Whats the odds of a prime

Message boards : Number crunching : Whats the odds of a prime

Author	Message
Joe Send message Joined: 20 Dec 14 Posts: 9 Credit: 440,014,134 RAC: 68,374	Message 2672 - Posted: 4 Jul 2016, 1:40:06 UTC
	I got to thinking. As of today I have hit 31 reported primes out of 27038292 tasks or roughly 1 out of every 87000 tasks.. Curious, I'm not a mathematician, but it would seem because each base is bound by an non infinite number my chances of hitting a prime are not 1/87000 as is seems. (I know the question is not phrased well, but is the chance of hitting a prime based on independent or dependent probability is what I'm asking I guess)?
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rebirther Volunteer moderator Project administrator Project developer Project tester Project scientist Send message Joined: 2 Jan 13 Posts: 8007 Credit: 46,538,964 RAC: 0	Message 2673 - Posted: 4 Jul 2016, 5:29:31 UTC - in response to Message 2672.
	I got to thinking. As of today I have hit 31 reported primes out of 27038292 tasks or roughly 1 out of every 87000 tasks.. Curious, I'm not a mathematician, but it would seem because each base is bound by an non infinite number my chances of hitting a prime are not 1/87000 as is seems. (I know the question is not phrased well, but is the chance of hitting a prime based on independent or dependent probability is what I'm asking I guess)? Not all primes I can publish here because of the amount and doing manually. The primes are uninfinite for each base but there is always a lucky hit every x tests.
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forretrio Send message Joined: 28 Nov 16 Posts: 7 Credit: 25,040,159 RAC: 0	Message 3168 - Posted: 29 Dec 2016, 5:10:08 UTC - in response to Message 2673. Last modified: 29 Dec 2016, 5:15:58 UTC
	Sorry for the bump... I read your FAQ about primes reporting. Rather than writing a post listing all the primes' founder and update it manually, is it possible to integrate it into the account profile page? Just like primegrid there's a row saying how many primes you've discovered in the profile page, and that would be much more convenient :) ____________
	ID: 3168 · Rating: 0 · rate: / Reply Quote

forretrio Send message Joined: 28 Nov 16 Posts: 7 Credit: 25,040,159 RAC: 0	Message 3169 - Posted: 29 Dec 2016, 5:15:47 UTC - in response to Message 2672. Last modified: 29 Dec 2016, 5:16:09 UTC
	A general theorem is that the prime density around some number N locally is 1/ln(N) [log natural]. However things can be much more complicated if we are just looking at numbers of a specific form, which this project does. I am pretty sure that there should be infinitely many primes of such form, but the distribution is something beyond my knowledge since I am not a specialist in number theory. [It's even doubtful that such result exists...] ____________
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rebirther Volunteer moderator Project administrator Project developer Project tester Project scientist Send message Joined: 2 Jan 13 Posts: 8007 Credit: 46,538,964 RAC: 0	Message 3170 - Posted: 29 Dec 2016, 20:49:08 UTC - in response to Message 3168.
	Sorry for the bump... I read your FAQ about primes reporting. Rather than writing a post listing all the primes' founder and update it manually, is it possible to integrate it into the account profile page? Just like primegrid there's a row saying how many primes you've discovered in the profile page, and that would be much more convenient :) I have tried it last time but no success, there must be some code changes and I think the records of these primes are all manual work too.
	ID: 3170 · Rating: 0 · rate: / Reply Quote

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Message boards : Number crunching : Whats the odds of a prime