List questions from square-numbers

Published on 29 Jul 2022 - 19:44

267

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Product of $i^4+4$ is a perfect square

Published on 31 Jul 2022 - 3:56

25

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Do we have a certain inequality relating to square-difference -free sets?

Published on 01 Aug 2022 - 13:37

175

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What is the "most proportionate" perfect squared square?

Published on 23 Feb 2026 - 6:18

162

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Proving $b^n-1$ is not a perfect square for any $b, n \geq 2$

Published on 30 Mar 2026 - 7:08

96

Views

What does $\sum_{i_1=1}^n\sum_{i_2=1}^{i_1}\cdots \sum_{i_k=1}^{i_{k-1}} i_k^2$ equal?

Published on 25 Mar 2026 - 15:53

138

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Is there a positive integer $d$ in existence$?$

Published on 14 Aug 2022 - 11:26

49

Views

Prove that if the expression is an integer then it is also a square number

Published on 15 Aug 2022 - 6:52

41

Views

Constructing every pair of two square numbers with fixed sum

Published on 23 Feb 2026 - 13:06

98

Views

Finding Lattice points on a Cubic

Published on 26 Mar 2026 - 16:57

96

Views

Squares ending in 6: Why do they have this in common?

Published on 19 Sep 2022 - 7:24

266

Views

Show absolute value of determinant of a prime matrix is a perfect square.

Published on 19 Sep 2022 - 18:00

186

Views

What is the density of "powerful" or "squareful" numbers?

Published on 20 Sep 2022 - 16:54

40

Views

Recursive digital sums of square integers

Published on 01 Oct 2022 - 11:58

29

Views

Exam Question some confusion?

Published on 01 Oct 2022 - 16:33

List Question

When is $c^4+4bc^3-4b^4$ an integer square?

Product of $i^4+4$ is a perfect square

Do we have a certain inequality relating to square-difference -free sets?

What is the "most proportionate" perfect squared square?

Proving $b^n-1$ is not a perfect square for any $b, n \geq 2$

What does $\sum_{i_1=1}^n\sum_{i_2=1}^{i_1}\cdots \sum_{i_k=1}^{i_{k-1}} i_k^2$ equal?

Is there a positive integer $d$ in existence$?$

Prove that if the expression is an integer then it is also a square number

Constructing every pair of two square numbers with fixed sum

Finding Lattice points on a Cubic

Squares ending in 6: Why do they have this in common?

Show absolute value of determinant of a prime matrix is a perfect square.

What is the density of "powerful" or "squareful" numbers?

Recursive digital sums of square integers

Exam Question some confusion?

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