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From: gmf@uvacs.UUCP
Newsgroups: net.math
Subject: Pell's (Fermat's) equations (addition)
Message-ID: <1252@uvacs.UUCP>
Date: Sun, 22-Apr-84 23:45:18 EST
Article-I.D.: uvacs.1252
Posted: Sun Apr 22 23:45:18 1984
Date-Received: Tue, 24-Apr-84 07:08:17 EST
Lines: 8


I know the solution to  x^2 - 961*y^2 = 1 .  It is given on p. 88 of
Sierpinski's  *Elementary Theory of Numbers* .  I also know the
solution to  x^2 - 991*y^2 = 1.  It is given on p. 93.  Sierpinski
remarks that the solution to one of these illustrates a peril of
induction.  Additional question:  What peril?

     Gordon Fisher