A string of pearls: Proofs of fermat's little theorem

Hing Lun Chan*, Michael Norrish

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    4 Citations (Scopus)

    Abstract

    We discuss mechanised proofs of Fermat's Little Theorem in a variety of styles, focusing in par-ticular on an elegant combinatorial "necklace" proof that has not been mechanised previously. What is elegant in prose turns out to be long-winded mechanically, and so we examine the effect of explicitly appealing to group theory. This has pleasant consequences both for the necklace proof, and also for some of the direct number-theoretic approaches.

    Original languageEnglish
    Pages (from-to)63-87
    Number of pages25
    JournalJournal of Formalized Reasoning
    Volume6
    Issue number1
    Publication statusPublished - 2013

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