An Algorithm for Calculating Smarandache's Function and Which Using Legendre's Formula

Tatiana-Corina Dosescu and Tiberiu Dosescu
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Tatiana-Corina Dosescu: Dimitrie Cantemir Christian University
Tiberiu Dosescu: IBM Master Student, University of Groningen, Netherlands

Social-Economic Debates, 2020, vol. 9, issue 2, 1-10

Abstract: The paper presents a calculation algorithm for the values of the function S, defined by Fl. Smarandache [6], [1], [4], [5], an algorithm that uses the writing of numbers in base ten and it is based on Legendre's formula and some theoretical results. It differs from the one presented in [8], which avoids factorization, and from the one presented in [6], which requires writing on a generalized basis. Then a characterization of a prime number is given. Finally, a numerical application is presented.

Keywords: Divisibility of numbers; writing a number in a base; generalized base; the integer part of a number; prime number; compound number; partial function; algorithm. (search for similar items in EconPapers)
JEL-codes: C00 C02 (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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