Disapprove of a conjecture of Erdos on primitive sequences

Details Disapprove of a conjecture of Erdos on primitive sequences Disapprove of a conjecture of Erdos on primitive sequences

2011-04-19

arxiv.org/abs/1104.3724v1

Mathematics

Number Theory

2 pages

Scientific paper

We disapprove the conjecture of Erd\H{o}s which states that for any primitive
sequence $A$, we have: $$ \sum_{a \in A}\frac{1}{a \log a} \leq \sum_{p
~\text{prime}}\frac{1}{p \log p} . $$

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