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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

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