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 …

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 …

A primitive function of ex2 e x 2 Ask Question Asked 10 years, 11 months ago Modified 5 years, 5 months ago

Sep 1, 2015 · Primitive roots are generators of the multiplicative group of integers modulo n n, which is useful in proofs. Moreover primitive roots are difficult to compute in some groups, and …

May 16, 2023 · Finding primitive roots is generally difficult. For , there are exactly ϕ(ϕ(761)) = ϕ(760) = ϕ(23 × 5 × 19) = 22 × 4 × 18 = 288 primitive roots, so you have about a 3/8 change of …

Jun 6, 2016 · Find all the primitive roots of 13 13 My attempt: Since that 13 13 is a prime I need to look for g g such that g13−1 ≡ 1 (mod 13) g 13 − 1 ≡ 1 (mod 13) There are ϕ(12) = 4 ϕ (12) = 4 …

Apr 4, 2019 · Perhaps I have misunderstood what you are trying to prove. Once you have one primitive F F you have them all by adding a constant. The fact that the integral of f f is 0 0 …

Dec 7, 2020 · Primitive recursion does allow the "next-step-provider" h to see both inputs and the previous value, but we don't need to use that information. In most natural examples I think we …

Feb 26, 2017 · Why does an holomorphic function have a primitive in a simply connected space? Also, it have a primitive only in a simply connected space?

Is this definition for primitive matrices correct? A square matrix P ⩾ 0 P ⩾ 0 is called primitive if there exists a power k k such that Pk> 0, P k> 0, that is, there exists a k k such that for all ij, i j, …