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I will tell you how to decide whether or not your order number is a
sum of two squares.  For example, an odd prime number is a sum of two
squares if and only if when divided by  it leaves a remainder
of
 it leaves a remainder
of  .  For example,
.  For example,  is not a sum of two squares, but
 is not a sum of two squares, but  is.
 is.
William A Stein
2001-09-11