List questions from square-numbers

Published on 08 May 2020 - 3:05

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prove that has infnitely many natural solutions.

Published on 08 May 2020 - 17:10

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$a^2+nb$ and $b^2+na$ are both squares

Published on 10 May 2020 - 15:58

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Inequality who involve squares

Published on 27 Mar 2026 - 16:00

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When is a quadratic polynomial over a ring a square?

Published on 14 May 2020 - 1:03

502

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Can a perfect square be only an integer number?

Published on 14 May 2020 - 6:33

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Pairs of Squares with repunit difference -- mistake by Selfridge and Lacampagne?

Published on 23 Feb 2026 - 8:33

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Name of the phenomenon: square of previous number + odd number = square of the next number

Published on 17 May 2020 - 21:21

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How to find square root of a number in base $B$?

Published on 20 May 2020 - 5:34

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How to check if ratio of 2 numbers is a perfect square without actually finding the ratio?

Published on 20 May 2020 - 6:44

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Given that $n^4-4n^3+14n^2-20n+10$ is a perfect square, find all integers n that satisfy the condition

Published on 24 May 2020 - 18:56

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for which pairs of integers $(n,k), n>1$ we could have $\phi(n(n+1)(4n-1))=12 \phi(k^2)$?

Published on 27 Mar 2026 - 20:21

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Polynomial square rule for a big polynomial

Published on 28 Mar 2026 - 2:03

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Find integer $x\neq 0$ such that $120x+1,160x+1,240x+1$ are perfect square

Published on 26 Mar 2026 - 17:37

180

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An alternate motivation 1988 IMO question #6 (the infamous one)

Published on 06 Jun 2020 - 9:10

List Question

Name for numbers of the form (x)(x±1)

prove that has infnitely many natural solutions.

$a^2+nb$ and $b^2+na$ are both squares

Inequality who involve squares

When is a quadratic polynomial over a ring a square?

Can a perfect square be only an integer number?

Pairs of Squares with repunit difference -- mistake by Selfridge and Lacampagne?

Name of the phenomenon: square of previous number + odd number = square of the next number

How to find square root of a number in base $B$?

How to check if ratio of 2 numbers is a perfect square without actually finding the ratio?

Given that $n^4-4n^3+14n^2-20n+10$ is a perfect square, find all integers n that satisfy the condition

for which pairs of integers $(n,k), n>1$ we could have $\phi(n(n+1)(4n-1))=12 \phi(k^2)$?

Polynomial square rule for a big polynomial

Find integer $x\neq 0$ such that $120x+1,160x+1,240x+1$ are perfect square

An alternate motivation 1988 IMO question #6 (the infamous one)

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