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The Fibonacci Quarterly is available online to subscribers; on December 31, 2017, online volumes ranged from the current issue back to volume 1 (1963). Many articles in The Fibonacci Quarterly deal directly with topics that are very closely related to Fibonacci numbers , such as Lucas numbers , the golden ratio , Zeckendorf representations ...
A Fibonacci prime is a Fibonacci number that is prime. The first few are: [46] 2, 3, 5, 13, 89, 233, 1597, 28657, 514229, ... Fibonacci primes with thousands of digits have been found, but it is not known whether there are infinitely many. [47] F kn is divisible by F n, so, apart from F 4 = 3, any Fibonacci prime must have a prime index.
That is to say, the Fibonacci sequence is a divisibility sequence. F p is prime for 8 of the first 10 primes p; the exceptions are F 2 = 1 and F 19 = 4181 = 37 × 113. However, Fibonacci primes appear to become rarer as the index increases. F p is prime for only 26 of the 1229 primes p smaller than 10,000. [3]
english: Series of Golden triangle and the Fibonacci spiral; italinao: la seria di triangoli aurei con esplicitazione della spirale di Fibonacci; Date: 09 - 10 - 2007: Source: Own work: Author: Personline
Fibonacci instead would write the same fraction to the left, i.e., . Fibonacci used a composite fraction notation in which a sequence of numerators and denominators shared the same fraction bar; each such term represented an additional fraction of the given numerator divided by the product of all the denominators below and to the right of it.
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