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Second International Conference on Smarandache Type Notions In Mathematics and Quantum Physics
December 21-24, 2000
University of Craiova
Craiova, Romania

Organizers
Minh Perez (American Research Press, Rehoboth, Box 141, NM 87301, USA), Vasile Seleacu (University of Craiova, Department of Mathematics, Craiova, Romania)

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The general term of the prime number sequence and the Smarandache prime function
by
Sebastian Martin Ruiz
IES Salmedina

% include Title, Author, Address, E-mail, Resume, Keywords Title: The general term of the prime number sequence and the Smarandache prime function Author: Sebastian Martin Ruiz, Avda de Regla 43, Chipiona 11550 Spain. Smaranda@teleline.es Abstract: In this article a formula for the n-th prime is given using an expression from the prime function of Smarandache. This expression is based on a formula for the number of divisors of an integer number n .

The formula for the n-th prime is of the order (n log n)^3 , not being very suitable to calculate higher primes, however if can be of certain theorical interets.

References: [1] E. Burton, “Smarandache Prime and Coprime Functions” Http://www.gallup.unm.edu/~Smarandache/primfnct.txt [2] F. Smarandache, “Collected Papers”, Vol. II, 200p.. p.137, Kishinev University Press.

Date received: November 2, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caft-19.