Outline Mathematics Number Theory Primes as differences of squares Here's a problem to tackle: Which primes can be expressed as the difference of two squares? Which primes can be so expressed in two or more different ways? Solution Copyright © 1996-2008 Alexander Bogomolny                             Solution Which primes can be expressed as the difference of two squares? Which primes can be so expressed in two or more different ways? (In the applet below, click on the underlined omitted expressions. See what happens.) This applet requires Sun's Java VM 2 which your browser may perceive as a popup. Which it is not. If you want to see the applet work, visit Sun's website at http://www.java.com/en/download/index.jsp, download and install Java VM and enjoy the applet. References T. Gardiner, More Mathematical Challenges, Cambridge University Press, 2003, pp. 92-93. Copyright © 1996-2008 Alexander Bogomolny

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