List questions from sums-of-squares

Published on 26 Mar 2026 - 9:49

114

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The sum of the squares of $5$ consecutive primes is again prime. True for infinite many quintuples?

Published on 11 Sep 2017 - 11:53

278

Views

Standalone proof of a conditional part of Lagrange’s Four-Square Theorem?

Published on 28 Mar 2026 - 11:33

75

Views

Proof algorithm to find representations as sum of two squares

Published on 25 Sep 2017 - 9:58

382

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Primes dividing sums of squares but not dividing any of summands

Published on 01 Oct 2017 - 12:09

1.3k

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Can we prove a stronger claim?

Published on 01 Oct 2017 - 13:09

389

Views

Solve $32x^2 -y^2 = 448$

Published on 04 Oct 2017 - 13:05

4.3k

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Value of $(\alpha^2+1)(\beta^2+1)(\gamma^2+1)(\delta^2+1)$ if $z^4-2z^3+z^2+z-7=0$ for $z=\alpha$, $\beta$, $\gamma$, $\delta$

Published on 08 Oct 2017 - 16:20

214

Views

How to prove that $21\mid a^2+b^2\Rightarrow 441 \mid a^2 + b^2$

Published on 11 Oct 2017 - 9:06

116

Views

On sum of two squares

Published on 11 Oct 2017 - 9:14

69

Views

Arithmetic progression of four square number with the same common difference

Published on 13 Oct 2017 - 8:23

197

Views

Find two arithmetic progressions of three square numbers

Published on 13 Oct 2017 - 15:38

138

Views

Solving a Quadratic Ternary Form with Large Coefficients

Published on 20 Oct 2017 - 22:00

2k

Views

How to compute SSR with just residuals and Xi?

Published on 24 Oct 2017 - 3:10

265

Views

Minimum over Probability Measures

Published on 27 Oct 2017 - 13:45

List Question

A simple explanation to this asymmetry?

The sum of the squares of $5$ consecutive primes is again prime. True for infinite many quintuples?

Standalone proof of a conditional part of Lagrange’s Four-Square Theorem?

Proof algorithm to find representations as sum of two squares

Primes dividing sums of squares but not dividing any of summands

Can we prove a stronger claim?

Solve $32x^2 -y^2 = 448$

Value of $(\alpha^2+1)(\beta^2+1)(\gamma^2+1)(\delta^2+1)$ if $z^4-2z^3+z^2+z-7=0$ for $z=\alpha$, $\beta$, $\gamma$, $\delta$

How to prove that $21\mid a^2+b^2\Rightarrow 441 \mid a^2 + b^2$

On sum of two squares

Arithmetic progression of four square number with the same common difference

Find two arithmetic progressions of three square numbers

Solving a Quadratic Ternary Form with Large Coefficients

How to compute SSR with just residuals and Xi?

Minimum over Probability Measures

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