Abstract
For any values of M and N, the value of P you obtain from the above formula will be a prime number. Moreover, every prime number will be a value of P for some values of M and N. Some analysis would show that the formula is a consequence of Wilson's theorem: (p 1)! = p 1(mod p) iff p is a prime. (For three different proofs of this last theorem, see [1], [4], and [5].) In this note we will provide a generalization of Wilson's theorem to the domain of irreducible polynomials. From this generalized theorem, a formula generating all irreducible polynomials in Z7p [x] will be derived.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
