The "progressions" was bungled shorthand for (infinitely many repetitions of) sets of m consecutive primes with specified differences; and of course the conjecture is the "twin prime" (don't listen to what I say; listen to what I mean). Thanks for corrections, and apologies for my typographical incompetence. WFL On 11/20/13, Andy Latto <andy.latto@pobox.com> wrote:
On Wed, Nov 20, 2013 at 9:46 AM, Fred Lunnon <fred.lunnon@gmail.com> wrote:
sabbatical year or two --- by which time it would no doubt have undergone further drastic improvement.
The result generalises to finite arithmetic progressions of m consecutive primes with span h , for which instead h <= exp(8m + 5) .
There must be some further restriction this . In particular, h must be a multiple of p, for any p <=m, or one of the numbers in the progression will be a multiple of p. Are there any additional restrictions?
For those with time to spare and robust self-esteem, there is (considerably) more detail available at
http://terrytao.wordpress.com/2013/11/19/polymath8b-bounded-intervals-with-m...
On this page, a comment asks if any of this generalizes to arithmetic progressions, but there is no reply.
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