Question

How to tell if $\sqrt{e^x}$ is an integer?

score 84 · Answer 1 · 2016-02-17 06:47:00

84

Views

How to tell if $\sqrt{e^x}$ is an integer?

Published on 17 Feb 2016 - 6:47

score 97 · Answer 2 · 2016-02-19 12:42:33

97

Views

How to write -1 as a square in a finite field of characteristic 2

Published on 19 Feb 2016 - 12:42

score 48 · Answer 3 · 2026-03-29 23:48:15

48

Views

If $\sigma _{1}(n)\mid \sigma _{2}(n)$, does $n$ has to be a perfect square?

Published on 29 Mar 2026 - 23:48

score 1.9k · Answer 4 · 2016-02-22 13:10:30

1.9k

Views

What is the largest six-digit number with an odd number of positive factors?

Published on 22 Feb 2016 - 13:10

score 136 · Answer 5 · 2016-02-24 18:53:51

136

Views

Is there a general method to determine the [non-]solutions to $ax^4+bx^2+c=y^2$?

Published on 24 Feb 2016 - 18:53

score 168 · Answer 6 · 2016-02-27 06:26:42

168

Views

How to find two square roots whose difference is greater than one.

Published on 27 Feb 2016 - 6:26

score 4.8k · Answer 7 · 2016-02-28 23:33:25

4.8k

Views

For which $n$ can $\{1,2,...,n\}$ be rearranged so that the sum of each two adjacent terms is a perfect square?

Published on 28 Feb 2016 - 23:33

score 74 · Answer 8 · 2016-03-03 04:37:15

74

Views

How to graph a Quadratic equation.

Published on 03 Mar 2016 - 4:37

score 438 · Answer 9 · 2016-03-03 20:22:32

438

Views

For $p$ some prime, prove that $7p + 3^p - 4$ can never be a perfect square of a integer.

Published on 03 Mar 2016 - 20:22

score 310 · Answer 10 · 2016-03-04 17:55:13

310

Views

Is there a perfect square in the sequence $6, 96, 996, 9996, ... , 99999...996, ...$?

Published on 04 Mar 2016 - 17:55

score 195 · Answer 11 · 2016-03-05 19:43:37

195

Views

Recall that an integer is said to be square-free if it is not divisible by the square of any prime. Prove that for any positive integer $n$...

Published on 05 Mar 2016 - 19:43

score 218 · Answer 12 · 2016-03-07 10:01:06

218

Views

If $\frac1x-\frac1y=\frac1z$, $d=\gcd(x,y,z)$ then $dxyz$ and $d(y-x)$ are squares

Published on 07 Mar 2016 - 10:01

score 133 · Answer 13 · 2016-03-07 14:46:01

133

Views

How many tokens would person A have under these conditions?

Published on 07 Mar 2016 - 14:46

score 951 · Answer 14 · 2016-03-07 22:24:01

951

Views

Square root fraction confusion

Published on 07 Mar 2016 - 22:24

score 74 · Answer 15 · 2016-03-08 16:14:37

74

Views

Proving that $z^4-6z^2+4z-3 = y^2$ has only one integer solution

Published on 08 Mar 2016 - 16:14

List Question

How to tell if $\sqrt{e^x}$ is an integer?

How to write -1 as a square in a finite field of characteristic 2

If $\sigma _{1}(n)\mid \sigma _{2}(n)$, does $n$ has to be a perfect square?

What is the largest six-digit number with an odd number of positive factors?

Is there a general method to determine the [non-]solutions to $ax^4+bx^2+c=y^2$?

How to find two square roots whose difference is greater than one.

For which $n$ can $\{1,2,...,n\}$ be rearranged so that the sum of each two adjacent terms is a perfect square?

How to graph a Quadratic equation.

For $p$ some prime, prove that $7p + 3^p - 4$ can never be a perfect square of a integer.

Is there a perfect square in the sequence $6, 96, 996, 9996, ... , 99999...996, ...$?

Recall that an integer is said to be square-free if it is not divisible by the square of any prime. Prove that for any positive integer $n$...

If $\frac1x-\frac1y=\frac1z$, $d=\gcd(x,y,z)$ then $dxyz$ and $d(y-x)$ are squares

How many tokens would person A have under these conditions?

Square root fraction confusion

Proving that $z^4-6z^2+4z-3 = y^2$ has only one integer solution

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