Question

Natural numbers that are square sums of four different nonzero integers

score 71 · Answer 1 · 2026-03-26 06:21:33

71

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Natural numbers that are square sums of four different nonzero integers

Published on 26 Mar 2026 - 6:21

score 183 · Answer 2 · 2019-09-07 11:30:35

183

Views

Powers of two are not sums of squares of different integers greater than zero

Published on 07 Sep 2019 - 11:30

score 77 · Answer 3 · 2019-09-09 16:03:01

77

Views

If $-1$ is a sum of squares, then any element is a sum of squares

Published on 09 Sep 2019 - 16:03

score 353 · Answer 4 · 2019-09-12 14:59:55

353

Views

Find four solutions to $p^2+1=q^2+r^2$ with primes $p$, $q$ and $r$?

Published on 12 Sep 2019 - 14:59

score 54 · Answer 5 · 2026-03-25 06:10:33

54

Views

Is there an algorithm to factor a many variable polynomial into a sum of squares?

Published on 25 Mar 2026 - 6:10

score 269 · Answer 6 · 2019-09-19 01:09:36

269

Views

Sequences where $\sum\limits_{n=k}^{\infty}{a_n}=\sum\limits_{n=k}^{\infty}{a_n^2}$

Published on 19 Sep 2019 - 1:09

score 179 · Answer 7 · 2019-09-23 08:37:35

179

Views

Comment of Gauss, on the even integer $x$, in the $p=x^2+y^2$, for primes of the form $p \stackrel{4}{\equiv} 1$

Published on 23 Sep 2019 - 8:37

score 206 · Answer 8 · 2019-09-28 15:52:04

206

Views

multiple choice question on number theory

Published on 28 Sep 2019 - 15:52

score 5.9k · Answer 9 · 2014-03-20 11:53:03

5.9k

Views

If a prime can be expressed as sum of square of two integers, then prove that the representation is unique.

Published on 20 Mar 2014 - 11:53

score 78 · Answer 10 · 2026-03-26 12:28:49

78

Views

Non negativity condition for quartic polynomials?

Published on 26 Mar 2026 - 12:28

score 3.5k · Answer 11 · 2014-04-16 11:13:56

3.5k

Views

Find three numbers given their sum, product and sum of their squares

Published on 16 Apr 2014 - 11:13

score 1.2k · Answer 12 · 2014-04-21 09:17:40

1.2k

Views

integer solutions to $x^2+y^2+z^2+t^2 = w^2$

Published on 21 Apr 2014 - 9:17

score 226 · Answer 13 · 2014-04-21 22:45:36

226

Views

When is the sum of consecutive squares a prime?

Published on 21 Apr 2014 - 22:45

score 55 · Answer 14 · 2014-05-02 02:09:26

55

Views

Find $2^{2}+4^{2}….(2n)^{2}$?

Published on 02 May 2014 - 2:09

score 8.9k · Answer 15 · 2014-05-03 16:20:58

8.9k

Views

Show that an integer of the form $8k + 7$ cannot be written as the sum of three squares.

Published on 03 May 2014 - 16:20

List Question

Natural numbers that are square sums of four different nonzero integers

Powers of two are not sums of squares of different integers greater than zero

If $-1$ is a sum of squares, then any element is a sum of squares

Find four solutions to $p^2+1=q^2+r^2$ with primes $p$, $q$ and $r$?

Is there an algorithm to factor a many variable polynomial into a sum of squares?

Sequences where $\sum\limits_{n=k}^{\infty}{a_n}=\sum\limits_{n=k}^{\infty}{a_n^2}$

Comment of Gauss, on the even integer $x$, in the $p=x^2+y^2$, for primes of the form $p \stackrel{4}{\equiv} 1$

multiple choice question on number theory

If a prime can be expressed as sum of square of two integers, then prove that the representation is unique.

Non negativity condition for quartic polynomials?

Find three numbers given their sum, product and sum of their squares

integer solutions to $x^2+y^2+z^2+t^2 = w^2$

When is the sum of consecutive squares a prime?

Find $2^{2}+4^{2}….(2n)^{2}$?

Show that an integer of the form $8k + 7$ cannot be written as the sum of three squares.

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