Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Jacob's Ladder: Prime numbers in 2d   Prime numbers are one of the most intriguing figures in mathematics. Despite
centuries of research, many questions remain still unsolved. In recent years,
computer simulations are playing a fundamental role in the study of an immense
variety of problems. In this work, we present a simple representation of prime
numbers in two dimensions that allows us to formulate a number of conjectures
that may lead to important avenues in the field of research on prime numbers.
In particular, although the zeroes in our representation grow in a somewhat
erratic, hardly predictable way, the gaps between them present a remarkable and
intriguing property: a clear exponential decay in the frequency of gaps vs gap
size. The smaller the gaps, the more frequently they appear. Additionally, the
sequence of zeroes, despite being non-consecutive numbers, contains a number of
primes approximately equal to n/log(n) , being n the number of terms in the
sequence.

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The categories of this paper are: astro-ph
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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: q-bio
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The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org