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 …

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 …

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

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 $m\ge0$

Dec 14, 2021 · Hint: only the odd one can be a primitive root, then count the number of relative primes modulo $2p^k$.

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 …

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" …

Jul 23, 2018 · 6 So I encountered this proof on a Number Theory book, I will link the pdf at the end of the post (proof at page 96), it says: " Every prime has a primitive root, proof: Let p be a prime and let m …

Feb 12, 2018 · Let $G$ be a group acting transitively on a set $X$. A nonempty subset $B$ of $X$ is called a block for $G$ if for each $g\\in G$ either $gB=B$ or $gB\\cap B ...