%0 Journal Article
%T 坎特伯雷难题集中全一数R19是素数的证明<br>Proof That Repunit R19 in the Canterbury Problem Set Is a Prime Number
%A 冯贝叶
%J Advances in Applied Mathematics
%P 2062-2068
%@ 2324-8009
%D 2024
%I Hans Publishing
%R 10.12677/aam.2024.135193
%X 一个正整数的素性判别是数论中一个有意义和有兴趣的问题，全一数R19是否是一个素数的问题虽在文献中提到已被用n？1法解决，但国内一直未见有证明方法的介绍，本文借助于数学软件Mathematica12.0用个人计算机证明了坎特伯雷难题集中全一数R19是一个素数。这对证明其他整数的素性判定提供了一个参考。<br />
The primality criterion of a positive integer is a meaningful and interesting problem in number theory. Although the question of whether Repunit R19 is a prime has been solved by then？1method in literature, there is no introduction to a proven method in China. This article uses the mathematical software Mathematical12.0 to prove on a personal computer that the Repunit R19 in the Canterbury problem set is a prime number. This provides a reference for proving the primality of other integers.
%K 全一数R19，素数，Mathematica12.0，个人计算机<br>Repunit R19
%K Prime Number
%K Mathematica12.0
%K Personal Computer
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=87570