Question

How to eliminate prime factors from algebraic integers?

score 67 · Answer 1 · 2019-04-01 13:49:42

67

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How to eliminate prime factors from algebraic integers?

Published on 01 Apr 2019 - 13:49

score 1.3k · Answer 2 · 2019-04-02 00:43:49

1.3k

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Non-trivial divisors

Published on 02 Apr 2019 - 0:43

score 604 · Answer 3 · 2019-04-02 01:36:22

604

Views

Prove that if $f(x)$ divides $g(x)$ and $f(x)$ divides $h(x)$, then $f(x)$ divides $s(x)g(x) +t(x)h(x)$.

Published on 02 Apr 2019 - 1:36

score 117 · Answer 4 · 2019-04-02 04:20:39

117

Views

Find the remainder when the polynomial $1+x^2+x^4+x^6+....+x^{22}$ is divided by $1+x+x^2+x^3+...+x^{11}$

Published on 02 Apr 2019 - 4:20

score 223 · Answer 5 · 2026-03-27 04:38:23

223

Views

Find all triplets $(a,b,c)$ less than or equal to 50 such that $a + b +c$ be divisible by $a$ and $b$ and $c$.

Published on 27 Mar 2026 - 4:38

score 115 · Answer 6 · 2026-03-25 11:00:09

115

Views

On two nested radicals and divisibility

Published on 25 Mar 2026 - 11:00

score 89 · Answer 7 · 2019-04-02 19:56:41

89

Views

Is there a name for the largest factor $f$ of a number $n$ so that $n/f \ge f$?

Published on 02 Apr 2019 - 19:56

score 69 · Answer 8 · 2019-04-03 18:10:37

69

Views

Number theory divisibility check question

Published on 03 Apr 2019 - 18:10

score 43 · Answer 9 · 2019-04-03 19:10:14

43

Views

Does division by zero imply a different type of division in this situation

Published on 03 Apr 2019 - 19:10

score 52 · Answer 10 · 2026-03-27 08:46:05

52

Views

If $a \mid c$ and $b \mid c$ where $a, b, c \in \mathbb{N}$, under what conditions does it follow that $a \mid b$?

Published on 27 Mar 2026 - 8:46

score 177 · Answer 11 · 2019-04-04 20:38:37

177

Views

Prove that if x is odd and y is even, then gcd(x+y,x-y)=gcd(x,y)

Published on 04 Apr 2019 - 20:38

score 482 · Answer 12 · 2019-04-06 16:14:33

482

Views

Can divisibility rules for digits be generalized to sum of digits

Published on 06 Apr 2019 - 16:14

score 219 · Answer 13 · 2019-04-07 01:18:53

219

Views

Given a number $N$ and two numbers lower than $N$, what are all of the combinations of those numbers that sum to $N$?

Published on 07 Apr 2019 - 1:18

score 617 · Answer 14 · 2019-04-07 09:29:15

617

Views

$8^n-3^n$ Divisible by 5 - Proof Verification.

Published on 07 Apr 2019 - 9:29

score 664 · Answer 15 · 2019-04-07 17:22:27

664

Views

Prove $a^n+1$ is divisible by $a + 1$ if $n$ is odd

Published on 07 Apr 2019 - 17:22

List Question

How to eliminate prime factors from algebraic integers?

Non-trivial divisors

Prove that if $f(x)$ divides $g(x)$ and $f(x)$ divides $h(x)$, then $f(x)$ divides $s(x)g(x) +t(x)h(x)$.

Find the remainder when the polynomial $1+x^2+x^4+x^6+....+x^{22}$ is divided by $1+x+x^2+x^3+...+x^{11}$

Find all triplets $(a,b,c)$ less than or equal to 50 such that $a + b +c$ be divisible by $a$ and $b$ and $c$.

On two nested radicals and divisibility

Is there a name for the largest factor $f$ of a number $n$ so that $n/f \ge f$?

Number theory divisibility check question

Does division by zero imply a different type of division in this situation

If $a \mid c$ and $b \mid c$ where $a, b, c \in \mathbb{N}$, under what conditions does it follow that $a \mid b$?

Prove that if x is odd and y is even, then gcd(x+y,x-y)=gcd(x,y)

Can divisibility rules for digits be generalized to sum of digits

Given a number $N$ and two numbers lower than $N$, what are all of the combinations of those numbers that sum to $N$?

$8^n-3^n$ Divisible by 5 - Proof Verification.

Prove $a^n+1$ is divisible by $a + 1$ if $n$ is odd

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