlier!)

But it did mention that the formula to find any term is $p^q + q^p \mod pq$, where $p,q$ is the n^th twin prime pair.