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

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. …

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 …

In general, the primitive n n th roots of unity in the n n th cyclotomic field form a normal basis over Q Q if and only if n n is squarefree. A little bit of research didn't turn up any results, except apparently the …

Jul 14, 2014 · 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.

Nov 30, 2014 · 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.

Oct 18, 2020 · Every non-primitive pythagorean triple is a multiple of a primitive pythogorean triple. So, if we know the primitive ones, we basically know them all. a2 +b2 =c2 − k a 2 + b 2 = c 2 k is …

Sep 29, 2020 · The definition, given in the text, of primitive central idempotent element e e is if e e is central and has no proper decomposition as a sum of orthogonal central idempotent elements.

Oct 9, 2023 · We know the sum of all primitive n-th roots of unity is the Möbius function, as shown in this question.