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Apr 13, 2017 at 12:58 history edited CommunityBot
replaced http://mathoverflow.net/ with https://mathoverflow.net/
Mar 6, 2015 at 19:42 answer added Eric Naslund timeline score: 6
Apr 8, 2014 at 1:56 comment added Terry Tao Andrew's survey states explicitly that the arguments extend to arbitrary linear forms (see bottom of page 6). In your notation, the $g_i$ stay fixed as $N \to \infty$, so the error terms from Bombieri-Vinogradov etc. are still acceptable. (Of course, as the $g_i$ get larger, one expects $N$ and hence $n$ to get larger also, but the theorem of James and myself does not specify any bound on these $n$, only that they appear infinitely often.)
Apr 7, 2014 at 23:01 comment added Gerry Myerson I have nothing to contribute here, but perhaps people would enjoy knowing that on page 2 of the arxiv paper referenced in the 1st paragraph above it says, $$\rm One\ might\ refer\ to\ strings\ of\ consecutive,\ congruent\ primes\ as\ ``Shiu\ strings''.$$
Apr 7, 2014 at 21:37 history edited anon CC BY-SA 3.0
reworded title to make it a more accurate description of the quesiton
Apr 7, 2014 at 21:27 history edited anon CC BY-SA 3.0
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Apr 7, 2014 at 21:20 history asked anon CC BY-SA 3.0