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  2. Wilson's theorem - Wikipedia

    en.wikipedia.org/wiki/Wilson's_theorem

    In algebra and number theory, Wilson's theorem states that a natural number n > 1 is a prime number if and only if the product of all the positive integers less than n is one less than a multiple of n.

  3. Table of congruences - Wikipedia

    en.wikipedia.org/wiki/Table_of_congruences

    Clement's congruence-based theorem characterizes the twin primes pairs of the form (, +) through the following conditions: [()! +] ((+)), +P. A. Clement's original 1949 paper [2] provides a proof of this interesting elementary number theoretic criteria for twin primality based on Wilson's theorem.

  4. List of number theory topics - Wikipedia

    en.wikipedia.org/wiki/List_of_number_theory_topics

    Linear congruence theorem; Method of successive substitution; Chinese remainder theorem; Fermat's little theorem. Proofs of Fermat's little theorem; Fermat quotient; Euler's totient function. Noncototient; Nontotient; Euler's theorem; Wilson's theorem; Primitive root modulo n. Multiplicative order; Discrete logarithm; Quadratic residue. Euler's ...

  5. Wilson quotient - Wikipedia

    en.wikipedia.org/wiki/Wilson_quotient

    The Wilson quotient W(p) is defined as: = ()! + If p is a prime number, the quotient is an integer by Wilson's theorem; moreover, if p is composite, the quotient is not an integer. If p divides W(p), it is called a Wilson prime. The integer values of W(p) are (sequence A007619 in the OEIS): W(2) = 1

  6. Girl accused in Wisconsin school deaths joins short list of ...

    www.aol.com/girl-accused-wisconsin-school-deaths...

    The fatal shooting of a student and a teacher at a private Christian school in Wisconsin on Monday was laden with shock, even for a nation dulled by the horror of repeated school massacres.

  7. Wilson prime - Wikipedia

    en.wikipedia.org/wiki/Wilson_prime

    In number theory, a Wilson prime is a prime number such that divides ()! +, where "!" denotes the factorial function; compare this with Wilson's theorem, which states that every prime divides ()! +. Both are named for 18th-century English mathematician John Wilson ; in 1770, Edward Waring credited the theorem to Wilson, [ 1 ] although it had ...

  8. Dogs can use buttons to talk and express their specific ... - AOL

    www.aol.com/dogs-buttons-talk-express-specific...

    The buttons have words on them, and each has been pre-recorded to say the word when they’re pressed – so your dog might be able to indicate that they want some of the best dog treats, for example.

  9. Here’s What Each Sign Can Expect This January, Per An ... - AOL

    www.aol.com/sign-expect-january-per-astrologer...

    Make a date to review those accounts and spreadsheets this month (maybe even with a fun cocktail or treat!). You’ll be happy you did it, and end up feeling aligned to hit your financial goals.

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