List questions from diophantine-equations

Published on 03 Jul 2016 - 8:52

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General solution of Pell's equation

Published on 03 Jul 2016 - 20:29

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Points on the elliptic curve for Ramanujan-type cubic identities

Published on 29 Mar 2026 - 17:27

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A number which can be factored into a product of $k$ and $k+2$ consecutive natural numbers (each $>1$)

Published on 03 Jul 2016 - 23:07

168

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Integer solutions to $x^3 + x^2y + xy^2 + y^3 = 8(x^2 + xy + y^2 + 1)$

Published on 05 Jul 2016 - 16:10

163

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Alternative solutions to $n^2+n = k^2+k + 2kn$

Published on 13 Apr 2026 - 6:15

486

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Diophantine equation $x^2 + 32x = y^3$

Published on 06 Apr 2026 - 1:50

140

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Which diophantine polynomials generate these diophantine sets?

Published on 01 Apr 2026 - 23:29

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Finding all integer solutions of $5^x+7^y=2^z$

Published on 12 Apr 2026 - 18:58

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Find the positive integer solutions of $m!=n(n+1)$

Published on 04 Apr 2013 - 0:10

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Solve : $\space 3^x + 5^y = 7^z + 11^w$

Published on 09 Apr 2026 - 8:10

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Integral solutions of hyperboloid $x^2+y^2-z^2=1$

Published on 01 Apr 2026 - 19:38

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Show that the equation $x^{13} +12x + 13y^6 = 1$ doesn't have integer solutions

Published on 07 Apr 2013 - 3:33

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Solving $x^2+19=y^5$

Published on 07 Apr 2013 - 17:54

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If $x^p +y^p = z^p$ and $xyz \neq 0$, then $p$ divides $x$ or $y$ or $z$?

Published on 09 Apr 2013 - 1:22

List Question

Solve $56x+63y=1$

General solution of Pell's equation

Points on the elliptic curve for Ramanujan-type cubic identities

A number which can be factored into a product of $k$ and $k+2$ consecutive natural numbers (each $>1$)

Integer solutions to $x^3 + x^2y + xy^2 + y^3 = 8(x^2 + xy + y^2 + 1)$

Alternative solutions to $n^2+n = k^2+k + 2kn$

Diophantine equation $x^2 + 32x = y^3$

Which diophantine polynomials generate these diophantine sets?

Finding all integer solutions of $5^x+7^y=2^z$

Find the positive integer solutions of $m!=n(n+1)$

Solve : $\space 3^x + 5^y = 7^z + 11^w$

Integral solutions of hyperboloid $x^2+y^2-z^2=1$

Show that the equation $x^{13} +12x + 13y^6 = 1$ doesn't have integer solutions

Solving $x^2+19=y^5$

If $x^p +y^p = z^p$ and $xyz \neq 0$, then $p$ divides $x$ or $y$ or $z$?

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