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Mathematics of Computation

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An $ O(n\sp{1/10.89})$ primality testing algorithm

Authors: Leonard Adleman and Frank Thomson Leighton
Journal: Math. Comp. 36 (1981), 261-266
MSC: Primary 10A25; Secondary 10-04, 68C25
MathSciNet review: 595060
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Abstract: In this paper, we describe an $ O({n^{1/10.89}})$ deterministic algorithm to decide primality. The algorithm incorporates several recent results in complexity theory.

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Keywords: Algorithm, Carmichael number, composite, factor, prime, residue
Article copyright: © Copyright 1981 American Mathematical Society

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