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Euler Pseudoprimes for Half of the Bases

Lorenzo Di Biagio
Published Online: 2012-11-30 | DOI: https://doi.org/10.1515/integers-2012-0037


We prove that an odd number n is an Euler pseudoprime for exactly one half of the admissible bases if and only if n is a special Carmichael number, that is,

for every invertible .

Keywords: Euler Pseudoprimes; Liars; Carmichael Numbers

About the article

Received: 2011-05-25

Revised: 2011-11-11

Accepted: 2011-11-18

Published Online: 2012-11-30

Published in Print: 2012-12-01

Citation Information: Integers, Volume 12, Issue 6, Pages 1231–1237, ISSN (Online) 1867-0652, ISSN (Print) 1867-0652, DOI: https://doi.org/10.1515/integers-2012-0037.

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© 2012 by Walter de Gruyter Berlin Boston.Get Permission

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