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vawntie

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Definitions of vawntie in various dictionaries:

adj - given to boasting

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Vawntie might refer to
In number theory, Vantieghems theorem is a primality criterion. It states that a natural number n is prime if and only if* * * * * ∏ * * 1 * ≤ * k * ≤ * n * − * 1 * * * * ( * * * 2 * * k * * * − * 1 * * ) * * ≡ * n * * mod * * * * ( * * * 2 * * n * * * − * 1 * * ) * * . * * * {\displaystyle \prod _{1\leq k\leq n-1}\left(2^{k}-1\right)\equiv n\mod \left(2^{n}-1\right).} * Similarly, n is prime, if and only if the following congruence for polynomials in X holds: * * * * * * ∏ * * 1 * ≤ * k * ≤ * n * − * 1 * * * * ( * * * X * * k * * * − * 1 * * ) * * ≡ * n * − * * ( * * * X * * n * * * − * 1 * * ) * * * / * * * ( * * X * − * 1 * * ) * * * mod * * * * ( * * * X * * n * * * − * 1 * * ) * * * * {\displaystyle \prod _{1\leq k\leq n-1}\left(X^{k}-1\right)\equiv n-\left(X^{n}-1\right)/\left(X-1\right)\mod \left(X^{n}-1\right)} * or: * * * * * * ∏ * * 1 * ≤ * k * ≤ * n * − * 1 * * * * ( * * * X * * k * * * − * 1 * * ) * * ≡ * n * * mod * * * * ( * * * X * * n * * * − * 1 * * ) * * * / * * * ( * * X * − * 1 * * ) * * . * * * {\displaystyle \prod _{1\leq k\leq n-1}\left(X^{k}-1\right)\equiv n\mod \left(X^{n}-1\right)/\left(X-1\right).}

Vawntie might refer to

In number theory, Vantieghems theorem is a primality criterion. It states that a natural number n is prime if and only if*
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* {\displaystyle \prod _{1\leq k\leq n-1}\left(2^{k}-1\right)\equiv n\mod \left(2^{n}-1\right).}
* Similarly, n is prime, if and only if the following congruence for polynomials in X holds:
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* {\displaystyle \prod _{1\leq k\leq n-1}\left(X^{k}-1\right)\equiv n-\left(X^{n}-1\right)/\left(X-1\right)\mod \left(X^{n}-1\right)}
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* {\displaystyle \prod _{1\leq k\leq n-1}\left(X^{k}-1\right)\equiv n\mod \left(X^{n}-1\right)/\left(X-1\right).}

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