关于2~ip^j+1型素数及其原根  

On primes of the form 2~ip^j+1 and their primitive roots

作　　者：蔺冰[1] 

机构地区：[1]成都信息工程学院网络工程学院,成都610225

出　　处：《兰州大学学报（自然科学版）》2013年第5期719-721,共3页Journal of Lanzhou University(Natural Sciences)

基　　金：国家自然科学基金项目(10971088)

摘　　要：对2ipj+1型素数进行了讨论,证明了关于素数原根的两个猜想,并进一步证明了当i3时,2不是2ipj+1型素数的原根.Some properties of the primes of the form 2ipj ＋1 and their primitive roots were discussed. Two conjectures on prime＇s primitive roots were proved. It was also proved that 2 is not a primitive root for each prime of the form 2ipj ＋ 1 for i ≥3.

关 键 词：素数 原根 二次剩余 二次非剩余 频率稳定性 

分 类 号：O156.1[理学—数学]