Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounded prime gaps in short intervals   We generalise Zhang's and Pintz recent results on bounded prime gaps to give
a lower bound for the the number of prime pairs bounded by 6*10^7 in the short
interval $[x,x+x (\log x)^{-A}]$. Our result follows only by analysing Zhang's
proof of Theorem 1, but we also explain how a sharper variant of Zhang's
Theorem 2 would imply the same result for shorter intervals.

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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
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The categories of this paper are: supr-con
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: nlin
1
The categories of this paper are: cs