Broughan, Kevin A.Liu, Yi2013-04-302013-04-302013Liu, Y. (2013). Brocard’s problem and variations (Thesis, Master of Science (MSc)). University of Waikato, Hamilton, New Zealand. Retrieved from https://hdl.handle.net/10289/7565https://hdl.handle.net/10289/7565This 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.application/pdfenAll items in Research Commons are provided for private study and research purposes and are protected by copyright with all rights reserved unless otherwise indicated.Thesis2013-02-14