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arXiv · 1503.01744

Verification of the Firoozbakht conjecture for primes up to four quintillion

Alexei Kourbatov
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Abstract

If $p_k$ is the k-th prime, the Firoozbakht conjecture states that the sequence $(p_k)^{1/k}$ is strictly decreasing. We use the table of first-occurrence prime gaps in combination with known bounds for the prime-counting function to verify the Firoozbakht conjecture for primes up to four quintillion $(4\times10^{18})$.

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Alexei Kourbatov. 2015-03-05. Verification of the Firoozbakht conjecture for primes up to four quintillion. https://doi.org/10.12988/imf.2015.5322

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