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  1. Finding a primitive root of a prime 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

  2. calculus - Why is "antiderivative" also known as "primitive ...

    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 …

  3. Prove that , any primitive root $r$ of $p^n$ is also a primitive root ...

    Suppose that $r$ is not a primitive root modulo $p$, so there is some $b<p-1$ such that $r^b\equiv 1\bmod p$. In other words, there is some integer $t$ such that $r^b=1+pt$.

  4. Primitive Root mod 26 and 25? - Mathematics Stack Exchange

    Dec 18, 2014 · I would live to calculate the primitive roots modulo 26 and modulo 25. My approach: 26 is not a prime number. But 26=2*13 are Prime numbers. So I calculated the …

  5. Primitive Central Idempotent - Mathematics Stack Exchange

    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 …

  6. Why 4 is not a primitive root modulo p for any prime p?

    Apr 15, 2013 · I wonder why 4 is not a primitive root for any prime p ? I've been trying to find an answer with no success so far. Any suggestion would be very helpful, thanks in advance !

  7. computational mathematics - Primitive Pythagorean triples and ...

    Mar 7, 2020 · Primitive Pythagorean triples and connection with prime numbers Ask Question Asked 5 years, 7 months ago Modified 4 years, 1 month ago

  8. Artin's conjecture on primitive roots for perfect powers

    Mar 30, 2024 · Artin's conjecture on primitive roots for perfect powers Ask Question Asked 1 year, 6 months ago Modified 1 year, 6 months ago

  9. number theory - Primitive Pythagorean triple divisible by 3 ...

    Prove that for any primitive Pythagorean triple (a, b, c), exactly one of a and b must be a multiple of 3, and c cannot be a multiple of 3. My attempt: Let a and b be relatively prime positive in...

  10. There is a primitive $m^ {th}$ root of unity in $\mathbb {Q}_p ...

    $ (\Rightarrow) $ Let $a$ be a primitive $m^ {th}$ root of unity in $\mathbb {Q}_p$. That means that $m$ is the smallest natural number such that $$a^m \equiv 1 \pmod p$$ (correct?)