Question

Why if polynomial $r(n)$ is the lcm of $p(n)$ and $q(n)$, for an specific integer number $a$, then $r(a)$ is not always the lcm of $p(a)$ and $r(a)$?

score 70 · Answer 1 · 2021-07-25 01:17:50

Why if polynomial $r(n)$ is the lcm of $p(n)$ and $q(n)$, for an specific integer number $a$, then $r(a)$ is not always the lcm of $p(a)$ and $r(a)$?

score 110 · Answer 2 · 2021-07-28 09:29:39

110

Views

Number of solutions to congruence with additive gcd condition

Published on 28 Jul 2021 - 9:29

score 132 · Answer 3 · 2021-08-05 23:49:07

132

Views

Prove that $\gcd(a,c)=\gcd(b,c)$, for $a,b,c\in\mathbb Z^+$.

Published on 05 Aug 2021 - 23:49

score 725 · Answer 4 · 2021-08-09 03:52:40

725

Views

PRMO Model Question : "The least LCM of 20 natural numbers, not necessarily different, whose sum is 413, is _________"

Published on 09 Aug 2021 - 3:52

score 55 · Answer 5 · 2021-08-09 16:37:41

55

Views

If $p$ divides a product $ab$ of integers, then $p$ divides $a$ or $p$ divides $b$, given $p$ is prime.

Published on 09 Aug 2021 - 16:37

score 184 · Answer 6 · 2021-08-11 14:33:00

184

Views

Show that $\gcd(ab+c,ca+b,bc+a)=\gcd(a,b,c)$ if $\gcd(a^2-1,b^2-1,c^2-1)=1$

Published on 11 Aug 2021 - 14:33

score 66 · Answer 7 · 2021-08-12 17:51:05

66

Views

Prove or disprove GCD

Published on 12 Aug 2021 - 17:51

score 37 · Answer 8 · 2021-08-20 17:11:37

37

Views

Can not get a specific valid solution for a simple diophantine equation

Published on 20 Aug 2021 - 17:11

score 268 · Answer 9 · 2026-04-01 03:07:29

268

Views

What is the property of co-primes that allows CRT to work?

Published on 01 Apr 2026 - 3:07

score 99 · Answer 10 · 2026-04-08 03:23:13

99

Views

How to explain the equation? Confusion about the notation "gcd$(a,b)$"

Published on 08 Apr 2026 - 3:23

score 98 · Answer 11 · 2021-08-22 09:35:46

98

Views

Writing converse of a statement

Published on 22 Aug 2021 - 9:35

score 133 · Answer 12 · 2021-08-25 12:24:27

133

Views

On a condition for sums of odd numbers to yield prime numbers

Published on 25 Aug 2021 - 12:24

score 69 · Answer 13 · 2021-08-25 15:33:13

69

Views

$\{a,b\}$ are generating set of $\mathbb{Z}$ iff $gcd(a,b)=1$

Published on 25 Aug 2021 - 15:33

score 40 · Answer 14 · 2021-08-29 00:01:46

40

Views

Property that uniquely defines the greatest common divisor

Published on 29 Aug 2021 - 0:01

score 260 · Answer 15 · 2021-08-30 23:26:50

260

Views

Does Hensel's Lemma give all solutions to a quadratic congruence equation?

Published on 30 Aug 2021 - 23:26

List Question

Why if polynomial $r(n)$ is the lcm of $p(n)$ and $q(n)$, for an specific integer number $a$, then $r(a)$ is not always the lcm of $p(a)$ and $r(a)$?

Number of solutions to congruence with additive gcd condition

Prove that $\gcd(a,c)=\gcd(b,c)$, for $a,b,c\in\mathbb Z^+$.

PRMO Model Question : "The least LCM of 20 natural numbers, not necessarily different, whose sum is 413, is _________"

If $p$ divides a product $ab$ of integers, then $p$ divides $a$ or $p$ divides $b$, given $p$ is prime.

Show that $\gcd(ab+c,ca+b,bc+a)=\gcd(a,b,c)$ if $\gcd(a^2-1,b^2-1,c^2-1)=1$

Prove or disprove GCD

Can not get a specific valid solution for a simple diophantine equation

What is the property of co-primes that allows CRT to work?

How to explain the equation? Confusion about the notation "gcd$(a,b)$"

Writing converse of a statement

On a condition for sums of odd numbers to yield prime numbers

$\{a,b\}$ are generating set of $\mathbb{Z}$ iff $gcd(a,b)=1$

Property that uniquely defines the greatest common divisor

Does Hensel's Lemma give all solutions to a quadratic congruence equation?

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