Some Properties of a Sequence Defined with the Aid of Prime Numbers
نویسندگان
چکیده
For every integer n ≥ 1 let an be the smallest positive integer such that n + an is prime. We investigate the behavior of the sequence (an)n≥1, and prove asymptotic results for the sums ∑ n≤x an, ∑ n≤x 1/an, and ∑ n≤x log an.
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تاریخ انتشار 2015