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Fibonacci was born around 1170 to Guglielmo, an Italian merchant and customs official. [3] Guglielmo directed a trading post in Bugia (Béjaïa), in modern-day Algeria. [16] Fibonacci travelled with him as a young boy, and it was in Bugia (Algeria) where he was educated that he learned about the Hindu–Arabic numeral system. [17] [7]
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.
For generalized Fibonacci sequences (satisfying the same recurrence relation, but with other initial values, e.g. the Lucas numbers) the number of occurrences of 0 per cycle is 0, 1, 2, or 4. The ratio of the Pisano period of n and the number of zeros modulo n in the cycle gives the rank of apparition or Fibonacci entry point of n.
The Wikidata item linked to this page is Fibonacci sequence (Q23835349). Use this template only on hard redirects – for soft redirects use {{ Soft redirect with Wikidata item }} . With old history : This is a redirect from a page that was from a historic version of this Wikipedia project.
This page was last edited on 27 April 2002, at 17:08 (UTC).; Text is available under the Creative Commons Attribution-ShareAlike 4.0 License; additional terms may ...
The first, in 2005, was a demonstration of his Mathemagics show. The second, in 2009, was a plea for improved math education in schools. The third, in 2013, was about the way the Fibonacci series of numbers provides an excellent example of the three most important reasons for studying mathematics: Calculation, Application, and Inspiration. [11]
From a group and a field (or more generally a ring), the group ring [] is defined as the set of all finite formal -linear combinations of elements of − that is, an element of [] is of the form =, where = for all but finitely many so that the linear combination is finite.
Pages in category "Fibonacci numbers" The following 48 pages are in this category, out of 48 total. This list may not reflect recent changes. ...