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- Find all the primitive roots of - Mathematics Stack Exchange
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 classes modulo 12 12 how can I find the classes?
- Practical method of calculating primitive roots modulo a prime
As others have mentioned, we don't know efficient methods for finding generators for (Z pZ)∗ (ℤ p ℤ) ∗ without knowing the factorization of p − 1 p 1 However, you can efficiently generate a random factored number n n, then test if n + 1 n + 1 is prime, and then compute primitive roots modulo n + 1 n + 1 See Victor Shoup -- A Computational Introduction to Number Theory and Algebra
- What are primitive roots modulo n? - Mathematics Stack Exchange
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 multiplicative order p − 1 p 1 The main thing I'm confused about is what "multiplicative order" is Also, for the notation g (mod p) g (mod p), is it saying g g times mod p mod p or does it have
- What is a primitive root? - Mathematics Stack Exchange
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 cryptography takes advantage of this difficulty
- Understanding the definition of primitive recursion.
Primitive recursion does allow the "next-step-provider" h 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 don't in fact need that Finally, it may also help to go in the opposite direction: given a g g and h h, try to compute the first few values of the resulting f f
- Intuition behind primitive sublattices - Mathematics Stack Exchange
Intuition behind primitive sublattices Ask Question Asked 3 years, 1 month ago Modified 2 years, 6 months ago
- Primitive binary necklaces - Mathematics Stack Exchange
The problem solution of counting the number of (primitive) necklaces (Lyndon words) is very well known But what about results giving sufficient conditions for a given necklace be primitive? For ex
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