Let d be a squarefree integer and consider the subclass of primes with Legendre symbol ( d/p ) = +1. It is shown that for x large enough (x; 2x] contain a prime of this type
We prove that every interval xð1 D1Þ; x contains a prime number with D 28 314 000 and provided xX...
Abstract. For any > 0 and any non-exceptional modulus q ≥ 3, we prove that, for x large enough (x...
Aigner has defined elite primes as primes p such that all but finitely many of Fermat numbers F(n) =...
AbstractBertrand's Postulate is the theorem that the interval (x, 2x) contains at least one prime fo...
We discuss the formalization, in the Matita Interactive Theorem Prover, of some results by Chebyshev...
Legendre’s conjecture states that there is a prime number between n2 and (n + 1)2 for every positive...
summary:In this paper we establish the distribution of prime numbers in a given arithmetic progressi...
For centuries, mathematicians have been exploring the idea of prime numbers. How do we find them? Ar...
We prove a couple of related theorems including Legendre’s and Andrica’s conjecture. Key to the proo...
6International audienceWe deal with the concept of prime number together with the Legendre and Goldb...
The classical theorem of Dirichlet states that any arithmetic progression a(mod q) in which a and q ...
We conjecture that any interval of the form [q^t ,q^(t+1) ], where q≥ 2 and t≥1 denote positive inte...
This work presents a study of prime numbers, how they are distributed, how many prime numbers are t...
AbstractLet p be an odd prime and n an integer relatively prime to p. In this work three criteria wh...
Fermat’s little theorem is an important property of integers to a prime modulus. Theorem 1.1 (Fermat...
We prove that every interval xð1 D1Þ; x contains a prime number with D 28 314 000 and provided xX...
Abstract. For any > 0 and any non-exceptional modulus q ≥ 3, we prove that, for x large enough (x...
Aigner has defined elite primes as primes p such that all but finitely many of Fermat numbers F(n) =...
AbstractBertrand's Postulate is the theorem that the interval (x, 2x) contains at least one prime fo...
We discuss the formalization, in the Matita Interactive Theorem Prover, of some results by Chebyshev...
Legendre’s conjecture states that there is a prime number between n2 and (n + 1)2 for every positive...
summary:In this paper we establish the distribution of prime numbers in a given arithmetic progressi...
For centuries, mathematicians have been exploring the idea of prime numbers. How do we find them? Ar...
We prove a couple of related theorems including Legendre’s and Andrica’s conjecture. Key to the proo...
6International audienceWe deal with the concept of prime number together with the Legendre and Goldb...
The classical theorem of Dirichlet states that any arithmetic progression a(mod q) in which a and q ...
We conjecture that any interval of the form [q^t ,q^(t+1) ], where q≥ 2 and t≥1 denote positive inte...
This work presents a study of prime numbers, how they are distributed, how many prime numbers are t...
AbstractLet p be an odd prime and n an integer relatively prime to p. In this work three criteria wh...
Fermat’s little theorem is an important property of integers to a prime modulus. Theorem 1.1 (Fermat...
We prove that every interval xð1 D1Þ; x contains a prime number with D 28 314 000 and provided xX...
Abstract. For any > 0 and any non-exceptional modulus q ≥ 3, we prove that, for x large enough (x...
Aigner has defined elite primes as primes p such that all but finitely many of Fermat numbers F(n) =...
DOI
Add to ORKG