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List column of numbers 1-30. Use Excel, or a calculator, to calculate x squared plus x cubed. In the next column, calculate square roots. The ones that are integers go in a pattern. (Look at the numbers that are one larger than the ones that work.) Hint: Answer is a prime between 40 and 50.

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Q: For how many integers x in 1 to 2010 is x squared plus x cubed the square of an integer?
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