Question

Establishing infinitely many primes of the form $4k+1$.

score 405 · Answer 1 · 2020-09-14 11:23:30

405

Views

Establishing infinitely many primes of the form $4k+1$.

Published on 14 Sep 2020 - 11:23

score 63 · Answer 2 · 2020-09-14 16:46:56

63

Views

How many values of $x\in\mathbb Z^+,x<99$ are there such that $m,n\in\mathbb Z$ and $m^2-n^2=x$ is possible?

Published on 14 Sep 2020 - 16:46

score 201 · Answer 3 · 2026-04-02 02:55:44

201

Views

Generalizing $\,r(n^2) = r(n)^2,\,$ for $\,r(n) := $ reverse the digits of $n$

Published on 02 Apr 2026 - 2:55

score 85 · Answer 4 · 2020-09-19 15:39:23

85

Views

An expression in rational numbers $x, y,$ and $z$: Why is it a square of a rational number?

Published on 19 Sep 2020 - 15:39

score 236 · Answer 5 · 2020-09-20 13:36:57

236

Views

In which base $b$ is $(374)_b$ a perfect square?

Published on 20 Sep 2020 - 13:36

score 80 · Answer 6 · 2020-09-27 02:42:37

80

Views

Finding the magic number as following

Published on 27 Sep 2020 - 2:42

score 97 · Answer 7 · 2020-09-29 06:41:25

97

Views

How do I prove 8(x)! + (2x-1)² where x is an integer greater than or equal to 3, is never a perfect square.

Published on 29 Sep 2020 - 6:41

score 161 · Answer 8 · 2020-10-06 03:04:18

161

Views

When is $k^4-24k+16$ a perfect square.

Published on 06 Oct 2020 - 3:04

score 133 · Answer 9 · 2026-02-23 12:00:24

133

Views

Doubt about whether repunits are square

Published on 23 Feb 2026 - 12:00

score 754 · Answer 10 · 2020-10-09 23:28:26

754

Views

Prove that there exists no natural number $x$ such that $x^2-6$ is a perfect square

Published on 09 Oct 2020 - 23:28

score 447 · Answer 11 · 2020-10-18 20:23:48

447

Views

Find all natural numbers $n$ for which the equation $x(x+n)=y^2$ does not have any solutions over the positive integers

Published on 18 Oct 2020 - 20:23

score 1.1k · Answer 12 · 2020-10-20 18:08:53

1.1k

Views

How many $N$ in $[100,400]$ such that $N^N$ is perfect square?

Published on 20 Oct 2020 - 18:08

score 494 · Answer 13 · 2020-10-21 13:56:29

494

Views

Sum of digits of square number raised to itself

Published on 21 Oct 2020 - 13:56

score 105 · Answer 14 · 2020-10-24 10:33:23

105

Views

Proof of observations on natural numbers being expressed as differences of squares.

Published on 24 Oct 2020 - 10:33

score 386 · Answer 15 · 2020-10-25 00:44:11

386

Views

How to Factor Out a Binomial From a Perfect Square Trinomial

Published on 25 Oct 2020 - 0:44

List Question

Establishing infinitely many primes of the form $4k+1$.

How many values of $x\in\mathbb Z^+,x<99$ are there such that $m,n\in\mathbb Z$ and $m^2-n^2=x$ is possible?

Generalizing $\,r(n^2) = r(n)^2,\,$ for $\,r(n) := $ reverse the digits of $n$

An expression in rational numbers $x, y,$ and $z$: Why is it a square of a rational number?

In which base $b$ is $(374)_b$ a perfect square?

Finding the magic number as following

How do I prove 8(x)! + (2x-1)² where x is an integer greater than or equal to 3, is never a perfect square.

When is $k^4-24k+16$ a perfect square.

Doubt about whether repunits are square

Prove that there exists no natural number $x$ such that $x^2-6$ is a perfect square

Find all natural numbers $n$ for which the equation $x(x+n)=y^2$ does not have any solutions over the positive integers

How many $N$ in $[100,400]$ such that $N^N$ is perfect square?

Sum of digits of square number raised to itself

Proof of observations on natural numbers being expressed as differences of squares.

How to Factor Out a Binomial From a Perfect Square Trinomial

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