Brocard's problem and variations

Liu, Yi

Files

thesis.pdf

676.8Kb

Citation

Export citation

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

Publisher

University of Waikato

Rights

Collections

Masters Degree Theses [1787]