List questions from euclidean-algorithm

Published on 26 Sep 2015 - 17:08

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Proving the Gaussian Integers are a Principal Ideal Domain

Published on 01 Oct 2015 - 6:34

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Finding GCD of two polynomials over a ring

Published on 01 Oct 2015 - 18:49

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Select two distinct primes each with 6 binary digits and use them to design an RSA cryptosystem.

Published on 05 Oct 2015 - 0:25

430

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Euclidean Algorithm

Published on 05 Oct 2015 - 21:23

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Prove with Euclid's Algortihm

Published on 07 Oct 2015 - 22:47

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Prove that if Euclid’s algorithm applied to the pair (u, v) takes n steps, then $u ≥ f_{n+2}$ and $v ≥ f_{n+1}$.

Published on 08 Oct 2015 - 0:08

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Prove that for all $n \in Z^+$, Euclid’s algorithm applied to the pair $(f_{n+1}, f_{n+2})$, takes $n$ steps.

Published on 08 Oct 2015 - 0:52

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Show simple continued fraction with Euclid's Algorithm

Published on 08 Oct 2015 - 3:06

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Prove that if Euclid's algorithm applied to the pair $(u,v)$ takes $n$ steps, then $u \geq f_{n+2}$ and $v \geq f_{n+1}$

Published on 08 Oct 2015 - 3:46

92

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Euclid's algorithm

Published on 08 Oct 2015 - 15:02

499

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Pairwise Coprime Polynomials

Published on 11 Oct 2015 - 18:17

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How to get a solution of $119x-71y=19$ in natural numbers?

Published on 12 Oct 2015 - 11:32

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Extended Euclidean Algorithm, what is our answer?

Published on 12 Oct 2015 - 19:26

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Show that if $\gcd(a, b)\mid c$, then the equation $ax + by = c$ has infinitely many integer solutions for $x$ and $y$.

Published on 16 Mar 2026 - 23:42

List Question

Does the multiplicative inverse of 3 and 6 exist in Modulo 9

Proving the Gaussian Integers are a Principal Ideal Domain

Finding GCD of two polynomials over a ring

Select two distinct primes each with 6 binary digits and use them to design an RSA cryptosystem.

Euclidean Algorithm

Prove with Euclid's Algortihm

Prove that if Euclid’s algorithm applied to the pair (u, v) takes n steps, then $u ≥ f_{n+2}$ and $v ≥ f_{n+1}$.

Prove that for all $n \in Z^+$, Euclid’s algorithm applied to the pair $(f_{n+1}, f_{n+2})$, takes $n$ steps.

Show simple continued fraction with Euclid's Algorithm

Prove that if Euclid's algorithm applied to the pair $(u,v)$ takes $n$ steps, then $u \geq f_{n+2}$ and $v \geq f_{n+1}$

Euclid's algorithm

Pairwise Coprime Polynomials

How to get a solution of $119x-71y=19$ in natural numbers?

Extended Euclidean Algorithm, what is our answer?

Show that if $\gcd(a, b)\mid c$, then the equation $ax + by = c$ has infinitely many integer solutions for $x$ and $y$.

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