Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Estimating constellations among primes - I. Uniformity   A few years ago we identified a recursion that works directly with the gaps
among the generators in each stage of Eratosthenes sieve. This recursion
provides explicit enumerations of sequences of gaps among the generators, which
are known as constellations.
  In this paper, we use those enumerations to estimate the numbers of these
constellations that occur as constellations among prime numbers, and we compare
these estimates with computational results. We include in our estimates the
constellations corresponding to three and four consecutive primes in arithmetic
progression.
  For these initial estimates, we assume that the copies of a given
constellation tend toward a uniform distribution in the cycle of gaps, as the
recursion progresses. Our simple estimates based on the recursion of gaps and
the assumption of uniformity appear to have correct asymptotic behavior, and
they exhibit a systematic error correlated to length of the constellation.

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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph