Add to ORKGWe find an infinite family of positive integers a such that concatenating a and a − 1 in base 10 (from left to right) results in a number that is a perfect square and estimates for such concatenations.F. L. was supported in part by grant CPRR160325161141 and an A-rated scientist award both from the NRF of South Africa and by grant no. 17-02804S of the Czech Granting Agency
This is a consequence of our earlier paper tit led ‘Generalizat ion of concatenation numbers”. In th...
Concatenation of two square numbers may be familiar to number theorists. In this paper, we addressed...
In 1855 H. J. S. Smith proved Fermat's two-square using the notion of palindromic continuants. In hi...
AbstractIn this paper, we construct, given an integer r≥5, an infinite family of r non-overlapping b...
Let n be positive integer, and let sen) denote the n-th Smarandache concatenated squre number. In th...
For a long time, people have been baffled by trying to solve the “Perfect Square Problem . From it, ...
This paper mainly concerns itself with squares expressible as sum of consecutive squares. Let | be t...
We show that there is no square other than 122 and 7202 such that it can be written as a product of ...
The Narayana numbers [endif]--> form a triangular array of positive integers, introduced in 1915-191...
We prove that the product of first n consecutive values of the polynomial P(k) = 4k(4) + 1 is a perf...
Abstract. A square is the concatenation of a nonempty word with itself. A word has period p if its l...
This work is based on an article which provides a construction of the first infinite word over a fin...
The new discovery of squaring number can be use in getting a square of any number be it positive int...
In this project, we shall characterize all the three term arithmetic progressions, (examples would b...
AbstractErdős and Sárkőzy proposed the problem of determining the maximal density attainable by a se...
This is a consequence of our earlier paper tit led ‘Generalizat ion of concatenation numbers”. In th...
Concatenation of two square numbers may be familiar to number theorists. In this paper, we addressed...
In 1855 H. J. S. Smith proved Fermat's two-square using the notion of palindromic continuants. In hi...
AbstractIn this paper, we construct, given an integer r≥5, an infinite family of r non-overlapping b...
Let n be positive integer, and let sen) denote the n-th Smarandache concatenated squre number. In th...
For a long time, people have been baffled by trying to solve the “Perfect Square Problem . From it, ...
This paper mainly concerns itself with squares expressible as sum of consecutive squares. Let | be t...
We show that there is no square other than 122 and 7202 such that it can be written as a product of ...
The Narayana numbers [endif]--> form a triangular array of positive integers, introduced in 1915-191...
We prove that the product of first n consecutive values of the polynomial P(k) = 4k(4) + 1 is a perf...
Abstract. A square is the concatenation of a nonempty word with itself. A word has period p if its l...
This work is based on an article which provides a construction of the first infinite word over a fin...
The new discovery of squaring number can be use in getting a square of any number be it positive int...
In this project, we shall characterize all the three term arithmetic progressions, (examples would b...
AbstractErdős and Sárkőzy proposed the problem of determining the maximal density attainable by a se...
This is a consequence of our earlier paper tit led ‘Generalizat ion of concatenation numbers”. In th...
Concatenation of two square numbers may be familiar to number theorists. In this paper, we addressed...
In 1855 H. J. S. Smith proved Fermat's two-square using the notion of palindromic continuants. In hi...