ABSTRACT This thesis attempts to answer two questions based upon the historical observation that 1^2 +2^2 +· · ·+24^2 = 70^2. The first question considers changing the starting number of the left hand side of the equation from 1 to any perfect square in the range 1 to 10000. On this question, I attempt to determine which perfect square to end the left hand side of the equation with so that the right hand side of the equation is a perfect square.
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- Partial requirement for: M.A., Arizona State University, 2010Note typethesis
- Includes bibliographical references (p. 53)Note typebibliography
- Field of study: Mathematics