Abstract
This paper examines the question of whether a given pattern x,x+a 1,…,x+a m−1 of kth power residues of length m can be postponed indefinitely. This is the case when there exists a prime q, called a delay prime, which does not contain this pattern even if q itself is considered as a kth power residue. It is conjectured that if there exists no delay prime then there exists a finite limit Λ=Λ (k,m;a 1,…,a m−1 for which the corresponding pattern will occur before Λ in every sufficiently large prime of the form kn + 1.
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.
