# Tagged Questions

0answers
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### Which starting conditions for the Fibonacci sequence, gives most primes

I found the following question (at http://aperiodical.com/2012/05/matt-parkers-twitter-puzzle-25-may/): If you start the Fibonacci sequence 2,1 instead of 1,1 do you get more or fewer primes? ...
1answer
232 views

### What is the next “Tribonacci-like” pseudoprime?

Given the three roots of $x^3=x^2+x+1$. Then we get the tribonacci-like sequence, $B_n = x_1^n+x_2^n+x_3^n = 3, 1, 3, 7, 11, 21, 39, 71, 131,\dots$ where $B_n = B_{n-1}+B_{n-2}+B_{n-3}$, and the ...
1answer
212 views

### Prime power divisors of the fibonacci numbers

I came across a result that if $p^n \mid f_m$ for some $n\geq1$ then $p^{n+1} \mid f_{pm}$. I was wondering if this is true.
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238 views

### Prime Appearances in Fibonacci Number Factorizations

Okay, THIS one is considerably more analytical... :P (Used my post here as a basis.) When successive Fibonacci numbers are factored, the primes appear in a specific order, which goes \$2, 3, 5, 13, 7, ...
1answer
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### 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 ...
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