List questions from square-numbers

Published on 29 Oct 2018 - 17:52

148

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Find all natural numbers $n$ such that $2n+1$ and $3n+1$ are square numbers and $2n+9$ is a prime.

Published on 31 Oct 2018 - 10:32

402

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What are perfect squares in general rings?

Published on 01 Nov 2018 - 21:51

33

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Analogies and relations between evenness and squareness in arbitrary rings

Published on 01 Nov 2018 - 22:30

67

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Consecutive Square Numbers divided by Consecutive Odd Numbers

Published on 08 Nov 2018 - 0:00

53

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Factors of Square Numbers

Published on 10 Nov 2018 - 20:29

219

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Sum of divisors mod 8

Published on 12 Nov 2018 - 21:50

55

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Diophantine equation: solving $a^2+4n=b^2$

Published on 26 Nov 2018 - 12:34

73

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Is a number written in the square root/fraction form called a non-integer even if it can be simplified to an integer

Published on 27 Nov 2018 - 21:03

187

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Formula to compute partial sums of the Basel problem?

Published on 27 Nov 2018 - 23:18

336

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When I complete the square on $3x^2 - 12x + 14$ I get an imaginary number, where have I gone wrong?

Published on 25 Mar 2026 - 12:17

266

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Quick! Prove that $3^{15}+37$ is a square.

Published on 25 Mar 2026 - 6:08

63

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Algebra - Square of natural numbers

Published on 04 Dec 2018 - 10:23

68

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Can a sum of $n$ consecutive perfect squares be written as a sum of $n-1$ different perfect squares?

Published on 11 Dec 2018 - 22:08

185

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How do you find $x$ such as $y \leq \sqrt{2x-x^2}$?

Published on 15 Dec 2018 - 20:21

List Question

Primes of the form $p=2a^2-1$ satisfying $p^2=2b^2-1$.

Find all natural numbers $n$ such that $2n+1$ and $3n+1$ are square numbers and $2n+9$ is a prime.

What are perfect squares in general rings?

Analogies and relations between evenness and squareness in arbitrary rings

Consecutive Square Numbers divided by Consecutive Odd Numbers

Factors of Square Numbers

Sum of divisors mod 8

Diophantine equation: solving $a^2+4n=b^2$

Is a number written in the square root/fraction form called a non-integer even if it can be simplified to an integer

Formula to compute partial sums of the Basel problem?

When I complete the square on $3x^2 - 12x + 14$ I get an imaginary number, where have I gone wrong?

Quick! Prove that $3^{15}+37$ is a square.

Algebra - Square of natural numbers

Can a sum of $n$ consecutive perfect squares be written as a sum of $n-1$ different perfect squares?

How do you find $x$ such as $y \leq \sqrt{2x-x^2}$?

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