List questions from fibonacci-numbers

Published on 28 Apr 2023 - 19:29

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$\lim_{n\to \infty}\frac{F_{n+1}^{k}}{F_{n}^{k}}=\lim_{n\to \infty}\frac{F_{n+k}}{F_n}=\phi^{k},$ true? for odd $k$'s?

Published on 26 Mar 2026 - 1:12

44

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When is a sum of two real roots of a symmetrizable Kac-Moody algebra is again a real root?

Published on 02 May 2023 - 7:22

156

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Is $F_n+F_{n^2+1}$ composite for all odd positive integers $n>1$?

Published on 04 May 2023 - 9:49

53

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Formal Power Series for Recursion where Successor is Linear Combination of all Predecessors

Published on 28 Mar 2026 - 8:35

157

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Does for every integer $k$ exist a positive integer $n$ such that $F_n+k$ is prime?

Published on 05 May 2023 - 21:06

69

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Every $n \in \mathbb{N}$ can be written as sum of distinct Fibonacci numbers

Published on 14 May 2023 - 17:24

99

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What are nontrivial factors of $F_{F_n}$ upto $n=137$?

Published on 17 May 2023 - 18:00

27

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How to prove $F_{n-1}F_{n-2}-F_nF_{n-3}=(-1)^n$, where $F_n$ is nth fibonacci number?

Published on 20 May 2023 - 17:49

98

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Prime divisors of $f(n):=F_{n^2}+F_n+1$?

Published on 21 May 2023 - 9:47

56

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What is the minimum modulus where the first $n$ values of Fibonacci sequence are still unique?

Published on 22 May 2023 - 14:38

173

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Question about the collection of the prime factors of a fibonacci number

Published on 28 Mar 2026 - 5:23

78

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Discrete generalization of Fibonacci golden ratios?

Published on 27 May 2023 - 14:07

70

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Fibonacci like sequence $f(n) = f(n-1) + f(n-2) + f(n/2)$ and closed form limits?

Published on 04 Jun 2023 - 23:08

356

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Calculate the nth term of the Fibonacci Sequence

Published on 05 Jun 2023 - 9:27

List Question

Primes of the form $f(n)+1$

$\lim_{n\to \infty}\frac{F_{n+1}^{k}}{F_{n}^{k}}=\lim_{n\to \infty}\frac{F_{n+k}}{F_n}=\phi^{k},$ true? for odd $k$'s?

When is a sum of two real roots of a symmetrizable Kac-Moody algebra is again a real root?

Is $F_n+F_{n^2+1}$ composite for all odd positive integers $n>1$?

Formal Power Series for Recursion where Successor is Linear Combination of all Predecessors

Does for every integer $k$ exist a positive integer $n$ such that $F_n+k$ is prime?

Every $n \in \mathbb{N}$ can be written as sum of distinct Fibonacci numbers

What are nontrivial factors of $F_{F_n}$ upto $n=137$?

How to prove $F_{n-1}F_{n-2}-F_nF_{n-3}=(-1)^n$, where $F_n$ is nth fibonacci number?

Prime divisors of $f(n):=F_{n^2}+F_n+1$?

What is the minimum modulus where the first $n$ values of Fibonacci sequence are still unique?

Question about the collection of the prime factors of a fibonacci number

Discrete generalization of Fibonacci golden ratios?

Fibonacci like sequence $f(n) = f(n-1) + f(n-2) + f(n/2)$ and closed form limits?

Calculate the nth term of the Fibonacci Sequence

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