arXiv Analytics

Sign in

arXiv:1512.08382 [math.NT]AbstractReferencesReviewsResources

The Least Prime Number in a Beatty Sequence

Jörn Steuding, Marc Technau

Published 2015-12-28Version 1

We prove an upper bound for the least prime in an irrational Beatty sequence. This result may be compared with Linnik's theorem on the least prime in an arithmetic progression.

Related articles: Most relevant | Search more
arXiv:1104.2542 [math.NT] (Published 2011-04-13)
The influence of the first term of an arithmetic progression
arXiv:1301.5029 [math.NT] (Published 2013-01-21)
Markoff-Rosenberger triples in arithmetic progression
arXiv:2005.10396 [math.NT] (Published 2020-05-20)
Zeckendorf's Theorem Using Indices in an Arithmetic Progression