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

Author

Listed:
  • Tatiana-Corina Dosescu

    (Dimitrie Cantemir Christian University)

  • Tiberiu Dosescu

    (IBM Master Student, University of Groningen, Netherlands)

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.

Suggested Citation

  • Tatiana-Corina Dosescu & Tiberiu Dosescu, 2020. "An Algorithm for Calculating Smarandache's Function and Which Using Legendre's Formula," Social-Economic Debates, Association for Entreprenorial Spirit Promotion, vol. 9(2), pages 1-10, August.
    • Handle: RePEc:sdb:social:v:9:y:2020:i:2:p:1-10
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    More about this item

    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.;
    All these keywords.

    JEL classification:

    • C00 - Mathematical and Quantitative Methods - - General - - - General
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics

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