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Old 2018-01-02, 07:49   #1
George M
 
Dec 2017

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Post 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 2018-01-02 at 08:10
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Old 2018-01-02, 07:59   #2
gophne
 
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Quote:
Originally Posted by George M View Post
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 Fibonacci prime. Does anyone have bigger ones than the 9311st??

Just curious :)
Hi George M

F130021 with 27173 digits....source https://en.wikipedia.org/wiki/Fibonacci_prime

Last fiddled with by gophne on 2018-01-02 at 08:00 Reason: extra word removed that was added due to c&p of wiki-link
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Old 2018-01-02, 08:03   #3
Batalov
 
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Default 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.
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Old 2018-01-02, 08:05   #4
George M
 
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Originally Posted by Batalov View Post
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.
Yes, true that. I guess, more precisely, what is the biggest KNOWN fibonnaci prime to date. I think I should rephrase the question to that, so thanks for the pickup :)
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Old 2018-01-02, 08:08   #5
George M
 
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Originally Posted by gophne View Post
Hi George M

F130021 with 27173 digits....source https://en.wikipedia.org/wiki/Fibonacci_prime
I also found another link from the one you showed me. Apparently, F(3244369) is likely to be the biggest known Fibonacci number with 678033 digits, pursuant to the link below:

http://www.primenumbers.net/prptop/s...&action=Search

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Old 2018-01-02, 08:13   #6
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Quote:
Originally Posted by George M View Post
I also found another link from the one you showed me. Apparently, F(3244369) is likely to be the biggest known Fibonacci number with 678033 digits, pursuant to the link below:

http://www.primenumbers.net/prptop/s...&action=Search
They are PRP, not (yet) primes.

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Old 2018-01-02, 08:15   #7
George M
 
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They are PRP, not (yet) primes.
I know. They are probable primes, however for them to make it to the list, they must be likely to be prime.
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Old 2018-01-02, 08:24   #8
Batalov
 
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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.
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Old 2018-01-02, 08:47   #9
George M
 
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Originally Posted by Batalov View Post
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.
And perhaps the Prime Gap Equation...
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Old 2018-01-02, 09:29   #10
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Quote:
Originally Posted by Batalov View Post
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).
Fixed it. FWIW, this was not the result of vandalism, but human error.
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Old 2018-01-02, 09:44   #11
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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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