Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Elliptic Curve Analogue to the Fermat Numbers   The Fermat numbers have many notable properties, including order
universality, coprimality, and definition by a recurrence relation. We use
arbitrary elliptic curves and rational points of infinite order to generate
sequences that are analogous to the Fermat numbers. We demonstrate that these
sequences have many of the same properties as the Fermat numbers, and we
discuss results about the prime factors of sequences generated by specific
curves and points.

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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int