Add to ORKGConcatenation of two square numbers may be familiar to number theorists. In this paper, we addressed such set of concatenation pairs from Pell’s equations and then extended to even and odd digit cases. We obtained the first minimal concatenation pair and proved mathematically
AbstractWe prove by the theory of algebraic numbers a result (Theorem 3) which, together with our ea...
Abstract. In the eighteenth century, both square numbers and triangular num-bers were investigated b...
In this article, we show that every pair of large even integers satisfying some necessary conditions...
This is a consequence of our earlier paper tit led ‘Generalizat ion of concatenation numbers”. In th...
The definition of “concatenation” in mathematics is, according to Wikipedia, “the joining of two num...
Abstract. In this paper we completely determinate all the Smarandache friendly natural number pairs....
summary:Let $a$ and $b\in \mathbb {N}$. Denote by $R_{a,b}$ the set of all integers $n>1$ whose cano...
AbstractWe prove a general minimal pair theorem which yields as corollaries many results about minim...
We find an infinite family of positive integers a such that concatenating a and a − 1 in base 10 (fr...
This paper investigates several problems dealing with the existential theory of concatenation. In ch...
The purpose of this book is to show that the method of concatenation can be a powerful tool in numbe...
We derived an asymptotic formula for the number of pairs of integers which are mutually square. Ear...
Abstract: We define a sequence of squarefree positive integers which arise naturally in the context ...
AbstractThe study of the redundancy of non-integer base numeration systems involves several fields o...
AbstractThe following problem was posed by C.A. Nicol: given any finite sequence of positive integer...
AbstractWe prove by the theory of algebraic numbers a result (Theorem 3) which, together with our ea...
Abstract. In the eighteenth century, both square numbers and triangular num-bers were investigated b...
In this article, we show that every pair of large even integers satisfying some necessary conditions...
This is a consequence of our earlier paper tit led ‘Generalizat ion of concatenation numbers”. In th...
The definition of “concatenation” in mathematics is, according to Wikipedia, “the joining of two num...
Abstract. In this paper we completely determinate all the Smarandache friendly natural number pairs....
summary:Let $a$ and $b\in \mathbb {N}$. Denote by $R_{a,b}$ the set of all integers $n>1$ whose cano...
AbstractWe prove a general minimal pair theorem which yields as corollaries many results about minim...
We find an infinite family of positive integers a such that concatenating a and a − 1 in base 10 (fr...
This paper investigates several problems dealing with the existential theory of concatenation. In ch...
The purpose of this book is to show that the method of concatenation can be a powerful tool in numbe...
We derived an asymptotic formula for the number of pairs of integers which are mutually square. Ear...
Abstract: We define a sequence of squarefree positive integers which arise naturally in the context ...
AbstractThe study of the redundancy of non-integer base numeration systems involves several fields o...
AbstractThe following problem was posed by C.A. Nicol: given any finite sequence of positive integer...
AbstractWe prove by the theory of algebraic numbers a result (Theorem 3) which, together with our ea...
Abstract. In the eighteenth century, both square numbers and triangular num-bers were investigated b...
In this article, we show that every pair of large even integers satisfying some necessary conditions...