Frobenius pseudoprime

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In number theory, a Frobenius pseudoprime is a composite number which passes a three-step probable prime test set out by Jon Grantham in section 3 of his paper "Frobenius pseudoprimes".[1] Although a single round of Frobenius is slower than a single round of most standard tests, it has the advantage of a much smaller worst-case per-round error bound of 1/7710, which would require 7 rounds to achieve with the Miller-Rabin primality test according to best known bounds.

[edit] References

  1. ^ Jon Grantham. Frobenius pseudoprimes. Mathematics of Computation, 70 (234): 873-891. 2001.

[edit] See also