Question

Can the identity $ab=\gcd(a,b)\text{lcm}(a,b)$ be recovered from this category?

score 704 · Answer 1 · 2026-04-12 17:52:11

704

Views

Can the identity $ab=\gcd(a,b)\text{lcm}(a,b)$ be recovered from this category?

Published on 12 Apr 2026 - 17:52

score 1.1k · Answer 2 · 2015-08-20 00:03:32

1.1k

Views

Prove that it is NOT true that for every integer $n$, 60 divides $n$ if and only if 6 divides $n$ and 10 divides $n$.

Published on 20 Aug 2015 - 0:03

score 47 · Answer 3 · 2026-04-10 23:33:54

47

Views

Modular Arithmetic Divisibility

Published on 10 Apr 2026 - 23:33

score 106 · Answer 4 · 2026-03-26 22:14:50

106

Views

Irrationality of ${5^{1/7}}$

Published on 26 Mar 2026 - 22:14

score 2k · Answer 5 · 2015-08-23 05:20:26

2k

Views

Guessing how many times a smaller number goes into bigger number

Published on 23 Aug 2015 - 5:20

score 288 · Answer 6 · 2015-08-23 08:55:50

Direct proof divisibility: Suppose $x$ is an integer such that $2 \cdot 3 \cdot 4 \cdot 5 \cdot x = 59 \cdot 58 \cdot 57 \cdot 56 \cdot 55$

score 33 · Answer 7 · 2015-08-23 18:43:33

33

Views

$t > 0 $ is the least common multiple of $a, b$ (not both $0$) iff $a, b \mid t$ and $a, b \mid c \to t \mid c$

Published on 23 Aug 2015 - 18:43

score 620 · Answer 8 · 2026-03-26 08:00:49

620

Views

If $ a + b + c \mid a^2 + b^2 + c^2$ then $ a + b + c \mid a^n + b^n + c^n$ for infinitely many $n$

Published on 26 Mar 2026 - 8:00

score 61 · Answer 9 · 2026-04-11 18:59:43

61

Views

Proving with divisibility

Published on 11 Apr 2026 - 18:59

score 1.2k · Answer 10 · 2026-03-26 19:05:52

1.2k

Views

Prove that $\sqrt{3}$ is not a rational number

Published on 26 Mar 2026 - 19:05

score 316 · Answer 11 · 2026-04-11 13:51:03

316

Views

Connections between Fibonacci and natural numbers

Published on 11 Apr 2026 - 13:51

score 213 · Answer 12 · 2015-08-25 15:33:53

213

Views

Each number in a subset $S\subseteq \{1,\ldots,2n\}$ does not divide another one. Then $\max |S|$?

Published on 25 Aug 2015 - 15:33

score 56 · Answer 13 · 2026-04-10 17:27:57

56

Views

How to find $\frac{a+b+c}x$?

Published on 10 Apr 2026 - 17:27

score 1.9k · Answer 14 · 2015-08-27 05:30:10

1.9k

Views

$z=100^2-x^2$. Then, how many values of $x,z$ are divisible by $6$?

Published on 27 Aug 2015 - 5:30

score 513 · Answer 15 · 2026-04-03 04:17:30

513

Views

If $\gcd(ab,c)=d$ and $c|ab$ then $c=d$

Published on 03 Apr 2026 - 4:17

List Question

Can the identity $ab=\gcd(a,b)\text{lcm}(a,b)$ be recovered from this category?

Prove that it is NOT true that for every integer $n$, 60 divides $n$ if and only if 6 divides $n$ and 10 divides $n$.

Modular Arithmetic Divisibility

Irrationality of ${5^{1/7}}$

Guessing how many times a smaller number goes into bigger number

Direct proof divisibility: Suppose $x$ is an integer such that $2 \cdot 3 \cdot 4 \cdot 5 \cdot x = 59 \cdot 58 \cdot 57 \cdot 56 \cdot 55$

$t > 0 $ is the least common multiple of $a, b$ (not both $0$) iff $a, b \mid t$ and $a, b \mid c \to t \mid c$

If $ a + b + c \mid a^2 + b^2 + c^2$ then $ a + b + c \mid a^n + b^n + c^n$ for infinitely many $n$

Proving with divisibility

Prove that $\sqrt{3}$ is not a rational number

Connections between Fibonacci and natural numbers

Each number in a subset $S\subseteq \{1,\ldots,2n\}$ does not divide another one. Then $\max |S|$?

How to find $\frac{a+b+c}x$?

$z=100^2-x^2$. Then, how many values of $x,z$ are divisible by $6$?

If $\gcd(ab,c)=d$ and $c|ab$ then $c=d$

Trending Questions

Popular # Hahtags

Popular Questions