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- What is a primitive polynomial? - Mathematics Stack Exchange
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 I'm unsure of what a primitive polynomial is, and why it is useful for these random number generators
- Finding a primitive root of a prime number
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
- elementary number theory - Find all primitive roots modulo $18 . . .
Find all primitive roots modulo $18 $ Ask Question Asked 5 years, 11 months ago Modified 5 years, 11 months ago
- Are all natural numbers (except 1 and 2) part of at least one primitive . . .
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 as the hypotenuse, but I haven't been able to prove that none exist
- What is a free group element that is not primitive?
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 example,
- Primitive of $x \mapsto e^ {\sqrt {x}}$ - Mathematics Stack Exchange
Primitive of $x \mapsto e^ {\sqrt {x}}$ Ask Question Asked 11 years ago Modified 11 years ago
- Finding a primitive element of a finite field
Finding a primitive element of a finite field Ask Question Asked 12 years, 3 months ago Modified 3 years, 6 months ago
- Basis of primitive nth Roots in a Cyclotomic Extension?
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 as the sum of all the primitive n-th roots of unity, so we have a linearly dependent relation over $\mathbb {Q}$ for all the primitive n-th roots, so they could not form a basis, see
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