# Tagged Questions

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### Is a Lucas Number with either a power of 2 or a prime index always coprime with all previous Lucas Numbers?

I was looking at this webpage which lists the first 200 Lucas Numbers color-coded with their prime factors and I noticed that all the Lucas numbers with power of two or prime indexes were relatively ...
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### Does this mean some Wall-Sun-Sun primes have already been found?

In the PrimeGrid project statistics page for Wall-Sun-Sun Prime Search, it says, Wall-Sun-Suns ... 2 Near Wall-Sun-Suns ... 208 However, all the internet search ...
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### Does every prime divide some Fibonacci number?

I am tring to show that $\forall a \in \Bbb P\; \exists n\in\Bbb N : a|F_n$, where $F$ is the fibonacci sequence defined as $\{F_n\}:F_0 = 0, F_1 = 1, F_n = F_{n-1} + F_{n-2}$ $(n=2,3,...)$. How can ...
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### Application of convergence of Fibonacci series

'There are infinite prime numbers' is a fact that can be deduced by 'reciprocal of primes diverges' statement, so from this can we deduce the fact that --> 'there are finite Fibonacci numbers in ...
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### Pisano periods of fibonacci mod

The wikipedia article on Pisano periods utilises the Binet's formula and quadratic residues to find $f(n)$ such that $F_n=f(n) \pmod{p}$ where $p$ is a prime number and $F_n$ is a Fibonacci number. ...
### Prove that If $f_n$ where $n>3$ is prime, then $n$ is prime for a Fibonacci series where $f_1$=$f_2$=1
This problem came up in my conversation with a friend—not sure how basic it is, but it seems quite interesting: Prove that if $f_n$ where $n>3$ is prime, then $n$ is prime for a Fibonacci sequence ...