Question

Squares of two coprime numbers

score 3.5k · Answer 1 · 2026-05-05 05:57:38

3.5k

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Squares of two coprime numbers

Published on 05 May 2026 - 5:57

score 764 · Answer 2 · 2026-05-07 20:17:09

764

Views

Perfect Square and its multiple

Published on 07 May 2026 - 20:17

score 713 · Answer 3 · 2026-05-05 04:13:10

713

Views

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

Published on 05 May 2026 - 4:13

score 53 · Answer 4 · 2026-05-07 18:23:02

53

Views

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

Published on 07 May 2026 - 18:23

score 256 · Answer 5 · 2026-05-05 03:09:50

256

Views

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

Published on 05 May 2026 - 3:09

score 195 · Answer 6 · 2026-05-01 02:01:57

195

Views

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

Published on 01 May 2026 - 2:01

score 2.7k · Answer 7 · 2026-05-10 08:07:31

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 10 May 2026 - 8:07

score 187 · Answer 8 · 2026-05-05 04:14:46

187

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 05 May 2026 - 4:14

score 68 · Answer 9 · 2026-05-05 04:10:26

68

Views

Digits in a perfect square problem

Published on 05 May 2026 - 4:10

score 165 · Answer 10 · 2026-05-07 18:50:41

165

Views

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

Published on 07 May 2026 - 18:50

score 249 · Answer 11 · 2026-05-05 18:27:30

249

Views

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

Published on 05 May 2026 - 18:27

score 1.2k · Answer 12 · 2026-05-10 11:42:49

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 10 May 2026 - 11:42

score 106 · Answer 13 · 2026-05-10 11:42:26

106

Views

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

Published on 10 May 2026 - 11:42

score 73 · Answer 14 · 2026-05-10 11:43:38

73

Views

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

Published on 10 May 2026 - 11:43

score 428 · Answer 15 · 2026-04-29 12:44:28

428

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 29 Apr 2026 - 12:44

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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