Add to ORKGLet [ ] denote the integer part. Among other results in [3] we gave a complete solution to the following problem. Problem. Given an increasing sequence an 2 R+, n = 1; 2; : : : ; where an! 1 as n!1, are there innitely many primes in the sequence [an] for almost all
It is well-known that there are infinitely many prime numbers. The ‘Twin Prime Conjecture’ states t...
We prove a generalization of the author's work to show that any subset of the primes which is 'well ...
Abstract We study the properties of prime number sequences obtained using a well-defined equivalence...
AbstractIt is shown that if an is an increasing sequence of reals satisfying certain (fairly mild) c...
Let n ∈ Z+. Is it true that every sequence of n consecutive integers greater than n2 and smaller tha...
Abstract: New sequences are introduced in number theory, and for each one a general question: how ma...
AbstractFor an arbitrary sequence {αn} of nonnegative real numbers there is no known necessary and s...
Here it is a long list of sequences, functions, unsolved problems, conjectures, theorems, relationsh...
When we search for prime numbers in a sequence, we would like to estimate how many are prime in a fi...
Knowledge about algorithms, integers, number theory, prime numbers and SequencesDirichlet's theorem ...
This is a study in the areas of mathematics under the Smarandache Notions umbrella. F. Smarandache h...
We answer to a Wintner's question concerning the sequence of integers composed of primes from a gi...
We give a new estimate for the integral moments of primes in short intervals of the type (p, p + h],...
AbstractThere is no known necessary and sufficient condition on a sequence {αn} of nonnegative real ...
AbstractLet Nm(x) be the number of arithmetic progressions that consist of m terms, all primes and n...
It is well-known that there are infinitely many prime numbers. The ‘Twin Prime Conjecture’ states t...
We prove a generalization of the author's work to show that any subset of the primes which is 'well ...
Abstract We study the properties of prime number sequences obtained using a well-defined equivalence...
AbstractIt is shown that if an is an increasing sequence of reals satisfying certain (fairly mild) c...
Let n ∈ Z+. Is it true that every sequence of n consecutive integers greater than n2 and smaller tha...
Abstract: New sequences are introduced in number theory, and for each one a general question: how ma...
AbstractFor an arbitrary sequence {αn} of nonnegative real numbers there is no known necessary and s...
Here it is a long list of sequences, functions, unsolved problems, conjectures, theorems, relationsh...
When we search for prime numbers in a sequence, we would like to estimate how many are prime in a fi...
Knowledge about algorithms, integers, number theory, prime numbers and SequencesDirichlet's theorem ...
This is a study in the areas of mathematics under the Smarandache Notions umbrella. F. Smarandache h...
We answer to a Wintner's question concerning the sequence of integers composed of primes from a gi...
We give a new estimate for the integral moments of primes in short intervals of the type (p, p + h],...
AbstractThere is no known necessary and sufficient condition on a sequence {αn} of nonnegative real ...
AbstractLet Nm(x) be the number of arithmetic progressions that consist of m terms, all primes and n...
It is well-known that there are infinitely many prime numbers. The ‘Twin Prime Conjecture’ states t...
We prove a generalization of the author's work to show that any subset of the primes which is 'well ...
Abstract We study the properties of prime number sequences obtained using a well-defined equivalence...