Add to ORKGA natural number of the form mn where m is a positive integer and n ≥ 2 is called a perfect power. Unsolved problems concerning the set of perfect powers abound throughout much of number theory. The most famous of these is known as the Catalan conjecture, which states that the only perfect powers which differ by unity are the integers 8 and 9. It is o
In this talk, I will survey a variety of arithmetic problems related to the sequence of differences ...
We consider positive integers whose sum of divisors is a perfect power. This problem had already cau...
Abstract The main purpose of this paper is to study the concept of Smarandache n-expressions (but wi...
Integer division and perfect powers play a central role in numerous mathematical results, especially...
Abstract. In this paper we prove that the Smarandache pennutation sequience does not contain perfect...
In 1842 the Belgian mathematician Eugène Charles Catalan asked whether 8 and 9 are the only consecut...
A perfect number is a positive integer n such that n equals the sum of all positive integer divisors...
A positive integer n is a perfect power if there exist integers x and k, both at least 2, such that ...
Dedicated to Professor R. Tijdeman on the occasion of his sixtieth birthday Abstract. We show that t...
Let (u(n))(n >= 0) be the binary recurrence sequence of integers given by u(0) = 0, u(1) = 1 and u(n...
Copyright c © 2013 Rafael Jakimczuk. This is an open access article distributed under the Creative C...
In a paper that is scheduled to be published in volume 31 (3) of Journal of Recreational Mathematics...
Smarandache's function may be defined as follows: S(n) = the smallest positive integer such that S(n...
AbstractTextFinding a function which generates a sequence via iteration whose values at one or many ...
Catalan’s conjecture states that the equation xp−yq=1 admits the unique solution 32−23=1 in integers...
In this talk, I will survey a variety of arithmetic problems related to the sequence of differences ...
We consider positive integers whose sum of divisors is a perfect power. This problem had already cau...
Abstract The main purpose of this paper is to study the concept of Smarandache n-expressions (but wi...
Integer division and perfect powers play a central role in numerous mathematical results, especially...
Abstract. In this paper we prove that the Smarandache pennutation sequience does not contain perfect...
In 1842 the Belgian mathematician Eugène Charles Catalan asked whether 8 and 9 are the only consecut...
A perfect number is a positive integer n such that n equals the sum of all positive integer divisors...
A positive integer n is a perfect power if there exist integers x and k, both at least 2, such that ...
Dedicated to Professor R. Tijdeman on the occasion of his sixtieth birthday Abstract. We show that t...
Let (u(n))(n >= 0) be the binary recurrence sequence of integers given by u(0) = 0, u(1) = 1 and u(n...
Copyright c © 2013 Rafael Jakimczuk. This is an open access article distributed under the Creative C...
In a paper that is scheduled to be published in volume 31 (3) of Journal of Recreational Mathematics...
Smarandache's function may be defined as follows: S(n) = the smallest positive integer such that S(n...
AbstractTextFinding a function which generates a sequence via iteration whose values at one or many ...
Catalan’s conjecture states that the equation xp−yq=1 admits the unique solution 32−23=1 in integers...
In this talk, I will survey a variety of arithmetic problems related to the sequence of differences ...
We consider positive integers whose sum of divisors is a perfect power. This problem had already cau...
Abstract The main purpose of this paper is to study the concept of Smarandache n-expressions (but wi...