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SOME NOTIONS AND QUESTIONS IN NUMBER THEORY

IP.com Disclosure Number: IPCOM000128800D
Original Publication Date: 1998-Jan-01
Included in the Prior Art Database: 2005-Sep-19
Document File: 13 page(s) / 25K

Publishing Venue

Software Patent Institute

Related People

C. DUMITRESCU: AUTHOR [+4]

Abstract

The following notions, definitions, unsolved problems, questions, theorems, corollaries, formulae, conjectures, examples, mathematical criteria, etc. ( on integer sequences, numbers, quotients, residues, exponents, sieves, pseudo-primes/squares/cubes/factorials, almost primes, mobile periodicals, functions, tables, prime/square/factorial bases, etc. ) have been extracted from the Archives of American Mathematics (University of Texas at Austin), Arizona State University (Tempe): "The Florentin Smarandache papers" special collection, University of Craiova Library, and Arhivele Statului (Filiala Valcea).

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THIS DOCUMENT IS AN APPROXIMATE REPRESENTATION OF THE ORIGINAL.

Copyright American Research Press, 1998 All Rights Reserved

SOME NOTIONS AND QUESTIONS IN NUMBER THEORY

C. DUMITRESCU V. SELEACU

editors Department of Mathematics University of Craiova

(fourth edition)

American Research Press

Introduction

The following notions, definitions, unsolved problems, questions, theorems, corollaries, formulae, conjectures, examples, mathematical criteria, etc. ( on integer sequences, numbers, quotients, residues, exponents, sieves, pseudo-primes/squares/cubes/factorials, almost primes, mobile periodicals, functions, tables, prime/square/factorial bases, etc. ) have been extracted from the Archives of American Mathematics (University of Texas at Austin), Arizona State University (Tempe): "The Florentin Smarandache papers" special collection, University of Craiova Library, and Arhivele Statului (Filiala Valcea).

Any comments, solutions, generalizations, cross-reference problems, applications, etc. concerning this material are welcome and if correct they will be published on our journal.

Articles, notes, solved or unsolved proposed problems, etc. should be sent on the following address: Dr. L. M. Perez, Editor American Research Press Rehoboth, Box 141 NM 87322, USA E-mail: ARP@cia-g.com URL: http://www.gallup.unm.edu/~smarandache/

All contributions will be published, and the authors will get free copies of the Smarandache Notions Journal with their published paper.

The journal is worldwide distributed: in electronic version and hard copy.

It reaches more than 5,000 readers around the world.

We prefer electronic papers (by e-mail, or diskets sent by regular mail), but hard copies (camera ready) are also welcome.

We prefer files in Microsoft Word 7.0a or lower for Windows 95, or Word Perfect 6.1 or lower, or text files.

The best three papers will be awarded with $300.00 each.

The editors are also looking for long lenght manuscripts dealing with the Smarandache type notions: at least 100 pages, camera ready. The manuscripts will be published under the form of a book, and the authors will receive 100 free copies as copyright.

Any letter will be answered.

C. DUMITRESCU and V. SELEACU Page 1 Jan 01, 1998

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SOME NOTIONS AND QUESTIONS IN NUMBER THEORY

The Editors

1)Smarandache consecutive sequence:

1,12,123,1234,12345,123456,1234567,12345678,123456789,12345678910, 1234567891011,123456789101112,12345678910111213,...

Florentin Smarandache asked how many primes are there among these numbers? In a general form, the Smarandache Consecutive Sequence is considered in an arbitrary numeration base B.

References: Student Conference, University of Craiova, Department of Mathematics, April 1979, "Some problems in number theory" by Florentin Smarandache.

Arizona State University, Hayden Library, "The Florentin Smarandache papers" special collection, Tempe, AZ 85287-1006, USA, phone: (602)965-6515 (Carol Moore librarian), email: ICCLM@ASUACAD.BITNET . "Th...