Euler's totient function - Wikipedia
The first thousand values of φ(n).The points on the top line represent φ(p) when p is a prime number, which is p − 1. [1]In number theory, Euler's totient function counts the positive integers up to a given integer n that are relatively prime to n.It is written using the Greek letter phi as () or (), and may also be called Euler's phi function.In other words, it is the number of integers k ...
欧拉函数 - OI Wiki
3 天之前 · 欧拉函数 定义. 欧拉函数（Euler's totient function），即 ，表示的是小于等于 和 互质的数的个数。. 比如说 。. 当 是质数的时候，显然有 。. 性质. 欧拉函数是 积性函数。. 即对任意满足 的整数 ，有 。. 特别地，当 是奇数时 。. 证明参见 剩余系的复合。. 证明
为什么有的希腊字母会有好几个字符，比如「ϕ」和「Φ」？ - 知乎
2015年3月23日 · φ 是 “greek small letter phi”, 「小写希腊字母 phi」。 其 Unicode 代码是 U+03C6. 从定义名称可以看出，后两者（U+03A6, U+03C6) 是「字母」，是用于显示希腊文的，地位相当于拉丁字母之于使用它的文字；而 U+03D5, 则是一个「符号」，并不用于显示希腊文 …
phi (23) - Wolfram|Alpha
phi(23) Natural Language; Math Input; Extended Keyboard Examples Upload Random. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music…
Euler's Totient φ(n) Calculator - Online Phi Function - dCode.fr
Phi(n) (euler indicator) is determined in several ways. The best-known calculation formula for determining the value of the Euler indicator uses the decomposition into prime factors of $ n $. Let $ p_i $ be the $ m $ distinct prime factors that are divisor or $ …
Euler Phi Function/Table - ProofWiki
2024年5月6日 · : Tables: $8$ The Proper Factors, where Composite, and the Values of the Functions $\map \phi n$, $\map d n$ and $\map \sigma n$ 1997: David Wells : Curious and Interesting Numbers (2nd ed.) ...
Euler's Totient Function Values For n = 1 to 500, with Divisor Lists
n φ(n) List of Divisors; 1: 1: 1: 2: 1: 1, 2: 3: 2: 1, 3: 4: 2: 1, 2, 4: 5: 4: 1, 5: 6: 2: 1, 2, 3, 6: 7: 6: 1, 7: 8: 4: 1, 2, 4, 8: 9: 6: 1, 3, 9: 10: 4: 1, 2, 5 ...
3.8 The Euler Phi Function - Whitman College
Leonhard Euler. Euler (pronounced "oiler'') was born in Basel in 1707 and died in 1783, following a life of stunningly prolific mathematical work.
如何评价微软发布的 phi-3？ - 知乎
2024年4月23日 · Phi-1.5是 23 年 9 月发布，技术报告的标题叫Textbooks Are All You Need II: phi-1.5 technical report[3]。Phi1.5 其实有两个版本，如下图所示，web 版除了合成数据还增加了 web 数据。总的数据量不大，只有 30B 和100B 和，靠多训练几轮来增加训练 token 数。
Euler's Totient Function - Math is Fun
These are all examples of Euler's Totient Function, which has the symbol φ (the Greek letter Phi) φ(6) = 2; φ(12) = 4; φ(15) = 8; It is that simple, just crossing numbers off a list. But it can take a long time of course, so any timesavers would be handy. Let's discover some! Prime Numbers. What happens with prime numbers?