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arxiv: 1706.04049 · v1 · pith:G22DQPNInew · submitted 2017-06-13 · 🧮 math.NT

Improving the Estimates for a Sequence Involving Prime Numbers

classification 🧮 math.NT
keywords estimatesprimeinvolvingnumberssequencecountingcurrentlyexplicit
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Based on new explicit estimates for the prime counting function, we improve the currently known estimates for the particular sequence $C_n = np_n - \sum_{k \leq n}p_k$, $n \geq 1$, involving the prime numbers.

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