Question

If we have the Bezout coefficient, how to find the smallest possible coefficient that can take its place?

score 35 · Answer 1 · 2026-03-27 13:47:24

35

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If we have the Bezout coefficient, how to find the smallest possible coefficient that can take its place?

Published on 27 Mar 2026 - 13:47

score 65 · Answer 2 · 2024-01-21 22:50:39

65

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If $b_1\mid a$ and $b_2\mid a$ and $\gcd(b_1,b_2)=1,$ show that $b_1b_2\mid a$.

Published on 21 Jan 2024 - 22:50

score 31 · Answer 3 · 2024-01-25 01:26:08

31

Views

Addition property for GCD

Published on 25 Jan 2024 - 1:26

score 315 · Answer 4 · 2026-03-26 01:03:35

315

Views

Confirmation of Equivalent Form of Riemann Hypothesis

Published on 26 Mar 2026 - 1:03

score 109 · Answer 5 · 2024-02-07 04:59:53

109

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If $(a,b)=1$ and $n$ is a prime, prove that $ (a^n+b^n) /(a+b)$ and $(a+b)$ have no common factor, unless $a+b$ is a multiple of $n$

Published on 07 Feb 2024 - 4:59

score 81 · Answer 6 · 2024-02-08 11:32:57

81

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Prove that $\gcd(a,b,c) = \gcd(\gcd(a,b),\gcd(a,c))$

Published on 08 Feb 2024 - 11:32

score 30 · Answer 7 · 2024-02-12 23:28:44

30

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GCF of $A= 14a+4b$ and $B=11a+3b$ , with $a, b \in \mathbb Z$ and GCF$(a,b)= d$

Published on 12 Feb 2024 - 23:28

score 49 · Answer 8 · 2026-03-25 20:13:50

49

Views

Proving membership of monomials to an ideal

Published on 25 Mar 2026 - 20:13

score 107 · Answer 9 · 2024-02-15 06:54:16

107

Views

If for two strings a+b=b+a holds true, what properties can we derive about such strings?

Published on 15 Feb 2024 - 6:54

score 78 · Answer 10 · 2024-02-16 18:55:37

78

Views

Why can't we say, that any two elements in an arbitrary commutative ring with unit element has a greatest common divisor(gcd)?

Published on 16 Feb 2024 - 18:55

score 93 · Answer 11 · 2026-03-27 21:36:27

93

Views

Upper bounds on the greatest common divisor of sums of geometric series

Published on 27 Mar 2026 - 21:36

score 471 · Answer 12 · 2024-02-23 14:00:04

471

Views

Solve $a+b=\gcd(a^3,b^3),\;b+c=\gcd(b^3,c^3),\;c+a=\gcd(c^3,a^3)$ for positive integers $a,b,c$

Published on 23 Feb 2024 - 14:00

score 60 · Answer 13 · 2024-02-26 03:22:14

60

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Find the $\gcd(a^{2^m} + 1, a^{2^n} + 1)$ if $m>n$.

Published on 26 Feb 2024 - 3:22

score 35 · Answer 14 · 2024-02-26 20:58:46

35

Views

Least common multiple and greatest common divisor for monomial with rational coefficients

Published on 26 Feb 2024 - 20:58

score 77 · Answer 15 · 2024-03-01 13:15:19

77

Views

Closed formula for a $gcd$

Published on 01 Mar 2024 - 13:15

List Question

If we have the Bezout coefficient, how to find the smallest possible coefficient that can take its place?

If $b_1\mid a$ and $b_2\mid a$ and $\gcd(b_1,b_2)=1,$ show that $b_1b_2\mid a$.

Addition property for GCD

Confirmation of Equivalent Form of Riemann Hypothesis

If $(a,b)=1$ and $n$ is a prime, prove that $ (a^n+b^n) /(a+b)$ and $(a+b)$ have no common factor, unless $a+b$ is a multiple of $n$

Prove that $\gcd(a,b,c) = \gcd(\gcd(a,b),\gcd(a,c))$

GCF of $A= 14a+4b$ and $B=11a+3b$ , with $a, b \in \mathbb Z$ and GCF$(a,b)= d$

Proving membership of monomials to an ideal

If for two strings a+b=b+a holds true, what properties can we derive about such strings?

Why can't we say, that any two elements in an arbitrary commutative ring with unit element has a greatest common divisor(gcd)?

Upper bounds on the greatest common divisor of sums of geometric series

Solve $a+b=\gcd(a^3,b^3),\;b+c=\gcd(b^3,c^3),\;c+a=\gcd(c^3,a^3)$ for positive integers $a,b,c$

Find the $\gcd(a^{2^m} + 1, a^{2^n} + 1)$ if $m>n$.

Least common multiple and greatest common divisor for monomial with rational coefficients

Closed formula for a $gcd$

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