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

Publisher

University of Waikato

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Masters Degree Theses [2025]