Problem #6




Find a quadratic polynomial P(x) with integer coefficients that is not the square of a linear polynomial, such that P(1), P(2), P(3), and P(4) are all perfect squares.

Source: Joe Konhauser Problemfest

For such a polynomial, what is the largest n such that P(1), P(2), P(3), ... and P(n) are all perfect squares?



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