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Number of integer solutions of a nonlinear equations of the form $2^m-3^k=y$

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#number-theory #diophantine-equations
126
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Is the problem Find all $x,y \in \mathbf{N}$ such that $\binom{x}{2} = \binom{y}{5}$ solved?

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#number-theory #diophantine-equations #combinatorial-number-theory
71
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Diophantine Equations of Degree 2

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#diophantine-equations
664
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Integers which can be written as sum of powers of $2,3$, and $5$

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#number-theory #diophantine-equations
135
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Method to solve diophantine $Ax^2-By^3=C$ or $Ax-By^3=C$

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#number-theory #diophantine-equations #quadratic-forms
80
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Trouble understanding generalised form of Pell’s equation

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#number-theory #diophantine-equations #pell-type-equations
138
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Integers in the form $\pm 2^a \pm 3^b \pm 5^c$

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#number-theory #diophantine-equations
59
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Solution to Diophantine equation $19991112x + 2803y = 33$

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#diophantine-equations #euclidean-algorithm
48
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Pirate and Bags of Coin

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#diophantine-equations #gcd-and-lcm #euclidean-algorithm
128
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How many marbles?

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#number-theory #diophantine-equations #gcd-and-lcm #euclidean-algorithm #least-common-multiple
110
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Diophantine Equations of degree 3 and 4

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#calculus #diophantine-equations
50
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solving a Diophantine equation through respective congruences?

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#number-theory #elementary-number-theory #modular-arithmetic #diophantine-equations
118
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How to solve Quartic Diophantine Equations

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#calculus #diophantine-equations
231
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Find all integral solutions to $xy^2 + (x^2 + 1)y + x^4 + 1 = 0$.

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#polynomials #algorithms #diophantine-equations #maple #computer-algebra-systems
81
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How do solve an Interesting Diophantine Equation

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#calculus #diophantine-equations

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