I've updated the paper I submitted to the arXiv

here. It is now entitled "On prime chains." It gives some interesting, but fairly minor results about sequences of primes

such that

for all

.

The second version expands the results of first version, improves the literature review and corrects some typos I made (which would have been very confusing for whomever read the first version).

I'm somewhat tempted to submit this to some mediocre journal - but I think i'd prefer it if someone came up with some good ideas, helped make it into a better paper and they could become co-author. But, in any case, I'd appreciate any feedback.