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Mainly Natural Numbers

Mainly Natural Numbers

A Few Elementary Studies on Smarandache Sequences and Other Number Problems

Henry Ibstedt

96 pages, parution le 01/01/2003

Résumé

The author treats various topics in ten chapters which can be read independently:

  • Which is the smallest integer that can be expressed as a sum of consecutive integers in a given number of ways?
  • Alternating iterations of the Smarandache function and the Euler phi-function respectively the sum of divisors function. Some light is thrown on loops and invariants resulting from these iterations. An important question is resolved with the amazing involvement of the famous Fermat numbers.
  • A particularly interesting subject is the Smarandache partial perfect additive sequence, it has a simple definition and a strange behaviour.
  • Smarandache general continued fractions are treated in great detail and proof is given for the convergence under specified conditions.
  • Smarandache k-k additive relationships as well as subtractive relationships are treated with some observations on the occurrence of prime twins.
  • A substantial part is devoted to concatenation and deconcatenation problems. Some divisibilty properties of very large numbers is studied. In particular some questions raised on the Smarandache deconstructive sequence are resolved.

L'auteur - Henry Ibstedt

Dr. Henry Ibstedt was born in Sweden. He wrote three books on numbers and found interesting properties using computer programs.

Autres livres de Henry Ibstedt

Sommaire

  • Preface
  • An Integer as a Sum of Consecutive Integers
  • Alternating Iterations of the Euler?
  • Function and the Pseudo-Smarandache Function
  • Alternating Iterations of the Sum of Divisors Function and the Pseudo-Smarandache Function
  • Some Sequences of Large Integers
  • The Smarandache Partial Perfect Additive Sequence
  • Smarandache Continued Fractions
  • Smarandache k-k additive relationships
  • Smarandache 2-2 subtractive relationships
  • Concatenations
  • On a Deconcatenation Problem
Voir tout
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Caractéristiques techniques

  PAPIER
Éditeur(s) Bookman Publishing and Marketing
Auteur(s) Henry Ibstedt
Parution 01/01/2003
Nb. de pages 96
Format 15,5 x 23
Couverture Broché
Poids 100g
Intérieur Noir et Blanc
EAN13 9781932301946
ISBN13 978-1-9323-0194-6

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