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$\frac{x^5-y^5}{x-y}=p$,give what p ,the diophantine equation is solvable

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#number-theory #prime-numbers #algebraic-number-theory #diophantine-equations
1k
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negative pell's equation

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#elementary-number-theory #diophantine-equations #pell-type-equations
200
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Find all the natural solutions to this diophantine equation

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#number-theory #elementary-number-theory #diophantine-equations
82
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What method would I use for this proof?

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#elementary-number-theory #diophantine-equations
111
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Need a proofreading why all the units are satisfied $a^2-2b^2 =\pm1$ for $\mathbf{Z}[\sqrt{2}]$

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#elementary-number-theory #diophantine-equations #proof-verification
326
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Prove or disprove the following proposition

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#elementary-number-theory #diophantine-equations
170
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Find all rational solutions to $x^3 - y^2 = 2$.

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#number-theory #elementary-number-theory #diophantine-equations #contest-math #elliptic-curves
114
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integer solutions of the equation $a^3-5b^2$=2?

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#diophantine-equations
167
Views

The diophantine equation $a^n - 1 = (a-1)^m$.

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#diophantine-equations #exponential-function
84
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Need a proof to show all the units are satisfied $\mathbf{Z}\sqrt{2}$ is the all the integer solution in Pell equation

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#diophantine-equations
149
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How many numbers N satisfy N consecutive positive integers add to 2013?

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#combinatorics #number-theory #diophantine-equations
219
Views

Equation with seven unknowns

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#elementary-number-theory #diophantine-equations
119
Views

Three variable equation using only natural numbers

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#number-theory #diophantine-equations
741
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Prove the lecturer is a liar...

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#probability #number-theory #binomial-coefficients #diophantine-equations
545
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What's the approach to find out if this equation has integer solutions?

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#elementary-number-theory #algebraic-geometry #diophantine-equations

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