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On the equation $(1-x)^2/x + (1-y)^2/y + (1-z)^2/z + 4 = 0$

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#number-theory #diophantine-equations
108
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Finding integer solutions to this equation

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#number-theory #diophantine-equations #ceiling-and-floor-functions
3.1k
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Find all real solutions for $16^{x^2 + y} + 16^{x + y^2} = 1$

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#algebra-precalculus #diophantine-equations
368
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Using Graphs Changes the Solutions for Diophantine Equation? Imperfection of Graph?

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#elementary-number-theory #diophantine-equations #graphing-functions
3.2k
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Solving the diophantine equation $y^{2}=x^{3}-2$

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#number-theory #algebraic-number-theory #diophantine-equations
1.9k
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Positive integral solutions of $3^x+4^y=5^z$

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#diophantine-equations
38
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find solution for the variable y

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#diophantine-equations
133
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Why has $3^x+4^y=5^z$ has only one solution (2,2,2) in positive integers?

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#elementary-number-theory #modular-arithmetic #diophantine-equations
140
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Find all integers n which satisfies $1^n+9^n+10^n=5^n+6^n+11^n$

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#elementary-number-theory #modular-arithmetic #diophantine-equations
357
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What integers can be represented by the quadratic form $4x^2 - 3y^2 - z^2$?

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#number-theory #diophantine-equations #quadratic-forms
229
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Twin Prime Powers

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#number-theory #elementary-number-theory #diophantine-equations
595
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Solve equation $ 1+2^x=3^y$

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#diophantine-equations
2.7k
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General quadratic diophantine equation.

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#algebraic-geometry #diophantine-equations #conic-sections
9.2k
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Solving linear Diophantine equations in 3 variables

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#elementary-number-theory #diophantine-equations
979
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There are only finitely many integer solutions to $ax^n+by^n=c.$

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#number-theory #diophantine-equations

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