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- W2784353451 abstract "Mills showed that there exists a constant $A$ such that $lfloor{A^{3^n}}rfloor$ is prime for every positive integer $n$. Kuipers and Ansari generalized this result to $lfloor{A^{c^n}}rfloor$ where $cinmathbb{R}$ and $cgeq 2.106$. The main contribution of this paper is a proof that the function $lceil{B^{c^n}}rceil$ is also a prime-representing function, where $lceil Xrceil$ denotes the ceiling or least integer function. Moreover, the first 10 primes in the sequence generated in the case $c=3$ are calculated. Lastly, the value of $B$ is approximated to the first $5500$ digits and is shown to begin with $1.2405547052ldots$." @default.
- W2784353451 created "2018-02-02" @default.
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- W2784353451 date "2018-01-24" @default.
- W2784353451 modified "2023-09-27" @default.
- W2784353451 title "A Variation on Mills-Like Prime-Representing Functions" @default.
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