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math.NT2015
On the Density of Weak Polignac Numbers
Stijn S. C. Hanson
Let be an integer which is the difference between prime numbers infinitely often. It is known that there are infinitely many such and, in this paper, we give a new uncondit…
math.NT2014
On Polignac's conjecture and arithmetic progressions
Stijn Hanson
In this paper we investigate the recent advances by Zhang, Maynard and Pintz towards Polignac's conjecture and give some new results concerning the relationship between Polignac nu…