Question

$\text{gcd}$ of the coefficients of a comatrix

score 58 · Answer 1 · 2022-10-10 16:31:44

58

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$\text{gcd}$ of the coefficients of a comatrix

Published on 10 Oct 2022 - 16:31

score 132 · Answer 2 · 2022-10-12 18:33:20

132

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find the largest number that can't be written as $2008x+2009y+2010 z$

Published on 12 Oct 2022 - 18:33

score 88 · Answer 3 · 2022-10-13 23:42:25

88

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Let d=gcd(a,b). Prove that gcd(a/d, b/d)=1 (using Bezout's identity)

Published on 13 Oct 2022 - 23:42

score 114 · Answer 4 · 2022-10-14 11:37:02

114

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Let $R=\mathbb Z_2\oplus \mathbb Z_3\oplus \mathbb Z_5$. How many zero divisors are there in $R$?

Published on 14 Oct 2022 - 11:37

score 97 · Answer 5 · 2026-03-28 00:30:27

97

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Proof-verification request: On the equation $\gcd(n^2,\sigma(n^2))=D(n^2)/s(q^k)$ - Part II

Published on 28 Mar 2026 - 0:30

score 262 · Answer 6 · 2026-03-27 22:57:40

262

Views

Write the sum $\sum\limits_{a \in \mathbb{N}}\sum\limits_{b \in \mathbb{N}} \frac{(a,b)}{a^sb^t}$ in terms of the Riemann zeta function

Published on 27 Mar 2026 - 22:57

score 88 · Answer 7 · 2022-10-25 15:20:35

88

Views

gcd as the greatest common factor wrt divisibility partial order relation

Published on 25 Oct 2022 - 15:20

score 284 · Answer 8 · 2022-10-26 12:02:31

284

Views

show that $\operatorname{lcm}(n,n+1,\cdots, n+k) = rn{n+k\choose k}$

Published on 26 Oct 2022 - 12:02

score 120 · Answer 9 · 2026-04-09 02:37:52

120

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Verify proof: Prove that the order of an element in $S_n$ equals the least common multiple of the lengths of the cycles in its cycle decomposition.

Published on 09 Apr 2026 - 2:37

score 19 · Answer 10 · 2026-03-23 18:33:33

19

Views

Factorization by order finding

Published on 23 Mar 2026 - 18:33

score 161 · Answer 11 · 2026-03-28 00:35:26

161

Views

On Tony Kuria Kimani's recent preprint in ResearchGate

Published on 28 Mar 2026 - 0:35

score 88 · Answer 12 · 2022-10-31 04:32:08

88

Views

Show that for all integers $n$, $\gcd(n^6 + 3n^2 + n + 4, n^2 + 1) = 1$

Published on 31 Oct 2022 - 4:32

score 78 · Answer 13 · 2022-11-03 05:00:38

Is that true that every number greater than a product of relatively prime numbers is a linear combination of those prime numbers?

score 85 · Answer 14 · 2022-11-07 20:47:12

85

Views

If $a$ and $b$ are positive integers, and $p$ is prime then $p$ divides $\gcd(a^2,b)$ if and only if p divides $\gcd(a,b^2)$

Published on 07 Nov 2022 - 20:47

score 78 · Answer 15 · 2022-11-08 20:17:22

78

Views

Prove that $a \mid bc$ implies $a \mid \gcd(a,b)\times \gcd(a,c)$

Published on 08 Nov 2022 - 20:17

List Question

$\text{gcd}$ of the coefficients of a comatrix

find the largest number that can't be written as $2008x+2009y+2010 z$

Let d=gcd(a,b). Prove that gcd(a/d, b/d)=1 (using Bezout's identity)

Let $R=\mathbb Z_2\oplus \mathbb Z_3\oplus \mathbb Z_5$. How many zero divisors are there in $R$?

Proof-verification request: On the equation $\gcd(n^2,\sigma(n^2))=D(n^2)/s(q^k)$ - Part II

Write the sum $\sum\limits_{a \in \mathbb{N}}\sum\limits_{b \in \mathbb{N}} \frac{(a,b)}{a^sb^t}$ in terms of the Riemann zeta function

gcd as the greatest common factor wrt divisibility partial order relation

show that $\operatorname{lcm}(n,n+1,\cdots, n+k) = rn{n+k\choose k}$

Verify proof: Prove that the order of an element in $S_n$ equals the least common multiple of the lengths of the cycles in its cycle decomposition.

Factorization by order finding

On Tony Kuria Kimani's recent preprint in ResearchGate

Show that for all integers $n$, $\gcd(n^6 + 3n^2 + n + 4, n^2 + 1) = 1$

Is that true that every number greater than a product of relatively prime numbers is a linear combination of those prime numbers?

If $a$ and $b$ are positive integers, and $p$ is prime then $p$ divides $\gcd(a^2,b)$ if and only if p divides $\gcd(a,b^2)$

Prove that $a \mid bc$ implies $a \mid \gcd(a,b)\times \gcd(a,c)$

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