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 …

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.

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 …

2020年12月30日 · There are primitive roots mod n n if and only if n = 1, 2, 4,pk, 2pk n = 1, 2, 4, p k, 2 p k, where p p is an odd prime. The question is, for such general n n given as above (with n ≠ p n ≠ p), …

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.

2023年7月31日 · PrimitiveIdentification requires the group to be a primitive group of permutations, not just a group that can be primitive in some action. You will need to convert to a permutation group, …