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arXiv · 1111.2003

Reducing the number of prime factors of long $\kappa$-tuples

C. S. Franze
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Abstract

We prove that there are infinitely many integers $n$ such that the total number of prime factors of $(n+h_{1})(n+h_{2})...(n+h_{\kappa})$ is at most $(1/2)\kappa\log\kappa+O(\kappa)$, provided $\kappa$ is sufficiently large.

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C. S. Franze. 2011-11-08. Reducing the number of prime factors of long $\kappa$-tuples. https://arxiv.org/abs/1111.2003

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