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Results tagged with prime-constellations
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user 494345
On certain subsets of prime numbers which are consecutive and close. Prime twins $p$ and $p+2$, as well as $p-2, p, p+4$, are constellations. Also related are admissible sets in number theory, which are sets $A$ of integers $a_i$ such that there may be an integer $t$ with many or all of $t+a_i$ being prime. This has ties to prime gaps and additive number theory
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Are prime numbers among sums of prime numbers distributed as $\frac n{2\ln(n)}$?
Let $(s_n)_{n\in\mathbb N}$ be defined as follows:
For $n\in\mathbb N$, $s_n:=2+3+5+\cdots+p_n$ is the sum of the first $n$ prime numbers (e.g.: $s_1=2$, $s_2=5$, $s_3=10$, $s_4=17$, $\ldots$).
Let $\ …
