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What Fibonacci number which is also prime?
The first few Fibonacci primes are 2, 3, 5, 13, 89. Fibonacci primes with thousands of digits have been found but it is not known whether there are infinitely many (Wikipedia, see link).
What are the Fibonacci rabbits and numbers and why were they created?
Fibonacci was investigating the question of how fast rabbits could breed under ideal conditions. See the link below.
What does Fibonacci and the golden ratio have in common?
The ratio of dividing the larger Fibonacci number into the smaller Fibonacci number gives you the golden ratio (1.618 to 1). -------- The Golden Ratio is the number (1+sqrt(5))/2~=1.618 The Fibonacci sequence is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ... . Skipping the first two terms, if you divide one term in this sequence by the previous term the resulting sequence converges to the Golden Ratio: 1.0000 2.0000 1.5000 1.6667 1.6000 1.6250 1.6154 1.6190 1.6176 1.6182 1.6180 Please see the link for more information.
Link between fibonacchi and the golden ratio?
Fibonacci numbers are 1, 1, 2, 3, 5, 8, 13, ... You add two previous terms you get the next term. If you put F(n) as the nth Fibonacci number, the golden ratio (φ) is lim(n→inf) F(n+1)/F(n) that is because F(n) = (φ^n-(-φ)^(-n))/(√5) Other properties of φ φ = (1+√(5))/2 1/φ = φ-1 φ2 = φ+1
What are the first fifteen numbers in the Fibonacci sequence?
According to the link (OEIS) the first number {F(0) = 0, and F(1) = 1}, And F(n) = F(n-1) + F(n-2). Then we have: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610. Which F(14)=377 is the fifteenth number, and F(16) = 610 is the sixteenth number.
