Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Infinitely Many Carmichael Numbers for a Modified Miller-Rabin Prime
  Test   We define a variant of the Miller-Rabin primality test, which is in between
Miller-Rabin and Fermat in terms of strength. We show that this test has
infinitely many "Carmichael" numbers. We show that the test can also be thought
of as a variant of the Solovay-Strassen test. We explore the growth of the
test's "Carmichael" numbers, giving some empirical results and a discussion of
one particularly strong pattern which appears in the results.

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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat