Add to ORKGFor a nonzero integer n, a set of m distinct positive integers {a1, ... , am} is called a D(n)-m-tuple if aiaj+n is a perfect square for each i, j with 1 ≤ i < j ≤ m. Let k be an integer with |k| prime. Then we show that the D(4k)-triple {1, 4k(k-1), 4k^2+1} cannot be extended to a D(4k)-quadruple
In this paper, we first show that for any fixed D(-1)-triple {1,b,c} with b<c, there exist at most t...
Let (S) be a set of primes. We call an (m)-tuple ((a_1,ldots,a_m)) of distinct, positive integers (S...
In this paper, we first show that for any fixed D(-1)-triple {1,b,c} with b<c, there exist at most t...
Let n be a nonzero integer. A set of m distinct positive integers is called a D(n)-m-tuple if the pr...
Let n be a nonzero integer. A set of m distinct positive integers is called a D(n)-m-tuple if the pr...
Abstract. For a nonzero integer n, a set of m distinct positive inte-gers fa1; : : : ; amg is called...
In this paper, we study the extensibility of the D(4)-triple {1, b, c}, where 1 < b < c, by proving ...
In this paper, we study the extensibility of the D(4)-triple {1, b, c}, where 1 < b < c, by proving ...
The set of $m$ positive integers with the property that the product of any two of them increased by ...
Let k ≥ 3 be an integer. We show that if d is a positive integer such that the product of any two di...
Let k ≥ 1 be an integer and let F_k be the k-th Fibonacci number and P_k k-th Pell number. In this p...
Let k ≥ 1 be an integer and let F_k be the k-th Fibonacci number and P_k k-th Pell number. In this p...
Let k ≥ 1 be an integer and let F_k be the k-th Fibonacci number and P_k k-th Pell number. In this p...
Let (S) be a set of primes. We call an (m)-tuple ((a_1,ldots,a_m)) of distinct, positive integers (S...
Let (S) be a set of primes. We call an (m)-tuple ((a_1,ldots,a_m)) of distinct, positive integers (S...
In this paper, we first show that for any fixed D(-1)-triple {1,b,c} with b<c, there exist at most t...
Let (S) be a set of primes. We call an (m)-tuple ((a_1,ldots,a_m)) of distinct, positive integers (S...
In this paper, we first show that for any fixed D(-1)-triple {1,b,c} with b<c, there exist at most t...
Let n be a nonzero integer. A set of m distinct positive integers is called a D(n)-m-tuple if the pr...
Let n be a nonzero integer. A set of m distinct positive integers is called a D(n)-m-tuple if the pr...
Abstract. For a nonzero integer n, a set of m distinct positive inte-gers fa1; : : : ; amg is called...
In this paper, we study the extensibility of the D(4)-triple {1, b, c}, where 1 < b < c, by proving ...
In this paper, we study the extensibility of the D(4)-triple {1, b, c}, where 1 < b < c, by proving ...
The set of $m$ positive integers with the property that the product of any two of them increased by ...
Let k ≥ 3 be an integer. We show that if d is a positive integer such that the product of any two di...
Let k ≥ 1 be an integer and let F_k be the k-th Fibonacci number and P_k k-th Pell number. In this p...
Let k ≥ 1 be an integer and let F_k be the k-th Fibonacci number and P_k k-th Pell number. In this p...
Let k ≥ 1 be an integer and let F_k be the k-th Fibonacci number and P_k k-th Pell number. In this p...
Let (S) be a set of primes. We call an (m)-tuple ((a_1,ldots,a_m)) of distinct, positive integers (S...
Let (S) be a set of primes. We call an (m)-tuple ((a_1,ldots,a_m)) of distinct, positive integers (S...
In this paper, we first show that for any fixed D(-1)-triple {1,b,c} with b<c, there exist at most t...
Let (S) be a set of primes. We call an (m)-tuple ((a_1,ldots,a_m)) of distinct, positive integers (S...
In this paper, we first show that for any fixed D(-1)-triple {1,b,c} with b<c, there exist at most t...