List questions from fibonacci-numbers

Published on 19 Oct 2019 - 19:30

77

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Fibonacci number in product of prime form

Published on 28 Mar 2026 - 5:22

22

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Find the equation of a term in function of the second

Published on 23 Oct 2019 - 0:02

170

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Following Fibonacci

Published on 24 Oct 2019 - 17:41

255

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How to prove $(\phi-1)(\phi-2)...(\phi-p) = \sqrt{5} + p\left(\frac{1}{2}+A\sqrt{5}\right) \bmod p^2$?

Published on 26 Mar 2026 - 21:09

660

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Prove the Fibonacci relation $F_{2k} = (F_{2(k-1)}^2 + 1)/F_{2(k-2)}$

Published on 27 Oct 2019 - 21:27

92

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Factoring $F_{1001}$

Published on 28 Mar 2026 - 5:22

342

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Show that $\lim_{n\to\infty}\frac{1}{n}\log(F_{n})=\log(\varphi)$, where $(F_{n})$ is the Fibonacci sequence and $\varphi$ is the golden ratio

Published on 25 Mar 2026 - 14:07

138

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Prove $\sum_{\gcd(p,1+i-i^2)=1} \frac{i}{1+i-i^2} = -5^{(p-3)/2} \bmod p$

Published on 30 Oct 2019 - 20:38

202

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Number of possible combinations which sum to X using only y specific numbers

Published on 31 Oct 2019 - 8:06

350

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Partition Function and Fibonacci Number

Published on 27 Mar 2026 - 0:55

432

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Prove that $F_n$ is a multiple of $F_k$ given that n is a multiple of k, using the identity $F_{a+b+1}=F_{a+1}F_{b+1}+F_aF_b$

Published on 05 Nov 2019 - 15:20

66

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Prove by mathematical induction the following Fibonacci statement

Published on 06 Nov 2019 - 13:32

182

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Coprimality of certain linear combinations of Fibonacci numbers (integer coefficients)

Published on 23 Feb 2026 - 6:37

249

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Calculating probability of game ending after $n$ flips

Published on 11 Nov 2019 - 5:36

List Question

Fast calculation of Fibonacci numbers

Fibonacci number in product of prime form

Find the equation of a term in function of the second

Following Fibonacci

How to prove $(\phi-1)(\phi-2)...(\phi-p) = \sqrt{5} + p\left(\frac{1}{2}+A\sqrt{5}\right) \bmod p^2$?

Prove the Fibonacci relation $F_{2k} = (F_{2(k-1)}^2 + 1)/F_{2(k-2)}$

Factoring $F_{1001}$

Show that $\lim_{n\to\infty}\frac{1}{n}\log(F_{n})=\log(\varphi)$, where $(F_{n})$ is the Fibonacci sequence and $\varphi$ is the golden ratio

Prove $\sum_{\gcd(p,1+i-i^2)=1} \frac{i}{1+i-i^2} = -5^{(p-3)/2} \bmod p$

Number of possible combinations which sum to X using only y specific numbers

Partition Function and Fibonacci Number

Prove that $F_n$ is a multiple of $F_k$ given that n is a multiple of k, using the identity $F_{a+b+1}=F_{a+1}F_{b+1}+F_aF_b$

Prove by mathematical induction the following Fibonacci statement

Coprimality of certain linear combinations of Fibonacci numbers (integer coefficients)

Calculating probability of game ending after $n$ flips

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