Question

Algorithm to find a form of some Sum of Square

score 165 · Answer 1 · 2023-04-09 16:44:02

165

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Algorithm to find a form of some Sum of Square

Published on 09 Apr 2023 - 16:44

score 34 · Answer 2 · 2026-03-26 13:46:34

34

Views

On the divisibility constraint $\sigma(q^k)/2 \nmid n$ and the Descartes spoof

Published on 26 Mar 2026 - 13:46

score 93 · Answer 3 · 2023-04-16 04:47:26

93

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What am I missing at solving the equation $\sqrt{(x^2-16)^2}=9$?

Published on 16 Apr 2023 - 4:47

score 71 · Answer 4 · 2023-04-19 12:01:57

71

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Why does this method work for proving $7|m^2$ thus $7|m$ but it does not work for multiples of 4?

Published on 19 Apr 2023 - 12:01

score 231 · Answer 5 · 2023-04-27 15:59:47

231

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Perfect square of the form 12...23..34..45..56..67..78..89

Published on 27 Apr 2023 - 15:59

score 276 · Answer 6 · 2023-04-30 12:43:47

276

Views

Consider the natural numbers x, y, z that simultaneously satisfy the conditions:

Published on 30 Apr 2023 - 12:43

score 69 · Answer 7 · 2023-05-01 19:12:42

69

Views

Which integers are the sum of $k$ positive squares?

Published on 01 May 2023 - 19:12

score 120 · Answer 8 · 2026-03-28 05:22:40

120

Views

For how many numbers $1\le k\le n$ does there exist $a$, $b\in\Bbb Z$, so that $k=a^2+b^2$?

Published on 28 Mar 2026 - 5:22

score 393 · Answer 9 · 2026-03-26 13:47:58

393

Views

Under what conditions is it true that $m^2 - a$ is not a square if and only if $(m - 1)^2 < m^2 - a < m^2$, where $a>0$?

Published on 26 Mar 2026 - 13:47

score 119 · Answer 10 · 2026-03-28 05:00:42

119

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An elementary proof that there are no 4 squares in arithmetic progression

Published on 28 Mar 2026 - 5:00

score 51 · Answer 11 · 2026-03-25 03:02:46

51

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Determine the numbers a and b that check the equality $\sqrt{\overline{aba}}=(a+b-1)\cdot \sqrt{a+b}$

Published on 25 Mar 2026 - 3:02

score 62 · Answer 12 · 2026-03-30 02:06:24

62

Views

Solve $x, y \in \mathbb{R}$ given $x(12-x)+y(16-y)=100$.

Published on 30 Mar 2026 - 2:06

score 92 · Answer 13 · 2023-05-15 14:43:39

92

Views

help Find the real numbers $x,y,z$ such that $(x+y)\cdot x= \frac{a^{2}}{2}$ and $(z+y)\cdot z= \frac{b^{2}}{2}$ and $x+y+z= \frac{a+b}{\sqrt{2}}$

Published on 15 May 2023 - 14:43

score 136 · Answer 14 · 2023-05-16 07:41:27

136

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Find all two-digit prime number pairs $p$ and $q$, for which $pq+1$ is a perfect square.

Published on 16 May 2023 - 7:41

score 151 · Answer 15 · 2023-05-18 23:05:16

151

Views

Is $1!^3+2!^3+3!^3+…n!^3$ a perfect square when $n>3$?

Published on 18 May 2023 - 23:05

List Question

Algorithm to find a form of some Sum of Square

On the divisibility constraint $\sigma(q^k)/2 \nmid n$ and the Descartes spoof

What am I missing at solving the equation $\sqrt{(x^2-16)^2}=9$?

Why does this method work for proving $7|m^2$ thus $7|m$ but it does not work for multiples of 4?

Perfect square of the form 12...23..34..45..56..67..78..89

Consider the natural numbers x, y, z that simultaneously satisfy the conditions:

Which integers are the sum of $k$ positive squares?

For how many numbers $1\le k\le n$ does there exist $a$, $b\in\Bbb Z$, so that $k=a^2+b^2$?

Under what conditions is it true that $m^2 - a$ is not a square if and only if $(m - 1)^2 < m^2 - a < m^2$, where $a>0$?

An elementary proof that there are no 4 squares in arithmetic progression

Determine the numbers a and b that check the equality $\sqrt{\overline{aba}}=(a+b-1)\cdot \sqrt{a+b}$

Solve $x, y \in \mathbb{R}$ given $x(12-x)+y(16-y)=100$.

help Find the real numbers $x,y,z$ such that $(x+y)\cdot x= \frac{a^{2}}{2}$ and $(z+y)\cdot z= \frac{b^{2}}{2}$ and $x+y+z= \frac{a+b}{\sqrt{2}}$

Find all two-digit prime number pairs $p$ and $q$, for which $pq+1$ is a perfect square.

Is $1!^3+2!^3+3!^3+…n!^3$ a perfect square when $n>3$?

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