# A double inequality for the ratio of two consecutive Bernoulli numbers

The ratio of two consecutive Bernoulli numbers with even indexes satisfy the following double inequality

For detailed information, please read the following preprints:

- Feng Qi,
*A double inequality for ratios of Bernoulli numbers*, ResearchGate Dataset (2014), available online at http://dx.doi.org/10.13140/2.1.2367.2962. - Feng Qi,
*A double inequality for ratios of Bernoulli numbers*, RGMIA Research Report Collection**17**(2014), Article 103, 4 pages; Available online at http://rgmia.org/v17.php. - Feng Qi,
*A double inequality for ratios of the Bernoulli numbers*, ResearchGate Dataset (2015), available online at http://dx.doi.org/10.13140/RG.2.1.3461.2641. - Feng Qi,
*A double inequality for the ratio of two consecutive Bernoulli numbers*, Preprints**2017**, 2017080099, 7 pages; Available online at https://doi.org/10.20944/preprints201708.0099.v1.

Very interesting! Are there other known estimates for ratios of Bernoulli numbers?

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To the best of my knowledge, I do not know whether there are other known estimates for ratios of Bernoulli numbers. If you find any, please let me know. Thank a lot.

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