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When is $p^2+1$ twice of a prime?

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#abstract-algebra #number-theory #prime-numbers #diophantine-equations
410
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Solving a Diophantine Equation dealing with powers of 2

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#number-theory #diophantine-equations
127
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How to prove that Fibonacci number pairs are the only solution to this equation?

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#diophantine-equations #fibonacci-numbers
415
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How to solve this Diophantine equation?

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#calculus #diophantine-equations #natural-numbers
240
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About the equation $x^2+y^2+z^2+2t^2=n$

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#asymptotics #diophantine-equations #divisor-sum #translation-request
56
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Number theory vs cubing

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#number-theory #diophantine-equations
1.2k
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Showing a polynomial having at least one integer root under certain conditions has precisely one integer root

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#polynomials #diophantine-equations
119
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Literature Review for $a^5 + b^5 = c^5 + d^5$

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#diophantine-equations
78
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Solution of Diophantine Equation $1+a^6=x^2$

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#number-theory #diophantine-equations
242
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Positive integer solution of Diophantine equation $a^2+b^2=z^3$

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#number-theory #elementary-number-theory #diophantine-equations #sums-of-squares
737
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Prove that there are no integer solutions to this equation

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#number-theory #diophantine-equations
169
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Solutions of $2^a+5^b=c^2$

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#number-theory #diophantine-equations #square-numbers
88
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How to solve the following diophantine equation?

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#number-theory #diophantine-equations
127
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Find all integer solutions of $3(m^2 + n^2) - 7(m+n) = -4$.

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#circles #diophantine-equations
98
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Solve $an^2+bn+c=k^2$ over the integers.

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#diophantine-equations

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