List questions from diophantine-equations

Published on 17 Aug 2014 - 15:27

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Solution to Diophantine equation with constraint.

Published on 17 Aug 2014 - 16:22

191

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Solving $n! + 3n = k^2$

Published on 17 Aug 2014 - 21:08

664

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Find all positive integers satisfying $\frac{2^n+1}{n^2} =k $

Published on 18 Aug 2014 - 10:53

128

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Find the non-trivial solutions of the diophantine equation: $a^3+3a^2b=c^3$

Published on 19 Aug 2014 - 11:36

72

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The Diophantine equation $x^p - 4y^p = z^2$ with $(x, y) = 1$ and $x, y, z > p.$

Published on 19 Aug 2014 - 13:26

69

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Given a Pell “solution” in [integer] polynomials, what can be said about the components?

Published on 19 Aug 2014 - 14:40

771

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Looking for help with this elementary method of finding integer solutions on an elliptic curve.

Published on 29 Mar 2026 - 12:25

119

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Conditions on solutions of a diophantine equation.

Published on 21 Aug 2014 - 18:48

76

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Powerful numbers in Pell solutions (or, more generally, any Lucas sequence)

Published on 21 Aug 2014 - 18:57

66

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Superelliptic curves

Published on 21 Aug 2014 - 21:14

355

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"Descent" on binary quadratic forms?

Published on 27 Mar 2026 - 7:21

35

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How can we generate a $2$-digit number $XY$ on base $B$, such that $BX+Y=Y^X$?

Published on 27 Mar 2026 - 8:42

170

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solve the diophantine equation: $x^3-3xy^2=z^3$

Published on 23 Aug 2014 - 14:24

714

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coin problem with two coins, inductive proof

Published on 27 Mar 2026 - 8:46

List Question

Find integral solutions for $2x^2+y^2=2\times(1007)^2+1$

Solution to Diophantine equation with constraint.

Solving $n! + 3n = k^2$

Find all positive integers satisfying $\frac{2^n+1}{n^2} =k $

Find the non-trivial solutions of the diophantine equation: $a^3+3a^2b=c^3$

The Diophantine equation $x^p - 4y^p = z^2$ with $(x, y) = 1$ and $x, y, z > p.$

Given a Pell “solution” in [integer] polynomials, what can be said about the components?

Looking for help with this elementary method of finding integer solutions on an elliptic curve.

Conditions on solutions of a diophantine equation.

Powerful numbers in Pell solutions (or, more generally, any Lucas sequence)

Superelliptic curves

"Descent" on binary quadratic forms?

How can we generate a $2$-digit number $XY$ on base $B$, such that $BX+Y=Y^X$?

solve the diophantine equation: $x^3-3xy^2=z^3$

coin problem with two coins, inductive proof

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