2018 UNCO Math Contest II Problems/Problem 11
(a) Find an integer for which is a perfect square. (b) Show that there are infinitely many integers that have the property that is a perfect square, and determine at least three more examples of such . Hint: There is one approach that uses the result of a previous problem on this contest.
(Other acceptable answers are , and, in general, anything generated by the formula in part b. The answer students are most likely to give is
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