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Developing A General 2nd Degree Diophantine Equation x^2 + p = 2^n

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Visit this site: http://www.biochem.okstate.edu/OAS/OJAS/thiendo.htm

Author:Thien Do; Westmoore High School, Oklahoma City, OK
Description: Using methods of congruences, the author shows that if p = 3 there is only one positive solution (1,2), and if p is any other odd prime not congruent to 7 mod 8, there are no solutions. Introduction; Methodology; Conclusions; Further Works; Acknowledgements; References.

Levels: High School (9-12), College
Languages: English
Math Topics: Number Theory

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