
Number Theory Number Theory Math Forum 
 LinkBack  Thread Tools  Display Modes 
November 15th, 2007, 08:46 AM  #1 
Member Joined: Oct 2007 Posts: 68 Thanks: 0  are all mersenne primes also fibonacci?
and can it be proven?

November 15th, 2007, 09:49 AM  #2 
Senior Member Joined: Oct 2007 From: France Posts: 121 Thanks: 1 
2^51=31 is a prime Mersenne number but F(31)=1 346 269=557*2417.

November 15th, 2007, 11:14 AM  #3 
Member Joined: Oct 2007 Posts: 68 Thanks: 0  not what i meant
that every mersenne prime can be express as a fibonacci prime.

November 15th, 2007, 11:25 AM  #4  
Senior Member Joined: Dec 2006 Posts: 1,111 Thanks: 0  Quote:
 
November 15th, 2007, 12:01 PM  #5 
Member Joined: Oct 2007 Posts: 68 Thanks: 0  here is what i mean
every number that can be expressed as 2^n1 can also be expressed as a f(n) where n is the Fibonacci term. i am not saying that f(2^n1) is prime.

November 15th, 2007, 01:00 PM  #6 
Senior Member Joined: Oct 2007 From: France Posts: 121 Thanks: 1 
2^11=1 is a Fibonacci number; 2^21=3 is a Fibonacci number; 2^31=7 is not a Fibonacci number (but a Lucas number!); 2^41=15 is not a Fibonacci number, nor a Lucas number... 
November 15th, 2007, 01:15 PM  #7 
Member Joined: Oct 2007 Posts: 68 Thanks: 0  not what i said
15 is not even prime, let alone merissene. ill include Lucas numbers also.

November 15th, 2007, 02:42 PM  #8 
Global Moderator Joined: Dec 2006 Posts: 20,941 Thanks: 2210 
2^5  1 = 31, a Mersenne prime that isn't in the Fibonacci or Lucas series.


Tags 
fibonacci, mersenne, primes 
Search tags for this page 
Click on a term to search for related topics.

Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Mersenne Primes and Goldbach Conjecture  goodjobbro  Number Theory  2  December 1st, 2013 10:38 PM 
Mersenne Primes (easy)  billymac00  Number Theory  2  February 10th, 2013 10:01 AM 
Fibonacci and primes  Pell's fish  Number Theory  0  October 3rd, 2010 12:26 PM 
"recurrent" mersenne primes  brunojo  Number Theory  70  June 15th, 2009 04:37 PM 
TWO new Mersenne primes found?  CRGreathouse  Number Theory  0  September 7th, 2008 04:06 PM 