List questions from sums-of-squares

Published on 08 Aug 2017 - 18:39

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A conjecture about an unlimited path

Published on 11 Aug 2017 - 18:26

399

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Yet an other conjecture about odd numbers $n=a+b$ such that $a^2+b^2$ is prime

Published on 13 Aug 2017 - 12:04

703

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ANOVA: What are the values SSW, SSB and the test statistics?

Published on 14 Aug 2017 - 10:56

76

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Why $a^4 + b^4$ ($a, b$ are positive integers) is not a perfect square?

Published on 14 Aug 2017 - 11:15

89

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Hard for-all-integer-problems proveable for very great integer limits

Published on 18 Aug 2017 - 10:07

90

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Any integer is of the form $n=a_1^2+a_2^2+a_3^2-a_4^2-a_5^2$

Published on 19 Aug 2017 - 7:48

241

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Most even numbers is a sum $a+b+c+d$ where $a^2+b^2+c^2=d^2$

Published on 19 Aug 2017 - 10:21

107

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$\forall n \in \mathbb{N}_{>5}\implies\exists (a,b)\in \mathbb Z^+:a^2+b^2\notin\mathbb P\;\wedge\;n=a+b$

Published on 22 Aug 2017 - 6:14

140

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Even numbers has the form $a+b$ where $\frac{a^2+b^2}{2}$ is prime

Published on 30 Aug 2017 - 5:42

120

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$\{a+b|a,b\in\mathbb N^+\wedge ma^2+nb^2\in\mathbb P\}=\{k>1|\gcd(k,m+n)=1\}$

Published on 30 Aug 2017 - 20:12

3.8k

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Put quadratic form into sum of squares

Published on 04 Sep 2017 - 2:07

60

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Bivariate Form Sum of Squares

Published on 25 Mar 2026 - 15:50

57

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Explain the following derivation

Published on 09 Sep 2017 - 7:56

87

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$\sum_{n=1}^{2017}\left(\left((n+2)^4\bmod{(n+1)^4}\right)\bmod{4}\right)$

Published on 09 Sep 2017 - 17:02

List Question

Are there 4 consecutive numbers that are each the sum of 2 squares?

A conjecture about an unlimited path

Yet an other conjecture about odd numbers $n=a+b$ such that $a^2+b^2$ is prime

ANOVA: What are the values SSW, SSB and the test statistics?

Why $a^4 + b^4$ ($a, b$ are positive integers) is not a perfect square?

Hard for-all-integer-problems proveable for very great integer limits

Any integer is of the form $n=a_1^2+a_2^2+a_3^2-a_4^2-a_5^2$

Most even numbers is a sum $a+b+c+d$ where $a^2+b^2+c^2=d^2$

$\forall n \in \mathbb{N}_{>5}\implies\exists (a,b)\in \mathbb Z^+:a^2+b^2\notin\mathbb P\;\wedge\;n=a+b$

Even numbers has the form $a+b$ where $\frac{a^2+b^2}{2}$ is prime

$\{a+b|a,b\in\mathbb N^+\wedge ma^2+nb^2\in\mathbb P\}=\{k>1|\gcd(k,m+n)=1\}$

Put quadratic form into sum of squares

Bivariate Form Sum of Squares

Explain the following derivation

$\sum_{n=1}^{2017}\left(\left((n+2)^4\bmod{(n+1)^4}\right)\bmod{4}\right)$

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