List questions from square-numbers

Published on 27 Oct 2013 - 1:35

157

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perfect squares possible?

Published on 29 Oct 2013 - 20:17

70.2k

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How to find all perfect squares in a given range of numbers?

Published on 01 Nov 2013 - 15:33

850

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When is a number like "ddd...ddd"+1 (where d is a digit) a perfect square or a prime?

Published on 26 Mar 2026 - 13:02

400

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Exponentiation by squaring

Published on 12 Nov 2013 - 10:52

136

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Is raising a value to the second power the same as multiplying it it's complex conjugate?

Published on 01 Apr 2026 - 15:06

692

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Weighted sum of squares, in a finite field

Published on 29 Mar 2026 - 5:35

1.2k

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Algorithm to find solution to $ax^2 + by^2 = 1$ in a finite field

Published on 29 Mar 2026 - 5:35

275

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4 squares almost in an arithmetic progression

Published on 26 Mar 2026 - 7:56

90

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A four-digit square is of the form $aabb$. What's $a^2+b^2$?

Published on 29 Mar 2026 - 5:35

158

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How to prove that $a.b.c.d + {( b - a )}^{4} $ is square of a natural number ( a , b ,c , d are four consecutive elements of an arithmetic sequence)

Published on 15 Dec 2013 - 16:25

837

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Prove that no $n,m, 0<n<m$ exist such that $m^2 +mn+n^2$ is a square number

Published on 29 Mar 2026 - 5:35

378

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squares which are not the sum of a square and twice a triangular number

Published on 29 Mar 2026 - 5:35

113

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Prove that for all $a,b\in\mathbb Z$ of opposite parity there exists a number $c\in\mathbb Z$ such that $c+ab$, $c+a$ and $c+b$ are perfect squares.

Published on 28 Dec 2013 - 1:41

162

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How can I prove that it is not a perfect square?

Published on 28 Dec 2013 - 7:01

List Question

Perfect square given by ${r}^{2}+u\,r+v$, where r is variable and u,v are constants

perfect squares possible?

How to find all perfect squares in a given range of numbers?

When is a number like "ddd...ddd"+1 (where d is a digit) a perfect square or a prime?

Exponentiation by squaring

Is raising a value to the second power the same as multiplying it it's complex conjugate?

Weighted sum of squares, in a finite field

Algorithm to find solution to $ax^2 + by^2 = 1$ in a finite field

4 squares almost in an arithmetic progression

A four-digit square is of the form $aabb$. What's $a^2+b^2$?

How to prove that $a.b.c.d + {( b - a )}^{4} $ is square of a natural number ( a , b ,c , d are four consecutive elements of an arithmetic sequence)

Prove that no $n,m, 0<n<m$ exist such that $m^2 +mn+n^2$ is a square number

squares which are not the sum of a square and twice a triangular number

Prove that for all $a,b\in\mathbb Z$ of opposite parity there exists a number $c\in\mathbb Z$ such that $c+ab$, $c+a$ and $c+b$ are perfect squares.

How can I prove that it is not a perfect square?

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