Prime-representing functions

@article{Matomki2010PrimerepresentingF,
  title={Prime-representing functions},
  author={Kaisa Matom{\"a}ki},
  journal={Acta Mathematica Hungarica},
  year={2010},
  volume={128},
  pages={307-314}
}
We construct prime-representing functions. In particular we show that there exist real numbers α > 1 such that ⌈α2n⌉ is prime for all n ∈ ℕ. Indeed the set consisting of such numbers α has the cardinality of the continuum. 
7 Citations
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