Question

Rule of four ? Calculate number given other 5

score 47 · Answer 1 · 2026-04-15 13:11:39

47

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Rule of four ? Calculate number given other 5

Published on 15 Apr 2026 - 13:11

score 1.3k · Answer 2 · 2026-04-15 07:39:32

1.3k

Views

Proof that a number can't be both odd and even

Published on 15 Apr 2026 - 7:39

score 123 · Answer 3 · 2026-03-25 09:26:32

123

Views

What is the remainder when $ 6^{65} $ is divided by 80?

Published on 25 Mar 2026 - 9:26

score 263 · Answer 4 · 2026-04-16 05:10:30

263

Views

How many $m$ such that : $\sum\limits_{k=1}^m \left\lfloor\frac{m}{k}\right\rfloor$ be even?

Published on 16 Apr 2026 - 5:10

score 43 · Answer 5 · 2026-04-17 13:47:37

43

Views

Proving $\forall s\in\mathbb{N},(\exists x \in\mathbb{N},s^2=3x)∨(\exists y\in\mathbb{N},s^2=3y-2)$

Published on 17 Apr 2026 - 13:47

score 137 · Answer 6 · 2026-04-16 01:43:54

137

Views

Why is $x$ always a perfect square?

Published on 16 Apr 2026 - 1:43

score 35 · Answer 7 · 2026-04-09 01:53:14

35

Views

Inverting arithmetic functions

Published on 09 Apr 2026 - 1:53

score 180 · Answer 8 · 2026-04-16 11:32:27

180

Views

Show that $(k+1) \nmid 2^{k}+1$ for any $k\in \mathbb{N}$

Published on 16 Apr 2026 - 11:32

score 953 · Answer 9 · 2026-04-09 02:01:50

953

Views

How many ordered pairs of positive integers $(x,y)$ satisfy LCM$(x,y)=400$?

Published on 09 Apr 2026 - 2:01

score 327 · Answer 10 · 2026-04-16 11:24:11

327

Views

describe the set of prime numbers that can divide integers of the form $n^2 + 1$

Published on 16 Apr 2026 - 11:24

score 94 · Answer 11 · 2026-04-17 13:17:21

94

Views

If $a_n = a_{n-1}a_{n-3} + a_{n-2}^2$, then is it always divisible by $a_{n-4}$?

Published on 17 Apr 2026 - 13:17

score 794 · Answer 12 · 2026-04-12 08:20:47

794

Views

The number $555,555$ can decompose, as the product of two factors of three digits, in how many ways?

Published on 12 Apr 2026 - 8:20

score 66 · Answer 13 · 2026-04-16 13:21:30

66

Views

For how many values of $n\in \mathbb{N}$ less than $250$, $\frac{7n-3}{8n-5}$ can be simplified

Published on 16 Apr 2026 - 13:21

score 208 · Answer 14 · 2026-04-15 03:19:25

208

Views

Is it correct to use inverse after the application of Wilson's theorem to prove $18!+1\equiv 0 \pmod {23}$?

Published on 15 Apr 2026 - 3:19

score 94 · Answer 15 · 2026-04-15 06:26:28

94

Views

Find the inverse of $359 \bmod 457.$

Published on 15 Apr 2026 - 6:26

List Question

Rule of four ? Calculate number given other 5

Proof that a number can't be both odd and even

What is the remainder when $ 6^{65} $ is divided by 80?

How many $m$ such that : $\sum\limits_{k=1}^m \left\lfloor\frac{m}{k}\right\rfloor$ be even?

Proving $\forall s\in\mathbb{N},(\exists x \in\mathbb{N},s^2=3x)∨(\exists y\in\mathbb{N},s^2=3y-2)$

Why is $x$ always a perfect square?

Inverting arithmetic functions

Show that $(k+1) \nmid 2^{k}+1$ for any $k\in \mathbb{N}$

How many ordered pairs of positive integers $(x,y)$ satisfy LCM$(x,y)=400$?

describe the set of prime numbers that can divide integers of the form $n^2 + 1$

If $a_n = a_{n-1}a_{n-3} + a_{n-2}^2$, then is it always divisible by $a_{n-4}$?

The number $555,555$ can decompose, as the product of two factors of three digits, in how many ways?

For how many values of $n\in \mathbb{N}$ less than $250$, $\frac{7n-3}{8n-5}$ can be simplified

Is it correct to use inverse after the application of Wilson's theorem to prove $18!+1\equiv 0 \pmod {23}$?

Find the inverse of $359 \bmod 457.$

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