中文摘要：

Lucas数列的模数列是与模m相关的周期数列。根据Lucas数列的模数列和周期的定——利用初等数论的相关知识,讨论了Lucas数列的模数列的周期性,证明了当模m是小于20的不同的素数2,3,5,…,17,19时,Lucas数列的模数列{bn（m）}的周期分别是3,8,34,16,10,28,36,18。

英文摘要：

According to the definition of modular sequence of Lucas sequence, periodic modulus Lucas subsequence is discussed by using the knowledge of elementary number theory and proved that periodic modulus Lucas series columns are respectively3,8,34,16,0,28,36,18, when the modulus is2,3,5,…, 17,19.