A Geometric Proof of Fermat’s Little Theorem

Thomas Beatty; Marc Barry; Andrew Orsini

首页> 外文期刊>Advances in Pure Mathematics >A Geometric Proof of Fermat’s Little Theorem

【24h】

A Geometric Proof of Fermat’s Little Theorem

机译：费马小定理的几何证明

获取原文

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

We present an intuitively satisfying geometric proof of Fermat's result for positive integers that src="Edit_0b50006d-6c00-4238-bfe4-e54f91b8720a.bmp" alt="" /> style="font-family:Verdana;font-size:12px;"> style="font-size:10pt;font-family:;" "=""> style="font-family:Verdana;font-size:12px;">for prime moduli style="font-family:Verdana;font-size:12px;">p style="font-family:Verdana;font-size:12px;">, provided style="font-family:Verdana;font-size:12px;">p style="font-family:Verdana;font-size:12px;"> does not divide style="font-family:Verdana;font-size:12px;">a style="font-family:Verdana;font-size:12px;">. This is known as Fermat’s Little Theorem. The proof is novel in using the idea of colorings applied to regular polygons to establish a number-theo style="font-size:12px;font-family:Verdana;">retic result. A lemma traditionally, if ambiguously, attributed to Burnside provides a critical enumeration step.

机译：我们为正整数提供了费马结果的直观令人满意的几何证明，该正整数 src =“ Edit_0b50006d-6c00-4238-bfe4-e54f91b8720a.bmp” alt =“” /> style =“ font-family：Verdana; font- size：12px;“> style =” font-size：10pt; font-family :;“ “ =”“> style =” font-family：Verdana; font-size：12px;“>用于素模 style =” font-family：Verdana; font-size：12px ;“> p style =” font-family：Verdana; font-size：12px;“>，提供了 style =” font-family：Verdana ; font-size：12px;“> p style =” font-family：Verdana; font-size：12px;“>不分割 style =“ font-family：Verdana; font-size：12px;”> a style =“ font-family：Verdana; font-size：12px;”>。这就是Fermat的小定理。该证明是新颖的，它使用了将着色应用于规则多边形的想法来建立数字-theo style =“ font-size：12px; font-family：Verdana;”>通常，归因于Burnside的引理提供了关键的枚举步骤。

著录项

来源
《Advances in Pure Mathematics》 |2018年第1期|共4页
作者
Thomas Beatty; Marc Barry; Andrew Orsini;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种
中图分类数学;
关键词

相似文献

外文文献
中文文献
专利

1. Very Original Proofs of Two Famous Problems: “Are There Any Odd Perfect Numbers?” (Unsolved until to Date) and “Fermat’s Last Theorem: A New Proof of Theorem (Less than One and a Half Pages) and Its Generalization” [J] . Demetrius Chr. Poulkas Advances in Pure Mathematics . 2021,第11期

机译：非常原始的两个着名问题：“有奇怪的完美数字吗？” （未解决至迄今为止）和“Fermat的最后定理：定理的新证明（不到一个半页）及其概括”
2. Proof for the Beal conjecture and a new proof for Fermat's last theorem [J] . Leandro Torres Di Gregorio Pure and Applied Mathematics Journal . 2013,第5期

机译：Beal猜想的证明和Fermat的最后定理的新证明
3. Simple analytical proofs of three Fermat’s theorems [J] . R.A.D.Piyadasa, A.M.D.M.Shadini, W.J.M.L.P.Jayasinghe Canadian Journal on Computing in Mathematics, Natural Sciences, Engineering and Medicine . 2011,第3期

机译：费马三个定理的简单分析证明
4. A String of Pearls: Proofs of Fermat's Little Theorem [C] . Hing-Lun Chan, Michael Norrish International conference on certified programs and proofs . 2012

机译：一串珍珠：费马小定理的证明
5. New proofs of (new) Direct Product Theorems. [D] . Jaiswal, Ragesh. 2008

机译：（新）直接乘积定理的新证明。
6. PROOF OF FERMATS LAST THEOREM FOR ALL PRIME EXPONENTS LESS THAN 4002 [O] . J. L. Selfridge, C. A. Nicol, H. S. Vandiver 1955

机译：小于4002的所有素指数的FERMAT最后定理的证明
7. Diophantus' 20th Problem and Fermat's Last Theorem for n=4: Formalization of Fermat's Proofs in the Coq Proof Assistant [O] . Delahaye, David, Mayero, Micaela 2005

机译：Diophantus的第20个问题和费马的最后定理为n = 4：在Coq proof assistant中形成Fermat的证明

A Geometric Proof of Fermat’s Little Theorem

摘要

著录项

相似文献

相关主题

期刊订阅