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 …

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 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

how to find all primitive triples when one value of (a, b, c) (a, b, c) is given? For example in this case a = 45 a = 45. What is the procedure to find the primitive triples ? Conditions for primitive …

Sep 30, 2018 · 5 I wish to prove the following: If p p is an odd prime and g g is a primitive root modulo p p, then either g g or g + p g + p is a primitive root modulo every power of p p.

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 …

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 …

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 …

Oct 13, 2020 · For example, if $\zeta$ is a primitive sixth root of unity, then so is $\zeta^5=\zeta^ {-1}$. Of course $\zeta^3=-1$ is not a primitive sixth root of unity; it is a primitive second root …

Here's a proof showing why Ackermann's function is not primitive recursive. The key to showing that A is not primitive recursive, is to find a properties shared by all primitive recursive …