List questions from square-numbers

Published on 16 Apr 2026 - 20:17

60

Views

Proving $2^n=2^m=k$ in $2^{2n}+2^m=k^2+k$

Published on 16 Apr 2026 - 16:18

150

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If $1!+2!+\dots+x!$ is a perfect square, then the number of possible values of $x$ is?

Published on 16 Apr 2026 - 9:47

54

Views

Sum of the first $3075$ squares

Published on 13 Apr 2026 - 2:05

257

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Finding the square roots of large numbers

Published on 12 Apr 2026 - 9:14

420

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Product of solutions of quadratic equations equal constant term

Published on 11 Apr 2026 - 14:03

231

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The Basel Problem, Cannonball Problem & 24-ness?

Published on 23 Apr 2026 - 9:00

2.2k

Views

Perfect square as sum of two perfect squares

Published on 10 May 2026 - 12:33

110

Views

Are there other values of $n$ that generate $p^2$?

Published on 12 Apr 2026 - 19:15

56

Views

Finding Numbers which add up to a square number

Published on 14 Apr 2026 - 1:32

107

Views

Does there exist a positive integer $k$ such that $A = 2 ^ k + 3 ^ k$ is a square number?

Published on 13 Apr 2026 - 0:10

161

Views

Are the prime-free sequences $x_{n+1}=4x_n+1$ of odd numbers in bijection with the square numbers greater than $16$?

Published on 21 Apr 2026 - 15:57

63

Views

Find all $c\in\lbrace{0,1,2,3,...\rbrace}$ such that $n^2+cn$ is a perfect square for all $n\in\mathbb{N}$.

Published on 15 Apr 2026 - 23:20

1.8k

Views

What finite groups always have a square root for each element?

Published on 12 Apr 2026 - 13:13

145

Views

Is there any way to solve this problem?

Published on 15 Apr 2026 - 15:09

List Question

When is $2^{2n+2}+2^{m+2}+1$ a perfect square?

Proving $2^n=2^m=k$ in $2^{2n}+2^m=k^2+k$

If $1!+2!+\dots+x!$ is a perfect square, then the number of possible values of $x$ is?

Sum of the first $3075$ squares

Finding the square roots of large numbers

Product of solutions of quadratic equations equal constant term

The Basel Problem, Cannonball Problem & 24-ness?

Perfect square as sum of two perfect squares

Are there other values of $n$ that generate $p^2$?

Finding Numbers which add up to a square number

Does there exist a positive integer $k$ such that $A = 2 ^ k + 3 ^ k$ is a square number?

Are the prime-free sequences $x_{n+1}=4x_n+1$ of odd numbers in bijection with the square numbers greater than $16$?

Find all $c\in\lbrace{0,1,2,3,...\rbrace}$ such that $n^2+cn$ is a perfect square for all $n\in\mathbb{N}$.

What finite groups always have a square root for each element?

Is there any way to solve this problem?

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