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Strong Pseudoprimes and Quadratic Residues

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Factorization and Primality Testing

Part of the book series: Undergraduate Texts in Mathematics ((UTM))

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Abstract

Having pursued some of the consequences of Fermat’s observation, I now invite you to delve back into the mysteries of the structure of the integers. In these next two chapters we will be pulling out a few more jewels that we can apply to our twin problems of factorization and primality testing.

“When you have to study a large number, you should begin by finding some of its quadratic residues.”

- Maurice Kraitchik

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References

  • C. Pomerance, J. L. Selfridge, and S. S. Wagstaff, Jr., “The pseudoprimes to 25 x 109”, Math. of Computation, 35(1980), 1003–1026.

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© 1989 Springer-Verlag New York, Inc.

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Bressoud, D.M. (1989). Strong Pseudoprimes and Quadratic Residues. In: Factorization and Primality Testing. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4544-5_6

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  • DOI: https://doi.org/10.1007/978-1-4612-4544-5_6

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-8871-8

  • Online ISBN: 978-1-4612-4544-5

  • eBook Packages: Springer Book Archive

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