Question

Squares of two coprime numbers

score 3.5k · Answer 1 · 2026-03-20 16:34:52

3.5k

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Squares of two coprime numbers

Published on 20 Mar 2026 - 16:34

score 755 · Answer 2 · 2026-03-20 03:51:15

755

Views

Perfect Square and its multiple

Published on 20 Mar 2026 - 3:51

score 706 · Answer 3 · 2026-03-24 12:52:52

706

Views

constraints to the hamiltonian path: can one tell if a path is hamiltonian by looking at it?

Published on 24 Mar 2026 - 12:52

score 44 · Answer 4 · 2026-03-19 23:52:58

44

Views

Is square root of $y^2$ for every $y>0,y\in\mathbb{R}$?

Published on 19 Mar 2026 - 23:52

score 251 · Answer 5 · 2026-03-20 06:13:25

251

Views

A square root should never be negative by convention or can be proved?

Published on 20 Mar 2026 - 6:13

score 188 · Answer 6 · 2026-03-23 06:03:41

188

Views

Does $x+\sqrt{x}$ ever round to a perfect square, given $x\in \mathbb{N}$?

Published on 23 Mar 2026 - 6:03

score 2.7k · Answer 7 · 2026-03-22 12:14:54

2.7k

Views

Proof verification: Let $gcd(x,y)=1$. If $xy$ is a perfect square, then $x$ and $y$ are perfect squares.

Published on 22 Mar 2026 - 12:14

score 181 · Answer 8 · 2026-03-23 08:57:53

181

Views

How to reduce calculation time for iterative functions that involve squaring a number in every iteration. Working with numbers in millions of digits

Published on 23 Mar 2026 - 8:57

score 61 · Answer 9 · 2026-03-22 12:56:04

61

Views

Digits in a perfect square problem

Published on 22 Mar 2026 - 12:56

score 157 · Answer 10 · 2026-03-19 23:09:59

157

Views

Trouble with a proof. I cannot prove this without inf many proofs for each and every case.

Published on 19 Mar 2026 - 23:09

score 241 · Answer 11 · 2026-03-20 02:20:22

241

Views

Sums of squares and then increasing the number being square: will the sum change?

Published on 20 Mar 2026 - 2:20

score 1.2k · Answer 12 · 2026-03-17 17:44:03

1.2k

Views

Prove that a number composed of only $2n$ "1"s, minus another number composed of only $n$ "2"s, is a perfect square.

Published on 17 Mar 2026 - 17:44

score 98 · Answer 13 · 2026-03-16 22:12:11

98

Views

For prime numbers $p_n$ it holds $m\equiv p_n^2\pmod {p_{n+1}}\implies$ $m$ is a square

Published on 16 Mar 2026 - 22:12

score 65 · Answer 14 · 2026-03-17 12:29:09

65

Views

All even squares are congruent with a prime square $p_n^2\pmod {p_{n+1}}$

Published on 17 Mar 2026 - 12:29

score 421 · Answer 15 · 2026-03-17 06:01:52

421

Views

On the conjecture that, for every $n$, $\lfloor e^{\frac{p_{n^2}\#}{p_{n^2 + 1}}}\rfloor $ is a square number.

Published on 17 Mar 2026 - 6:01

List Question

Squares of two coprime numbers

Perfect Square and its multiple

constraints to the hamiltonian path: can one tell if a path is hamiltonian by looking at it?

Is square root of $y^2$ for every $y>0,y\in\mathbb{R}$?

A square root should never be negative by convention or can be proved?

Does $x+\sqrt{x}$ ever round to a perfect square, given $x\in \mathbb{N}$?

Proof verification: Let $gcd(x,y)=1$. If $xy$ is a perfect square, then $x$ and $y$ are perfect squares.

How to reduce calculation time for iterative functions that involve squaring a number in every iteration. Working with numbers in millions of digits

Digits in a perfect square problem

Trouble with a proof. I cannot prove this without inf many proofs for each and every case.

Sums of squares and then increasing the number being square: will the sum change?

Prove that a number composed of only $2n$ "1"s, minus another number composed of only $n$ "2"s, is a perfect square.

For prime numbers $p_n$ it holds $m\equiv p_n^2\pmod {p_{n+1}}\implies$ $m$ is a square

All even squares are congruent with a prime square $p_n^2\pmod {p_{n+1}}$

On the conjecture that, for every $n$, $\lfloor e^{\frac{p_{n^2}\#}{p_{n^2 + 1}}}\rfloor $ is a square number.

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