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- W3100803707 abstract "Let $p_n$ denote the $n$th smallest prime number, and let $boldsymbol{L}$ denote the set of limit points of the sequence ${(p_{n+1} - p_n)/log p_n}_{n = 1}^{infty}$ of normalized differences between consecutive primes. We show that for $k = 9$ and for any sequence of $k$ nonnegative real numbers $beta_1 le beta_2 le ... le beta_k$, at least one of the numbers $beta_j - beta_i$ ($1 le i < j le k$) belongs to $boldsymbol{L}$. It follows at least $12.5%$ of all nonnegative real numbers belong to $boldsymbol{L}$." @default.
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- W3100803707 date "2016-08-23" @default.
- W3100803707 modified "2023-10-16" @default.
- W3100803707 title "On limit points of the sequence of normalized prime gaps" @default.
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- W3100803707 doi "https://doi.org/10.1112/plms/pdw036" @default.
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