General Fibonacci Sequence whose Terms are all Composite/Mistake 1

From ProofWiki
Jump to navigation Jump to search

Source Work

1997: David Wells: Curious and Interesting Numbers (2nd ed.):

The Dictionary


The first term of a generalized Fibonacci sequence, in which each term is the sum of the previous two, in which every term is composite. The second term is $49,463,435,743,205,655$.

It is important also to note that $62,638,280,004,239,857$ and $49,463,435,743,205,655$ are coprime.

Otherwise, for example, such generalized Fibonacci sequences would be trivial to devise, for example: $4, 4, 8, 12, 20, \ldots$