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      Brocard's problem and variations

      Liu, Yi
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      Liu, Y. (2013). Brocard’s problem and variations (Thesis, Master of Science (MSc)). University of Waikato, Hamilton, New Zealand. Retrieved from https://hdl.handle.net/10289/7565
      Permanent Research Commons link: https://hdl.handle.net/10289/7565
      Abstract
      This thesis examines the work which has been done on Brocard’s problem which is to study solutions to

      n! + 1 = x²,

      and related problems of the form

      n! = f(x) or n! = f(x, y),

      where f is a polynomial with integer coefficients. I also consider problems of the form

      n! = f(x),

      where there are apparently no solutions.
      Date
      2013
      Type
      Thesis
      Degree Name
      Master of Science (MSc)
      Supervisors
      Broughan, Kevin A.
      Publisher
      University of Waikato
      Rights
      All items in Research Commons are provided for private study and research purposes and are protected by copyright with all rights reserved unless otherwise indicated.
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      • Masters Degree Theses [2381]
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