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November 15th, 2007, 09:46 AM  #1 
Member Joined: Oct 2007 Posts: 68 Thanks: 0  are all mersenne primes also fibonacci?
and can it be proven?

November 15th, 2007, 10:49 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, 12:14 PM  #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, 12:25 PM  #4  
Senior Member Joined: Dec 2006 Posts: 1,111 Thanks: 0  Quote:
 
November 15th, 2007, 01:01 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, 02:00 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, 02:15 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, 03:42 PM  #8 
Global Moderator Joined: Dec 2006 Posts: 21,113 Thanks: 2327 
2^5  1 = 31, a Mersenne prime that isn't in the Fibonacci or Lucas series.


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