5-Feb-1995
Unsolved Problem 6:
Are there infinitely many prime Fibonacci numbers?
A prime number is an integer larger than 1 whose
only positive divisors are 1 and itself.
A Fibonacci number is a member of the sequence
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ...
in which each term is the sum of the previous two terms.
Reference:
- [Robbins 1993]
- Neville Robbins,
Beginning Number Theory.
Wm. C. Brown Publishers. Dubuque, Iowa: 1993.
Page 289.
Prime Fibonacci Numbers
Each week, for your edification, we publish a well-known
unsolved mathematics problem. These postings are intended
to inform you of some of the difficult, yet
interesting, problems that mathematicians
are investigating. We do not suggest that you tackle these problems,
since mathematicians have been unsuccessfully working on these
problems for many years.
general references
previous problem
problem archive
next problem
electronic publications