List questions from square-numbers

Published on 14 May 2013 - 7:47

104

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Quadratic residues mod $n$ of $n-1$

Published on 25 Mar 2026 - 23:51

455

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For what $n$ and $m$ is this number a perfect square?

Published on 19 May 2013 - 9:31

148

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A slight variation on the Pythagorean theorem

Published on 19 May 2013 - 22:56

285

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Find the minimum values of $a,b,c,d,e,f$ that satisfy following equations

Published on 20 May 2013 - 7:52

265

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ordered pairs of distinct primes

Published on 26 May 2013 - 6:58

540

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Polynomial whose only values are squares

Published on 24 Jun 2013 - 8:27

345

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Geometric proof that if n is a non-perfect square, then √n is irrational.

Published on 28 Mar 2026 - 22:27

340

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$(4k-1)^2 +(4k)^2$ is a perfect square

Published on 24 Jun 2013 - 22:17

3.6k

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At least one member of a pythagorean triple is even

Published on 28 Mar 2026 - 6:40

734

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The values of $N$ for which $N(N-101)$ is a perfect square

Published on 05 Aug 2013 - 5:17

80

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Proving that $\sqrt{n^2+1}-n = F(n), n \in \mathbb{N}_{>0}$

Published on 29 Mar 2026 - 7:39

196

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Solving a function for square numbers

Published on 29 Mar 2026 - 5:34

6.4k

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Prove that $5$ is the only prime $p$ such that $3p + 1$ is a perfect square

Published on 15 Aug 2013 - 6:16

49.6k

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Are the square roots of all non-perfect squares irrational?

Published on 16 Aug 2013 - 4:29

List Question

If an integer $n$ is such that $7n$ is the form $a^2 + 3b^2$, prove that $n$ is also of that form.

Quadratic residues mod $n$ of $n-1$

For what $n$ and $m$ is this number a perfect square?

A slight variation on the Pythagorean theorem

Find the minimum values of $a,b,c,d,e,f$ that satisfy following equations

ordered pairs of distinct primes

Polynomial whose only values are squares

Geometric proof that if n is a non-perfect square, then √n is irrational.

$(4k-1)^2 +(4k)^2$ is a perfect square

At least one member of a pythagorean triple is even

The values of $N$ for which $N(N-101)$ is a perfect square

Proving that $\sqrt{n^2+1}-n = F(n), n \in \mathbb{N}_{>0}$

Solving a function for square numbers

Prove that $5$ is the only prime $p$ such that $3p + 1$ is a perfect square

Are the square roots of all non-perfect squares irrational?

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