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arXiv · 1904.11822

Generating Prime Numbers -- A Fast New Method

V. Vilfred Kamalappan
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Abstract

Bertrand's Postulate ensures existence of prime $p$ between $n$ and $2n$, $n$ an integer $\geq 2$ and the sieve of Eratosthenes, a very simple ancient algorithm, generates all prime numbers up to any given limit. Combining the above two, in this paper, we provide a simple fast moving algorithm to generate prime numbers up to any given limit. We also discuss Riemann zeta function related to generating of prime numbers.

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V. Vilfred Kamalappan. 2019-04-25. Generating Prime Numbers -- A Fast New Method. https://arxiv.org/abs/1904.11822

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