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Solutions to easy Diophantine $8pq +1 = a^{2}$, p and q primes

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Counting the number of positive prime solutions to third degree Thue equations equal a prime.

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Quintic diophantine equation

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695
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Diophantine equation $a^m + b^m = c^n$ ($m, n$ coprime)

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#number-theory #diophantine-equations
129
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Diophantine Equation: $f(x)f(y) = f(z^2)$ where $f$ is quadratic

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1.2k
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Trigonometric diophantine equation $8\sin^2\left(\frac{(k+1)\pi}{n}\right)=n\sin\left(\frac{2\pi}{n}\right)$

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#number-theory #trigonometry #field-theory #diophantine-equations
170
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Nice sequences related to the Diophantine equation $d^{m+1} =a^{m}+ b^{m}+ c^{m}$

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184
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Finding K value to solve a problem using diophantine equation

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#elementary-number-theory #proof-writing #diophantine-equations
124
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Diophantus again; not to say Pell.

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#number-theory #diophantine-equations
569
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How can I find the integer solutions to $x^2+x-2y^2=0$?

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#number-theory #diophantine-equations
731
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Integer solutions

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#combinatorics #diophantine-equations #integer-partitions
46
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Find the lowest natural root

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#diophantine-equations
304
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Diophantine equation to characterize natural numbers

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#diophantine-equations
696
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Quadratic Diophantine Equations

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320
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Number of integer solutions of an equation

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