perm filename FIBON.OUT[S1,ALS] blob
sn#491654 filedate 1979-12-30 generic text, type T, neo UTF8
Fibonacci Numbers
0 1
1 2 3 5
8 13 21 34
55 89 144 233
377 610 987 1597
2584 4181 6765 10946
17711 28657 46368 75025
121393 196418 317811 514229
832040 1346269 2178309 3524578
5702887 9227465 14930352 24157817
39088169 63245986 102334155 165580141
267914296 433494437 701408733 1134903170
1836311903 2971215073 4807526976 7778742049
Some interesting properties of Fibonacci numbers
In a series made up of every Nth Fibonacci number, counting
fron 0, every number is divisible by the first number.
examples
Every 3rd number 2, 8, 34, 144, 610, 2584
Every 4th number 3, 21, 144, 987, 6765, 46368
Every 5th number 5, 55, 610, 6765, 75025
Every 6th number 8, 144, 2584, 46368, 832040
Every 7th number 13, 377,10946, 317811
Every 8th number 21, 987, 46368, 2178309
Most prime Fibonacci numbers are at a prime distance from 0
in the Fibonacci series.
examples
number distance number distance
2 3 5 5
13 7 89 11
233 13 1597 17
28657 23 514229 29
433494437 43 2971215073 47
exception: Fibonacci number 3 is at distance 4.