Abstract
This paper generalizes and improves the results of Margenstren, by proving that the number of t-practical numbers��n,n≤x,(t≥1) which is defined by N(x) has a lower bound in terms of . This bound is more sharper than Mangenstern bound when Further general results are given for the existence of -practical numbers, by proving that the interval (x.x +2(x/t)^½, t≥1 contains a t-practical for all x≥t/3
Keywords
Bound for the t-practical numbers, Existence of t-practical numbers in an interval, Practical numbers, t-practical numbers.
Article Type
Article
How to Cite this Article
Baddai, Saad A.
(2020)
"A Generalization of t-Practical Numbers,"
Baghdad Science Journal: Vol. 17:
Iss.
4, Article 13.
DOI: https://doi.org/10.21123/bsj.2020.17.4.1250