Jan 6, 2019 · 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. …

Jan 3, 2015 · 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

Apr 29, 2019 · 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 primitive …

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. …

I'm asked the following question: Prove that b b is a primitive root modulo p p the smallest positive exponent e e such that be ≡ 1 (mod p) b e ≡ 1 (mod p) is p − 1 p 1. I know that this could probably be …

Sep 29, 2023 · There is only one primitive quadratic Dirichlet character modulo N N, namely the one induced by (Δ(⋅) (Δ ( ⋅ ), where Δ Δ is the discrimininant with absolute value N N.

Jan 28, 2017 · Artin-Wedderburn matrix decomposition holds for every semisimple ring. The first chapter of T.Y. Lam's book "A first course in noncommutative rings" should have everything you need.

Jun 9, 2022 · A maximal closed subgroup of SUn S U n is (almost) always primitive, see Properties of primitive matrix groups for the exception. And in particular a maximal closed subgroup which is finite …

Mar 23, 2019 · There are indeed ϕ(ϕ(31)) = 8 ϕ (ϕ (31)) = 8 primitive roots modulo 31 31 and you can find them as described here: Finding a primitive root of a prime number For example, 3k ≡ 1 mod 31 …

Oct 29, 2014 · How can i find the number of primitive elements over the field of order q? GF(27) for example. Is there a formula that I can follow? I'm really confused on how to find them. Any help …