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Pre-Wiles' results on Fermat's Last Theorem

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Prove that there do not exist positive integers $x$ and $y$ with $x^2 - y^2 = n$

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Diophantine equation question concerning squares

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How to find all solutions to equations like $3x+2y = 380$ using matrices/linear algebra?

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177
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Is there always a telescopic series associated with a rational number?

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#sequences-and-series #diophantine-equations #rational-numbers
150
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Finding the all triples

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Finding all solutions to $y^3 = x^2 + x + 1$ with $x,y$ integers larger than $1$

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758
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Local solutions of a Diophantine equation

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#number-theory #diophantine-equations #p-adic-number-theory
163
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Trivial solution when solving in integers

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#elementary-number-theory #diophantine-equations
388
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Nonexistence of Pythagorean triple with largest side prime.

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Fermat's Last Theorem: rational solutions iff integer solutions

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#elementary-number-theory #diophantine-equations
725
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Finding positive integer solutions to $n = ax^2 +by^2 - cxy$

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#elementary-number-theory #diophantine-equations #quadratic-forms
121
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Diophantine Equation $x^n+y^n=z^n$

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#reference-request #diophantine-equations
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Second degree Diophantine equations

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Solve the Diophantine equation $ 3x^2 - 2y^2 =1 $

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