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CHAPTER 6 - Some Special Congruences
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6.1 Wilson's Theorem and Fermat's Little Theorem

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Biographical information about John Wilson can be found at the MacTutor History of Mathematics Archive at http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Wilson_John.html (John Wilson)

Biographical information about Joseph Lagrange can be found at the MacTutor History of Mathematics Archive at
http://www-groups.dcs.st-andrews.ac.uk/~history/Mathematicians/Lagrange.html (Lagrange)

 

6.2 Pseudoprimes

 

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To learn more about pseudoprimes and Carmichael numbers, including lists of these numbers, go to http://www.chalcedon.demon.co.uk/carpsp.html

 

 

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More information about Carmichael numbers and about Robert Carmichael can be found at http://www.pballew.net/FermLit.html

 

 

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You can use the tool at http://www.numbertheory.org/php/lucas.html (The Lucas-strong base 2 pseudoprime test) to determine whether an integer is a strong pseudoprime to the base 2.

 

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Biographical information about Georg Friedrich Bernhard Riemann can be found at the MacTutor History of Mathematics Archive at
http://www-groups.dcs.st-andrews.ac.uk/~history/Mathematicians/Riemann.html (Riemann)

 

6.3 Euler's Theorem

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Biographical information about Leonhard Euler can be found at the MacTutor History of Mathematics Archive at
http://www-groups.dcs.st-andrews.ac.uk/~history/Mathematicians/Euler.html (Euler)

 
The collected works and letters of Leonhard Euler are edited by the Euler Commision of the Swiss Academy of Sciences and are published as the Opera Omnia by Birkhäuser in Basel, Switzerland. You can find information on this project, including a schedule of publication dates of the yet unpublished portions, at
 http://www.springeronline.com/sgw/cda/frontpage/0,11855,5-40295-69-33978554-0,00.html (Leonhard Euler: Opera Omnia)

Information about the Euler Commission of the Swiss Academy of Sciences, founded in 1907 and charged with editing the collected works of Leonhard Euler, as the Opera Omnia, can be found at
http://www.leonhard-euler.ch/ (Euler Commission)