定义13.2 - 原根 Primitive Root 推论13.3 - 原根的判断 证明 练习1 定理13.4 推论13.5 例子 证明* 13.6例题(需要答案可以评论或者私信呀) 注:本文是针对NTU MH3210 Number Theory的学习笔记,主要内容为基础数论,内容不难,无需大学的数学知识也可以理解大部分。答主是一年前学的这门课,当时没有在知乎上做总结,...
primitive root 原根,本原根 primitive root of unity 本原单位根 to the root 充分地,尽情地 at the root of prep.是...的根本 at root 根本上,实际上 by the root 连根一起,彻底地 root for 为…鼓劲;支持,赞助 root in v. 来源于 output primitive 输出基元(=display element) primitiv...
2. 本原根 ... primary root 【植】初生根primitive root【数】本原根primitive root of unity 本原单位根 ... comic.sjtu.edu.cn|基于5个网页 3. 字根型 ... Protasis 条件子句primitive root字根型primitive word 基本字型 ... bible.fhl.net|基于 1 个网页 ...
primitive root 英文primitive root 中文【计】 原根
primitive root 词汇primitive root 释义 Definition ofprimitive rootin English: primitive root noun Mathematics An integer g that is relatively prime to a given integer n and such that the least power to which g can be raised to yield unity modulo n is the totient of n....
PrimitiveRoot[n,k] 给出n的大于或等于k的最小原根. 更多信息 范例 打开所有单元 基本范例(2) 9的原根是2: In[1]:= Out[1]= 该原根产生所有与9互质的整数模9: In[2]:= Out[2]= 10的原根: In[1]:= Out[1]= 10的最小原根: In[2]:= ...
原根:数学中的神秘力量与应用 在数论的殿堂里,原根扮演着至关重要的角色,它们是整数阶的神秘钥匙,揭示了模幂运算的深层结构。让我们首先来探讨一下什么是整数的阶。如果一个整数\( a \)对于模\( n \)满足\( a^{\phi(n)} \equiv 1 \pmod{n} \),其中\( \phi(n) \)是欧拉函数,...
Primitive Root A primitive root modulo m is a number g such that the smallest positive number k for which the difference gk— 1 is divisible by m—that is, for which gk is congruent to 1 modulo m—coincides with ɸ(m), where ɸ(m) is the number of positive integers less than m...
Korselt证明的Carmicheal数的等价定义就用到原根的存在性.存在原根的数可以定义离散对数,离散对数在某些...
A primitive root of a number (but not necessarily the smallest primitive root for composite ) can be computed in the Wolfram Language using PrimitiveRoot[n]. If has a primitive root, then it has exactly of them (Burton 1989, p. 188), which means that if is a prime number, then ther...