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Moreover, either give an example or prove that it is impossible. One can find primitive Pythagorean triples in which the hypotenuse is one unit longer than one of the other sides, e.g., 3,4,5, 5,12,13,7,24,25, 9,40,41, 11,60,61. Parametrize all such solutions. This aspect of Categoryexamples Of Diophantine Problems Proofwiki plays a vital role in practical applications.

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Furthermore, diophantine problems, named after Diophantus of Alexandria, are concerned with the integral solution of polynomial equations with integer coefficients. The following Diophantine equations are discussed in the text. This aspect of Categoryexamples Of Diophantine Problems Proofwiki plays a vital role in practical applications.

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Furthermore, diophantine approximation methods. This can come in many different guises, from the simplest such as Runges method, to much more sophisticated ones such as Baker-type methods. This aspect of Categoryexamples Of Diophantine Problems Proofwiki plays a vital role in practical applications.

Moreover, explicit Methods for Solving Diophantine Equations. This aspect of Categoryexamples Of Diophantine Problems Proofwiki plays a vital role in practical applications.

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