List questions from diophantine-equations

Published on 02 Jul 2018 - 10:12

168

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How would I approach this diophantine equation with powers of two? $(6k-1)2^{2(n-1)} = 9l-1$

Published on 02 Jul 2018 - 21:37

59

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Counting the number of solutions to an equation involving floor and ceiling function

Published on 25 Mar 2026 - 17:39

63

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On the Diophantine equation $ (12m^2 + 1)^x + (13m^2 - 1)^y = (5m)^z$

Published on 06 Jul 2018 - 18:45

82

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About the diophantine $x^2 + t(n) \space y^2 = n $.

Published on 26 Mar 2026 - 3:00

155

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A probabilistic equivalent of Fermat's last theorem?

Published on 09 Jul 2018 - 9:06

541

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Prove the equation $\left(2x^2+1\right)\left(2y^2+1\right)=4z^2+1$ has no solution in the positive integers

Published on 10 Jul 2018 - 11:53

108

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Number of solutions to $x^2+ax=y^2+by$

Published on 11 Jul 2018 - 0:24

993

Views

Formula to generate primitive quadruples to Diophantine equation $x^2+y^2=2(u^2+v^2)$

Published on 11 Jul 2018 - 17:41

92

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Generating equation for Diophantine equation

Published on 11 Jul 2018 - 21:33

45

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If $z$ is not divisible by $r$, where $r$ is a prime of the form $(4n+3)$, then there exists an integer $z_{1}$ such that $zz_{1} \equiv 1 (mod r) $

Published on 12 Jul 2018 - 16:15

622

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Find number of integers satisfying $x^{y^z} \times y^{z^x} \times z^{x^y}=5xyz$

Published on 13 Jul 2018 - 3:34

116

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Other diophantine equations solved thanks to modularity theorem

Published on 13 Jul 2018 - 8:19

429

Views

In the Diophantine equation, 5x + 17y = c

Published on 13 Jul 2018 - 18:06

841

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Diophantine equation $a^2+b^2+c^2=a^2b^2$

Published on 13 Jul 2018 - 19:31

List Question

Intersection of three events and a diophantine equation

How would I approach this diophantine equation with powers of two? $(6k-1)2^{2(n-1)} = 9l-1$

Counting the number of solutions to an equation involving floor and ceiling function

On the Diophantine equation $ (12m^2 + 1)^x + (13m^2 - 1)^y = (5m)^z$

About the diophantine $x^2 + t(n) \space y^2 = n $.

A probabilistic equivalent of Fermat's last theorem?

Prove the equation $\left(2x^2+1\right)\left(2y^2+1\right)=4z^2+1$ has no solution in the positive integers

Number of solutions to $x^2+ax=y^2+by$

Formula to generate primitive quadruples to Diophantine equation $x^2+y^2=2(u^2+v^2)$

Generating equation for Diophantine equation

If $z$ is not divisible by $r$, where $r$ is a prime of the form $(4n+3)$, then there exists an integer $z_{1}$ such that $zz_{1} \equiv 1 (mod r) $

Find number of integers satisfying $x^{y^z} \times y^{z^x} \times z^{x^y}=5xyz$

Other diophantine equations solved thanks to modularity theorem

In the Diophantine equation, 5x + 17y = c

Diophantine equation $a^2+b^2+c^2=a^2b^2$

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