List questions from square-numbers

Published on 28 Mar 2026 - 17:41

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$(a+b)^2+4ab$ and $a^2+b^2$ are both squares

Published on 03 Dec 2015 - 22:04

56

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Impossible form of a triangular number

Published on 28 Mar 2026 - 1:14

158

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Dividing the squares $1^2,2^2,\ldots,54^2$ into three equal groups with the same total sum

Published on 28 Mar 2026 - 15:55

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There is no square number that is $3 \mod 4$

Published on 30 Mar 2026 - 15:29

160

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My lucky number

Published on 30 Mar 2026 - 4:54

568

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Is it true that if any two of $m$, $n$, and $mn$ are sums of two integer squares, then so is the third?

Published on 14 Dec 2015 - 18:36

67

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Number of values in square root in different cases

Published on 15 Dec 2015 - 19:51

69

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A Game on Triangular and Square Numbers

Published on 25 Dec 2015 - 10:52

297

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If $x-y = 5y^2 - 4x^2$, prove that $x-y$ is perfect square

Published on 26 Dec 2015 - 13:07

143

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More efficient method of computing the square root of $-1 \mod p$

Published on 31 Mar 2026 - 14:24

2k

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How to find product of factors of a number if the factors are perfect square?

Published on 08 Jan 2016 - 13:43

70

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Does every linear integer polynomial give a square at some integer?

Published on 28 Mar 2026 - 19:30

127

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Is it true that for every $k\in\mathbb N$ , there exist infinitely many $n \in \mathbb N$ such that $kn+1 , (k+1)n+1$ both are perfect squares ?

Published on 29 Mar 2026 - 4:44

197

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Integer solutions for $\lceil{\sqrt{x!}}\rceil^2 - x! = y^2$

Published on 14 Jan 2016 - 13:29

List Question

$Dm^2 - n^2D^2$ is a perfect square then $D$ is the sum of two squares

$(a+b)^2+4ab$ and $a^2+b^2$ are both squares

Impossible form of a triangular number

Dividing the squares $1^2,2^2,\ldots,54^2$ into three equal groups with the same total sum

There is no square number that is $3 \mod 4$

My lucky number

Is it true that if any two of $m$, $n$, and $mn$ are sums of two integer squares, then so is the third?

Number of values in square root in different cases

A Game on Triangular and Square Numbers

If $x-y = 5y^2 - 4x^2$, prove that $x-y$ is perfect square

More efficient method of computing the square root of $-1 \mod p$

How to find product of factors of a number if the factors are perfect square?

Does every linear integer polynomial give a square at some integer?

Is it true that for every $k\in\mathbb N$ , there exist infinitely many $n \in \mathbb N$ such that $kn+1 , (k+1)n+1$ both are perfect squares ?

Integer solutions for $\lceil{\sqrt{x!}}\rceil^2 - x! = y^2$

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