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 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 2^5-1=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
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Quote:
 that every mersenne prime can be express as a fibonacci prime.
Can you clarify exactly what you mean? Are you asking whether every Mersenne prime IS a Fibonacci prime?

 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^n-1 can also be expressed as a f(n) where n is the Fibonacci term. i am not saying that f(2^n-1) is prime.
 November 15th, 2007, 01:00 PM #6 Senior Member   Joined: Oct 2007 From: France Posts: 121 Thanks: 1 2^1-1=1 is a Fibonacci number; 2^2-1=3 is a Fibonacci number; 2^3-1=7 is not a Fibonacci number (but a Lucas number!); 2^4-1=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.

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# fibonnaci prime and mersenne prime

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