Abstract
Congruences for prime numbers p have always been of great interest. Examples include Fermat's Little Theorem (nP _ n (mod p)) or Wilson's theorem ((p-1)!--1 (modp)). In the following we consider the congruence relation modulo p extended to the ring of rational numbers with denominators not divisible by p. For such fractions m/n-r/s (mod p) if and only if ms-nr (mod p), and the residue class of m/n is the residue class of m times the inverse of the residue class of n in Zp. The purpose of this note is to state and prove the following result. Theorem. Let p be an odd przme. Then
Sign-in/Register to access full text options 
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.
