20180102, 07:49  #1 
Dec 2017
2·5^{2} Posts 
What is the biggest Fibonacci prime number?
The biggest Fibonacci prime I know is the 9311st Fibonacci number. Are there bigger ones? According to bigprimes.net, their biggest Fibonacci number (not particularly prime) is the 70333rd. That seems pretty big, but I’m asking for the biggest known Fibonacci prime. Does anyone have bigger ones than the 9311st??
Just curious :) Last fiddled with by George M on 20180102 at 08:10 
20180102, 07:59  #2  
Feb 2017
3×5×11 Posts 
Quote:
F130021 with 27173 digits....source https://en.wikipedia.org/wiki/Fibonacci_prime Last fiddled with by gophne on 20180102 at 08:00 Reason: extra word removed that was added due to c&p of wikilink 

20180102, 08:03  #3 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
24DC_{16} Posts 
Get a habit of saying 'biggest known'
There is no 'biggest Fibonacci prime number', as far as we know. Almost certainly, there is an infinite number of them.
As for the largest currently known, see here and here. Other sources, even https://oeis.org/A001605, are not updated regularly. 
20180102, 08:05  #4  
Dec 2017
2×5^{2} Posts 
Quote:


20180102, 08:08  #5  
Dec 2017
2·5^{2} Posts 
Quote:
http://www.primenumbers.net/prptop/s...&action=Search Last fiddled with by George M on 20180102 at 08:09 

20180102, 08:13  #6  
Banned
"Luigi"
Aug 2002
Team Italia
12CE_{16} Posts 
Quote:
Last fiddled with by ET_ on 20180102 at 08:13 

20180102, 08:15  #7 
Dec 2017
50_{10} Posts 

20180102, 08:24  #8 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2^{2}×7×337 Posts 
It is also obvious that Wiki was never restored from ignorant vandalism and is incorrect Re: F(130021). It is easily verified by checking the reference [4] which leads to F(104911), 21925 digits long, which was indeed proven by Stein and Water in 2015. Not the F(130021).
But then again, everyone knows (or should know) that Wiki is not a source for serious data. It is merely a starting point. Another case of vandalism about M50 is an easy illustration. 
20180102, 08:47  #9  
Dec 2017
110010_{2} Posts 
Quote:


20180102, 09:29  #10  
Jun 2003
4,967 Posts 
Quote:


20180102, 09:44  #11 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
9436_{10} Posts 
Yeah, there is a strange evolution of edits. There was someone in July trying to restore the correct known value, but his edits were reverted.
"4" also gets deleted and then added back again, and again, and again. In one word, ... Wikipedia! Where everyone is an expert. 
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