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  • Abstract:

    Summary of CDS activities during Academic Year 2013 - 2014.

    Date Created:
    2016-01-11
    Resource Type
    Document
  • 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…

    Resource Type
    Document