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x^2 - 10*x - 22

Source: IMO LongList 1988, South Korea 3, Problem 64 of ILL

November 3, 2005
inequalitiesnumber theory unsolvednumber theory

Problem Statement

Find all positive integers xx such that the product of all digits of xx is given by x2−10⋅x−22.x^2 - 10 \cdot x - 22.
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