Within the conventional range of $a \le b \le c \le 200$ and $d \le 1000000$, no primitive positive integer solution has been found for any of these 11 values of $k$, and constructing one using elliptic curve …

Jul 31, 2010 · 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 …

The important fact is that the only numbers $n$ that have primitive roots modulo $n$ are of the form $2^\varepsilon p^m$, where $\varepsilon$ is either $0$ or $1$, $p$ is an odd prime, and $m\ge0$

May 16, 2023 · 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

Nov 5, 2025 · Hence, all odd numbers are included in at least one primitive triplet. Except 1, because I'm not allowing 0 to be a term in a triplet. I can't think of any primitive triplets that have an even number …

Apr 10, 2015 · The "grows faster" argument accomplishes this. If the Ackermann function grows faster than any primitive recursive function, it doesn't equal any of them. In order to make the "grows faster" …

May 6, 2015 · A primitive element of a free group is an element of some basis of the free group. I have seen some recent papers on algorithmic problems concerning primitive elements of free groups, for …

Another method to show the "only if " direction is to use the fact that the trace of $\zeta_n$ is equal to zero if n is not square free, while by definition, the trace of $\zeta_n$ in this case is exactly the same …

Aug 21, 2021 · These types of questions are repeated here zillionth time, but I am yet to find an useful process (hit and trial or any other process) to find primitive root modulo.

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