Some properties of a sequence defined with the aid of prime numbers

Brăduţ Apostol, Laurenţiu Panaitopol, Lucian Petrescu +1

For every integer $n\ge 1$ let $a_n$ be the smallest positive integer such that $n+a_n$ is prime. We investigate the behavior of the sequence $(a_n{)}_{n\ge 1}$, and prove asymptotic…