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.