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15
131
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Efficiency of general solution to "primes of the form $x^2+ny^2$"

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#number-theory #prime-numbers #diophantine-equations #computational-complexity #quadratic-forms
143
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Integer points of $y^2 = x^3 - 4x + 9$

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#number-theory #elementary-number-theory #algebraic-number-theory #diophantine-equations #elliptic-curves
37
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Strategy To Solve Diophantine Equations

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#diophantine-equations
69
Views

Integer solution $xy=2^x-1$

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#elementary-number-theory #contest-math #diophantine-equations #exponential-diophantine-equations
98
Views

Finding all possible roots of the equation

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#roots #diophantine-equations #cubics #roots-of-cubics
225
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Is it possible to find all integer solutions to this system of equations, inequalities and inequations?

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#systems-of-equations #diophantine-equations #constraint-programming
142
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Prove that there exists infinite solutions for this Diophantine equation

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#elementary-number-theory #diophantine-equations
75
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Find all integer solutions to this Diophantine equation containing square root

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#number-theory #elementary-number-theory #diophantine-equations
48
Views

Finding three perfect complex powers with equal norm and cancelling imaginary parts

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#complex-numbers #diophantine-equations #gaussian-integers #perfect-powers
58
Views

How one can transform a statement to a system of Diophantine conditions

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#logic #diophantine-equations #quantifiers
102
Views

Finding Lattice points on a Cubic

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#diophantine-equations #elliptic-curves #cubics #square-numbers #discriminant
209
Views

Find natural number $x,y$ satisfy $x^2+7x+4=2^y$

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#elementary-number-theory #polynomials #quadratics #diophantine-equations
69
Views

Given integers $a$ and $b$, what integers $k$ make $ak+b$ a power of 2?

Published on
#diophantine-equations
71
Views

When can we represent n as a sum of squares with square roots that lie in an arithmetic progression.

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#number-theory #modular-arithmetic #diophantine-equations
185
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Solve for all $x,y\in N$ and $x^3-3^y = 2015$

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#elementary-number-theory #diophantine-equations

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