Search results
Results from the WOW.Com Content Network
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.
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]
Main page; Contents; Current events; Random article; About Wikipedia; Contact us; Pages for logged out editors learn more
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]
Clues and answers must always match in part of speech, tense, aspect, number, and degree. A plural clue always indicates a plural answer and a clue in the past tense always has an answer in the past tense. A clue containing a comparative or superlative always has an answer in the same degree (e.g., [Most difficult] for TOUGHEST). [6]
An American-style 15×15 crossword grid layout. A crossword (or crossword puzzle) is a word game consisting of a grid of black and white squares, into which solvers enter words or phrases ("entries") crossing each other horizontally ("across") and vertically ("down") according to a set of clues. Each white square is typically filled with one ...