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Timeline for Linear equation with primes

Current License: CC BY-SA 2.5

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Sep 13, 2010 at 5:12 history edited Charles
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Jan 3, 2010 at 23:00 vote accept Manuel Silva
Dec 31, 2009 at 7:28 answer added Terry Tao timeline score: 15
Dec 31, 2009 at 7:13 comment added David Lehavi @Gjergji: here is the link to the preprint: arxiv.org/pdf/math/0606088v2
Dec 31, 2009 at 4:36 comment added Gjergji Zaimi Well, there is the work of Tao and Green about linear equations in primes, but it does not contain these cases terrytao.wordpress.com/2008/11/18/…
Dec 31, 2009 at 4:26 history edited Charles Siegel
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Dec 31, 2009 at 4:17 comment added Ben Weiss Ah, very true, I'll head back and delete those comments. If $k$ is fixed, then this is a notoriously difficult problem.
Dec 31, 2009 at 4:07 comment added fedja Come on, guys, varying $k$ is just the Dirichlet's theorem about primes in arithmetic progressions! Of course, neither I, nor Manuel meant that.
Dec 31, 2009 at 3:49 comment added fedja $k=2$, $n=1$ is another well-known open problem (Sophie Germain primes) and so are all other cases except the ones when trivial considerations modulo some number garantee that there may be only finitely many solutions. I will be genuinely surprised if a technique is invented that will allow to solve some but not all nontrivial questions in this series.
Dec 31, 2009 at 3:49 comment added Qiaochu Yuan Do you have any reason to expect that this is easier than the twin prime conjecture?
Dec 31, 2009 at 3:33 history asked Manuel Silva CC BY-SA 2.5