4 citations · 4 across the 9 of their papers we have counts for
Showing 2017Show all
3 papers · 1 filter
math.NT2017
Gaps of powers of consecutive primes and some consequences
Douglas Azevedo, Tiago Reis
Let denote the -th prime number, be a sequence of positive numbers and . In this note we prove that the inequality $$q_n p_{n+1}^{x}-q_{n+1}p_{n}…
math.NT2017
About de Polignac's conjecture
Douglas Azevedo
In this note we present a method to bound gaps between primes via the divergence of the series of reciprocals of the prime numbers, a consequence of a version of the Bertrand's tes…
math.NT2017
Bounds on prime gaps as a consequence of the divergence of the series of reciprocal primes
Douglas Azevedo
In this paper, using the well known fact that the series of reciprocals of primes diverges, we obtain a general inequality for gaps of consecutive primes that holds for infinitely…