The purpose of this book is to show that the method of concatenation can be a powerful tool in number theory and, in particular, in obtaining possible infinite sequences of primes. Part One of this book, “Primes in Smarandache concatenated sequences and Smarandache-Coman sequences of primes” , contains 12 papers on various sequences of primes that are distinguished among the terms of the well known Smarandache concatenated sequences. The sequences presented in this part are related to concatenation in three different ways: the sequence is obtained by the method of concatenation but the operation applied on its terms is some other arithmetical operation; the sequence is not obtained by concatenation but the operation applied on its terms is ...
In this paper I make the following conjecture: for any arithmetic progression a + b*k, where at leas...
In this paper a problem posed by Iacobescu concerning the number of primes in the Smarandache Unary ...
Abstract The purpose of this note is to report on the discovery of some new prime numbers that were ...
The purpose of this book is to show that the method of concatenation can be a powerful tool in numbe...
The definition of “concatenation” in mathematics is, according to Wikipedia, “the joining of two num...
In a previous paper, “Fourteen Smarandache-Coman sequences of primes”, I defined the “SmarandacheCom...
This is a study in the areas of mathematics under the Smarandache Notions umbrella. F. Smarandache h...
This book brings together fifty-two papers regarding primes and Fermat pseudoprimes, submitted by th...
In this article, we present the resuhs of investigation of Smarandache Concatenate Sequence formed f...
In this article, we present the resuhs of investigation of Smarandache Concatenate Sequence formed f...
We define a metasequence as a sequence constructed with the terms of other given sequence(s). In thi...
We define a metasequence as a sequence constructed with the terms of other given sequence(s). In thi...
In this paper four Smarandache product sequences have been studied: Smarandache Square product seque...
In this paper I define a Smarandache reconcatenated sequence Sr(n) as “the sequence obtained from th...
This paper gives some properties of the Smarandache prime product sequence, (Pn) , definded by where...
In this paper I make the following conjecture: for any arithmetic progression a + b*k, where at leas...
In this paper a problem posed by Iacobescu concerning the number of primes in the Smarandache Unary ...
Abstract The purpose of this note is to report on the discovery of some new prime numbers that were ...
The purpose of this book is to show that the method of concatenation can be a powerful tool in numbe...
The definition of “concatenation” in mathematics is, according to Wikipedia, “the joining of two num...
In a previous paper, “Fourteen Smarandache-Coman sequences of primes”, I defined the “SmarandacheCom...
This is a study in the areas of mathematics under the Smarandache Notions umbrella. F. Smarandache h...
This book brings together fifty-two papers regarding primes and Fermat pseudoprimes, submitted by th...
In this article, we present the resuhs of investigation of Smarandache Concatenate Sequence formed f...
In this article, we present the resuhs of investigation of Smarandache Concatenate Sequence formed f...
We define a metasequence as a sequence constructed with the terms of other given sequence(s). In thi...
We define a metasequence as a sequence constructed with the terms of other given sequence(s). In thi...
In this paper four Smarandache product sequences have been studied: Smarandache Square product seque...
In this paper I define a Smarandache reconcatenated sequence Sr(n) as “the sequence obtained from th...
This paper gives some properties of the Smarandache prime product sequence, (Pn) , definded by where...
In this paper I make the following conjecture: for any arithmetic progression a + b*k, where at leas...
In this paper a problem posed by Iacobescu concerning the number of primes in the Smarandache Unary ...
Abstract The purpose of this note is to report on the discovery of some new prime numbers that were ...