Prime numbers with a certain extremal type property

@article{Tutaj2014PrimeNW,
  title={Prime numbers with a certain extremal type property},
  author={Edward Tutaj},
  journal={Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
  year={2014},
  volume={17},
  pages={127 - 151}
}
  • Edward Tutaj
  • Published 2014
  • Mathematics
  • Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
  • Abstract The convex hull of the subgraph of the prime counting function x → π(x) is a convex set, bounded from above by a graph of some piecewise affine function x → (x). The vertices of this function form an infinite sequence of points (ek,π(ek))1∞ $({e_k},\pi ({e_k}))_1^\infty $ . The elements of the sequence (ek)1∞ shall be called the extremal prime numbers. In this paper we present some observations about the sequence (ek)1∞ and we formulate a number of questions inspired by the numerical… CONTINUE READING

    Citations

    Publications citing this paper.
    SHOWING 1-4 OF 4 CITATIONS

    References

    Publications referenced by this paper.
    SHOWING 1-5 OF 5 REFERENCES