Question

Can a square number be expressed as sum of squares of two other members.?

score 7.7k · Answer 1 · 2026-03-27 18:27:54

7.7k

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Can a square number be expressed as sum of squares of two other members.?

Published on 27 Mar 2026 - 18:27

score 307 · Answer 2 · 2015-10-12 17:45:48

307

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There exists a perfect square between $n$ and $2n$

Published on 12 Oct 2015 - 17:45

score 2.7k · Answer 3 · 2015-10-19 13:23:15

2.7k

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Let $k$ be a natural number . Then $3k+1$ , $4k+1$ and $6k+1$ cannot all be square numbers.

Published on 19 Oct 2015 - 13:23

score 42 · Answer 4 · 2015-10-20 03:32:05

42

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If a number cannot be...

Published on 20 Oct 2015 - 3:32

score 863 · Answer 5 · 2026-03-19 02:12:33

863

Views

General method for determining if $Ax^2 + Bx + C$ is square

Published on 19 Mar 2026 - 2:12

score 173 · Answer 6 · 2015-10-27 17:36:25

173

Views

Proof by cases: If n is a positive integer and there is a perfect square in $\{k \in \mathbb{Z} | n \leq k \leq 2n\}$

Published on 27 Oct 2015 - 17:36

score 90 · Answer 7 · 2015-11-05 11:35:11

90

Views

$n$ integers, $a_i a_j +1$ all perfect squares

Published on 05 Nov 2015 - 11:35

score 249 · Answer 8 · 2015-11-07 21:14:23

249

Views

Binomial coefficients that sum to a perfect square

Published on 07 Nov 2015 - 21:14

score 94 · Answer 9 · 2026-03-30 00:24:41

94

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Are all solutions of $ f_n (x)^{2n} + f_n ' (x)^{2n} = 1$ periodic?

Published on 30 Mar 2026 - 0:24

score 603 · Answer 10 · 2026-03-07 10:56:51

603

Views

Product of numbers $\pm \sqrt{1} \pm \sqrt{2} \pm \dots \pm \sqrt{100}$ is a perfect square

Published on 07 Mar 2026 - 10:56

score 41 · Answer 11 · 2015-11-15 21:18:54

41

Views

Show that there exists infinitely many $n$ such that $u_n$ is not a perfect square

Published on 15 Nov 2015 - 21:18

score 62 · Answer 12 · 2015-11-22 15:11:33

62

Views

Show that solutions of $a^3+b^3=c^3+d^3$ and $a+b=c+d$ for distinct $a,b,c,d$ are non-existent.

Published on 22 Nov 2015 - 15:11

score 113 · Answer 13 · 2026-03-30 12:27:26

113

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When are both $x$ and $ y$ rational in $ x^2 + y^2 = k$

Published on 30 Mar 2026 - 12:27

score 4.1k · Answer 14 · 2015-11-24 16:02:52

4.1k

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The sum of the first $n$ squares $(1 + 4 + 9 + \cdots + n^2)$ is $\frac{n(n+1)(2n+1)}{6}$

Published on 24 Nov 2015 - 16:02

score 1.4k · Answer 15 · 2015-11-30 16:44:44

1.4k

Views

Find all positive integers $n$ such that $2^8+2^{12}+2^n$ is a perfect square

Published on 30 Nov 2015 - 16:44

List Question

Can a square number be expressed as sum of squares of two other members.?

There exists a perfect square between $n$ and $2n$

Let $k$ be a natural number . Then $3k+1$ , $4k+1$ and $6k+1$ cannot all be square numbers.

If a number cannot be...

General method for determining if $Ax^2 + Bx + C$ is square

Proof by cases: If n is a positive integer and there is a perfect square in $\{k \in \mathbb{Z} | n \leq k \leq 2n\}$

$n$ integers, $a_i a_j +1$ all perfect squares

Binomial coefficients that sum to a perfect square

Are all solutions of $ f_n (x)^{2n} + f_n ' (x)^{2n} = 1$ periodic?

Product of numbers $\pm \sqrt{1} \pm \sqrt{2} \pm \dots \pm \sqrt{100}$ is a perfect square

Show that there exists infinitely many $n$ such that $u_n$ is not a perfect square

Show that solutions of $a^3+b^3=c^3+d^3$ and $a+b=c+d$ for distinct $a,b,c,d$ are non-existent.

When are both $x$ and $ y$ rational in $ x^2 + y^2 = k$

The sum of the first $n$ squares $(1 + 4 + 9 + \cdots + n^2)$ is $\frac{n(n+1)(2n+1)}{6}$

Find all positive integers $n$ such that $2^8+2^{12}+2^n$ is a perfect square

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