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  • Author:
    Dominic Leon Culver
    Advisory Committee:
    Mark Behrens
    Degree Area:
    Mathematics
    Degree:
    PhD
    Defense Date:
    2017-05-10
    Record Visibility:
    Public
  • Abstract:

    In 1845 Bertrand postulated that there is always a prime between $n$ and $2n$, and he verified this for $n < 3,000,000$. Tchebychev gave an analytic proof of the postulate in 1850. In 1932, in his first paper, Erdos gave a beautiful elementary proof using nothing more than a few easily verified facts about the middle binomial coefficient. We describe Erdos’s proof and make a few additional comments, including a discussion of how the two main lemmas used in the proof very quickly give a…

    Record Visibility:
    Public
    Resource Type
    Document
  • Author:
    John E. Derwent
    Degree Area:
    Mathematics
    Degree:
    PhD
    Defense Date:
    1963-06-14
    Record Visibility:
    Public