Mainly Natural Numbers

A Few Elementary Studies on Smarandache Sequences and Other Number Problems

96 pages, parution le 01/01/2003

Ajouter à une liste

Indisponible

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.

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

Empirical and Theroretical Numbers Studies

Découvrir tous les livres de Henry Ibstedt

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

Replier

	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