Question

Natural numbers that are square sums of four different nonzero integers

score 73 · Answer 1 · 2026-04-11 18:29:30

73

Views

Natural numbers that are square sums of four different nonzero integers

Published on 11 Apr 2026 - 18:29

score 185 · Answer 2 · 2026-03-31 03:13:17

185

Views

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

Published on 31 Mar 2026 - 3:13

score 80 · Answer 3 · 2026-04-11 21:24:43

80

Views

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

Published on 11 Apr 2026 - 21:24

score 356 · Answer 4 · 2026-04-16 12:06:26

356

Views

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

Published on 16 Apr 2026 - 12:06

score 55 · Answer 5 · 2026-05-10 20:14:24

55

Views

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

Published on 10 May 2026 - 20:14

score 272 · Answer 6 · 2026-04-15 23:54:03

272

Views

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

Published on 15 Apr 2026 - 23:54

score 182 · Answer 7 · 2026-04-16 17:06:38

182

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 16 Apr 2026 - 17:06

score 211 · Answer 8 · 2026-04-17 02:34:14

211

Views

multiple choice question on number theory

Published on 17 Apr 2026 - 2:34

score 5.9k · Answer 9 · 2026-04-15 18:46:34

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 15 Apr 2026 - 18:46

score 79 · Answer 10 · 2026-05-10 18:57:47

79

Views

Non negativity condition for quartic polynomials?

Published on 10 May 2026 - 18:57

score 3.5k · Answer 11 · 2026-04-11 16:14:58

3.5k

Views

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

Published on 11 Apr 2026 - 16:14

score 1.2k · Answer 12 · 2026-04-17 12:54:59

1.2k

Views

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

Published on 17 Apr 2026 - 12:54

score 229 · Answer 13 · 2026-04-10 14:16:34

229

Views

When is the sum of consecutive squares a prime?

Published on 10 Apr 2026 - 14:16

score 58 · Answer 14 · 2026-05-10 14:28:04

58

Views

Find $2^{2}+4^{2}….(2n)^{2}$?

Published on 10 May 2026 - 14:28

score 8.9k · Answer 15 · 2026-04-10 18:22:16

8.9k

Views

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

Published on 10 Apr 2026 - 18:22

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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