The definition of “concatenation” in mathematics is, according to Wikipedia, “the joining of two numbers by their numerals. That is, the concatenation of 69 and 420 is 69420”. Though the method of concatenation is widely considered as a part of so called “recreational mathematics”, in fact this method can often lead to very “serious” results, and even more than that, to really amazing results. This is the purpose of this book: to show that this method, unfairly neglected, can be a powerful tool in number theory. In particular, as revealed by the title, I used the method of concatenation in this book to obtain possible infinite sequences of primes
Article dans revue scientifique avec comité de lecture.In 1967 the first set of 6 consecutive primes...
The distribution of prime numbers and related composite numbers derives from the intertwining of the...
We describe some of the machinery behind recent progress in establish-ing infinitely many arithmetic...
The purpose of this book is to show that the method of concatenation can be a powerful tool in numbe...
The purpose of this book is to show that the method of concatenation can be a powerful tool in numbe...
In a previous paper, “Fourteen Smarandache-Coman sequences of primes”, I defined the “SmarandacheCom...
In this paper I make the following conjecture: for any arithmetic progression a + b*k, where at leas...
This article provides a new way to determine the decrease in prime numbers, the reasons for the mess...
A finite ncreasing sequence {pn}, (n=1, 2, 3, ・・・, t) of prime numbers, (t〓3), is called an arithmet...
Here it is a long list of sequences, functions, unsolved problems, conjectures, theorems, relationsh...
We define a metasequence as a sequence constructed with the terms of other given sequence(s). In thi...
Abstract We study the properties of prime number sequences obtained using a well-defined equivalence...
We define a metasequence as a sequence constructed with the terms of other given sequence(s). In thi...
The fundamental theorem of arithmetic states that any composite natural integer can be expressed in ...
The distribution of prime numbers and related composite numbers derives from the intertwining of the...
Article dans revue scientifique avec comité de lecture.In 1967 the first set of 6 consecutive primes...
The distribution of prime numbers and related composite numbers derives from the intertwining of the...
We describe some of the machinery behind recent progress in establish-ing infinitely many arithmetic...
The purpose of this book is to show that the method of concatenation can be a powerful tool in numbe...
The purpose of this book is to show that the method of concatenation can be a powerful tool in numbe...
In a previous paper, “Fourteen Smarandache-Coman sequences of primes”, I defined the “SmarandacheCom...
In this paper I make the following conjecture: for any arithmetic progression a + b*k, where at leas...
This article provides a new way to determine the decrease in prime numbers, the reasons for the mess...
A finite ncreasing sequence {pn}, (n=1, 2, 3, ・・・, t) of prime numbers, (t〓3), is called an arithmet...
Here it is a long list of sequences, functions, unsolved problems, conjectures, theorems, relationsh...
We define a metasequence as a sequence constructed with the terms of other given sequence(s). In thi...
Abstract We study the properties of prime number sequences obtained using a well-defined equivalence...
We define a metasequence as a sequence constructed with the terms of other given sequence(s). In thi...
The fundamental theorem of arithmetic states that any composite natural integer can be expressed in ...
The distribution of prime numbers and related composite numbers derives from the intertwining of the...
Article dans revue scientifique avec comité de lecture.In 1967 the first set of 6 consecutive primes...
The distribution of prime numbers and related composite numbers derives from the intertwining of the...
We describe some of the machinery behind recent progress in establish-ing infinitely many arithmetic...