Quite an interesting problem in fact, full of features and properties. I have been studying Goldbach partitions for even numbers of the form 2p where p is prime, that leads exactly to what Bob points. I have computed thousands of this partitions forming triplets of primes (pa, p, pb) where pa + pb = 2p, p at the center. For example, for p = 43 the triplets would be: (19, 43, 67...
Leonel Morales
Feb 10, 2013