Jan 6, 2019 · While antiderivative, primitive, and indefinite integral are synonymous in the United States, other languages seem not to have any equivalent terms for antiderivative. As others have pointed out …

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. …

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

I thought $\varphi (12)$ counts the number of coprimes to $12$.. Why does this now suddenly tell us the number of primitive roots modulo $13$? How have these powers been plucked out of thin air? I …

Jul 31, 2023 · PrimitiveIdentification requires the group to be a primitive group of permutations, not just a group that can be primitive in some action. You will need to convert to a permutation group, most …

Jun 6, 2016 · Primes have not just one primitive root, but many. So you find the first primitive root by taking any number, calculating its powers until the result is 1, and if p = 13 you must have 12 …

Aug 10, 2015 · A polynomial with integer coefficients is primitive if its content (the GCD of its coefficients) is 1. You can simply enumerate the primitive monic quadratic polynomials (depicted as …

Jun 18, 2015 · Moreover the other primitive elements are obtained as powers of $2$ that are not the ones relevant to checking that $2$ is primitive, so you'd have to separately compute those powers …

15 There is another example of a non-primitive-recursive but total computable function that explains better what the restricted definition of primitive recursion entails. Each primitive recursive function is …