Wilson quotient

id: wilson-quotient-283-10243656
title: Wilson quotient
text: 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): It is known that where B k is the k-th Bernoulli number. Note that the first relation comes from the second one by subtraction, after substituting t = 1 and t = 2 .
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Wilson_quotient
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date modified: 2022-11-18T07:55:36Z
main entity: {"identifier":"Q3894437","url":"https://www.wikidata.org/entity/Q3894437"}
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integrity: 13

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