List questions from lucas-numbers

Published on 25 Mar 2026 - 23:26

93

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How to show that : $4(-1)^nL_n^2+L_{4n}-L_n^4=2$

Published on 21 Mar 2020 - 6:25

111

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Extra strong Lucas pseudoprimes and Jacobi symbol

Published on 21 Mar 2020 - 9:35

42

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if $p\mid u_m$, $m\mid n$, $p\mid u_n/u_m$, prove that $p\mid n/m$

Published on 17 Jun 2020 - 2:36

193

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Why are the Lucas numbers and Fibonacci numbers linearly independent?

Published on 10 Aug 2016 - 19:19

789

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Is there a Lucas-Lehmer equivalent test for primes of the form ${3^p-1 \over 2}$?

Published on 15 Oct 2016 - 1:18

188

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Lucas Numbers Matrix A

Published on 25 Mar 2026 - 4:35

101

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lucas numbers Prove that $l_0^2+l_1^2+...+l_n^2=l_n*l_n+1+2$ for $n \ge 0$

Published on 02 Nov 2016 - 3:28

53

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Is there a proof for why the difference between the n-th power of phi and the n-th Lucas number converges to zero?

Published on 14 Nov 2016 - 0:59

727

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Finding a closed formula for the nth Lucas Number

Published on 14 Nov 2016 - 1:46

755

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Why does the fibonacci series start with 0 and the lucas series with 1?

Published on 29 Mar 2017 - 17:24

198

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Lucas Number Questions!

Published on 02 Apr 2017 - 13:19

1k

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Lucas and Fibonacci Numbers

Published on 02 Apr 2017 - 21:26

55

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Divisibility of Lucas+Fibonacci

Published on 28 Feb 2023 - 20:43

71

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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 29 Apr 2023 - 22:10

List Question

$F_p,L_p$ both prime?

How to show that : $4(-1)^nL_n^2+L_{4n}-L_n^4=2$

Extra strong Lucas pseudoprimes and Jacobi symbol

if $p\mid u_m$, $m\mid n$, $p\mid u_n/u_m$, prove that $p\mid n/m$

Why are the Lucas numbers and Fibonacci numbers linearly independent?

Is there a Lucas-Lehmer equivalent test for primes of the form ${3^p-1 \over 2}$?

Lucas Numbers Matrix A

lucas numbers Prove that $l_0^2+l_1^2+...+l_n^2=l_n*l_n+1+2$ for $n \ge 0$

Is there a proof for why the difference between the n-th power of phi and the n-th Lucas number converges to zero?

Finding a closed formula for the nth Lucas Number

Why does the fibonacci series start with 0 and the lucas series with 1?

Lucas Number Questions!

Lucas and Fibonacci Numbers

Divisibility of Lucas+Fibonacci

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

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