2019年1月6日 · The so-called primitive function f f, which was the starting point and so came first, the root meaning of primitive (Lat. primus, first), is what we might call an antiderivative or integral of p p. …

2015年1月3日 · How would you find a primitive root of a prime number such as 761? How do you pick the primitive roots to test? Randomly? Thanks

I'm trying to understand what primitive roots are for a given mod n mod n. Wolfram's definition is as follows: A primitive root of a prime p p is an integer g g such that g (mod p) g (mod p) has …

2019年4月29日 · Let a a be a primitive root modulo odd prime. Show that in an arithmetic progression a + kp a + k p, where k = 0, 1, …, p − 1 k = 0, 1,, p 1 there is exactly one number that is NOT a …

9 What is a primitive polynomial? I was looking into some random number generation algorithms and 'primitive polynomial' came up a sufficient number of times that I decided to look into it in more detail. …

2014年7月14日 · It can be proven that a primitive root modulo $n$ exists if and only if $$n \in \ { 1,2 , 4, p^k, 2 p^k \}$$ with $p$ odd prime. For each $n$ of this form there are exactly $\phi (n)$ primitive roots.

2014年11月30日 · I'm trying to go in a kind of unconventional route and prove the existence of a primitive root \mathchoice (mod p) \mathchoice (mod p) (where p p is a prime) using group theory.

2018年3月5日 · Example of searching another primitive root. $3$ is a primitive root modulo $7$ and $\phi (7)=6$. Thus $3^5=5$ modulo $7$ is the only other p.r. because $2,3,4,6$ are not coprime with …

2024年6月26日 · 1 Based on the comments, a primitive central idempotent is a central idempotent that cannot be written as a sum of two central orthogonal idempotents. If we define that a primitive …

2012年1月21日 · Show that the primitive n-th roots of unity have the form e2kiπ/n e 2 k i π / n for k, n k, n coprime for 0 ≤ k ≤ n 0 ≤ k ≤ n. Since all primitive n-th roots of unity are n-th roots of unity by …