AbstractIn this paper we prove that if (r,12)⩽3, then the set of positive odd integers k such that kr−2n has at least two distinct prime factors for all positive integers n contains an infinite arithmetic progression. The same result corresponding to kr2n+1 is also true
We say n ∈ ℕ is perfect if σ (n) = 2n, where σ(n) denotes the sum of the positive divisors of n. No ...
A composite odd integer can be expressed as product of two odd integers. Possibly this decomposition...
We address conjectures of P. Erdős and conjectures of Y.-G. Chen concerning the numbers in the title...
AbstractIn this paper we consider the integers of the forms k±2n and k2n±1, which are ever focused b...
AbstractIn this paper we prove that if (r,12)⩽3, then the set of positive odd integers k such that k...
AbstractIn this paper we consider the integers of the forms k±2n and k2n±1, which are ever focused b...
AbstractIn this paper we prove that the set of positive odd integers k such that k−2n has at least t...
With the expression ''structure of an odd integer'' we mean the set of properties of the integer n w...
With the expression ''structure of an odd integer'' we mean the set of properties of the integer n w...
AbstractErdős estimated the maximal number of integers selected from {1,2,…,N}, so that none of them...
Let qn denote the nth number that is a product of exactly two distinct primes. We prove that qn+1 - ...
AbstractLet e1,e2,…,en be a sequence of nonnegative integers such that the first non-zero term is no...
AbstractIt is not known whether or not there exists an odd perfect number. We describe an algorithmi...
AbstractIn this paper, we prove two results. The first theorem uses a paper of Kim (J. Number Theory...
A composite odd integer can be expressed as product of two odd integers. Possibly this decomposition...
We say n ∈ ℕ is perfect if σ (n) = 2n, where σ(n) denotes the sum of the positive divisors of n. No ...
A composite odd integer can be expressed as product of two odd integers. Possibly this decomposition...
We address conjectures of P. Erdős and conjectures of Y.-G. Chen concerning the numbers in the title...
AbstractIn this paper we consider the integers of the forms k±2n and k2n±1, which are ever focused b...
AbstractIn this paper we prove that if (r,12)⩽3, then the set of positive odd integers k such that k...
AbstractIn this paper we consider the integers of the forms k±2n and k2n±1, which are ever focused b...
AbstractIn this paper we prove that the set of positive odd integers k such that k−2n has at least t...
With the expression ''structure of an odd integer'' we mean the set of properties of the integer n w...
With the expression ''structure of an odd integer'' we mean the set of properties of the integer n w...
AbstractErdős estimated the maximal number of integers selected from {1,2,…,N}, so that none of them...
Let qn denote the nth number that is a product of exactly two distinct primes. We prove that qn+1 - ...
AbstractLet e1,e2,…,en be a sequence of nonnegative integers such that the first non-zero term is no...
AbstractIt is not known whether or not there exists an odd perfect number. We describe an algorithmi...
AbstractIn this paper, we prove two results. The first theorem uses a paper of Kim (J. Number Theory...
A composite odd integer can be expressed as product of two odd integers. Possibly this decomposition...
We say n ∈ ℕ is perfect if σ (n) = 2n, where σ(n) denotes the sum of the positive divisors of n. No ...
A composite odd integer can be expressed as product of two odd integers. Possibly this decomposition...
We address conjectures of P. Erdős and conjectures of Y.-G. Chen concerning the numbers in the title...
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