x2 + y2 = 5

x2 + y2 = 5

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  • Prompt: polynomials with integer coefficients, such as x2 + y2 = 5. These familiar equations are one of the most central objects of study in mathematics. For millennia, mathematicians have sought integer solutions to them. In this example, for instance, one solution is x = 1, y = 2 (since 12 + 22 = 5). Another is x = 2, y = −1.
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