Question

Find all prime numbers $y$ and $z$ if $x$ is an integer and $x^2-y^2-z^2=2017.$

score 57 · Answer 1 · 2026-03-28 00:06:17

57

Views

Find all prime numbers $y$ and $z$ if $x$ is an integer and $x^2-y^2-z^2=2017.$

Published on 28 Mar 2026 - 0:06

score 271 · Answer 2 · 2017-01-22 14:44:11

271

Views

Arithmetic progression and square numbers

Published on 22 Jan 2017 - 14:44

score 1.4k · Answer 3 · 2017-01-22 21:50:29

1.4k

Views

Is $-1$ a perfect square?

Published on 22 Jan 2017 - 21:50

score 148 · Answer 4 · 2017-01-24 18:16:24

148

Views

Can one find a set of four positive integers in which the product of any two distinct integers is a perfect square plus one?

Published on 24 Jan 2017 - 18:16

score 2.2k · Answer 5 · 2026-03-28 00:06:01

2.2k

Views

Show that $x^2+y^2+z^2=999$ has no integer solutions

Published on 28 Mar 2026 - 0:06

score 125 · Answer 6 · 2017-01-26 10:51:59

125

Views

Weird limit: $\lim_{n\to\infty}\left(\frac{f(1)+f(2)+...+f(n)}{n}\right)^n$

Published on 26 Jan 2017 - 10:51

score 206 · Answer 7 · 2017-01-26 18:12:11

206

Views

Prove $a = 2 \cdot 10^{2016} + 16$ cannot be a perfect square

Published on 26 Jan 2017 - 18:12

score 157 · Answer 8 · 2017-01-28 13:35:40

157

Views

Find $x$ positive integer such that $x^4+x^3+x^2+x+1$ is a perfect square

Published on 28 Jan 2017 - 13:35

score 174 · Answer 9 · 2026-03-28 01:46:16

174

Views

Is $7m^2-3n^2$ a perfect square?

Published on 28 Mar 2026 - 1:46

score 64k · Answer 10 · 2017-01-30 14:19:39

64k

Views

Prove that the square root of a positive integer is either an integer or irrational

Published on 30 Jan 2017 - 14:19

score 181 · Answer 11 · 2017-02-03 13:23:30

181

Views

If:$(\sqrt{x + 9})^{\frac{1}{3}} - (\sqrt{x-9})^{\frac{1}{3}} = 3$, Find $x^2$

Published on 03 Feb 2017 - 13:23

score 4.3k · Answer 12 · 2026-03-28 01:48:50

4.3k

Views

Find the value of: $\frac{\sqrt{45} + \sqrt{18}} {\sqrt{7+2\sqrt{10}}}$

Published on 28 Mar 2026 - 1:48

score 59 · Answer 13 · 2017-02-13 14:19:09

59

Views

How do I Simplify a radical expressions

Published on 13 Feb 2017 - 14:19

score 615 · Answer 14 · 2026-03-27 01:00:10

615

Views

If $\gcd(x,y)=1$, and $x^2 + y^2$ is a perfect sixth power, then $xy$ is a multiple of $11$

Published on 27 Mar 2026 - 1:00

score 45 · Answer 15 · 2017-02-17 03:02:44

45

Views

Variables and square number problem

Published on 17 Feb 2017 - 3:02

List Question

Find all prime numbers $y$ and $z$ if $x$ is an integer and $x^2-y^2-z^2=2017.$

Arithmetic progression and square numbers

Is $-1$ a perfect square?

Can one find a set of four positive integers in which the product of any two distinct integers is a perfect square plus one?

Show that $x^2+y^2+z^2=999$ has no integer solutions

Weird limit: $\lim_{n\to\infty}\left(\frac{f(1)+f(2)+...+f(n)}{n}\right)^n$

Prove $a = 2 \cdot 10^{2016} + 16$ cannot be a perfect square

Find $x$ positive integer such that $x^4+x^3+x^2+x+1$ is a perfect square

Is $7m^2-3n^2$ a perfect square?

Prove that the square root of a positive integer is either an integer or irrational

If:$(\sqrt{x + 9})^{\frac{1}{3}} - (\sqrt{x-9})^{\frac{1}{3}} = 3$, Find $x^2$

Find the value of: $\frac{\sqrt{45} + \sqrt{18}} {\sqrt{7+2\sqrt{10}}}$

How do I Simplify a radical expressions

If $\gcd(x,y)=1$, and $x^2 + y^2$ is a perfect sixth power, then $xy$ is a multiple of $11$

Variables and square number problem

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