TY - JOUR AU - Chan, Hing Lun AU - Norrish, Michael PY - 2013/01/01 Y2 - 2024/03/28 TI - A String of Pearls: Proofs of Fermat's Little Theorem JF - Journal of Formalized Reasoning JA - JFR VL - 6 IS - 1 SE - Articles DO - 10.6092/issn.1972-5787/3728 UR - https://jfr.unibo.it/article/view/3728 SP - 63-87 AB - We discuss mechanised proofs of Fermat's Little Theorem in a variety of styles, focusing in particular 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. ER -