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https://www.quantamagazine.org/20160313mathematiciansdiscoverprimeconspiracy/
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Interesting. And any one of us could have discovered this. If only we had thought of checking it. /JeppeSN 



https://www.quantamagazine.org/20160313mathematiciansdiscoverprimeconspiracy/
Thanks Brink, interesting stuff!
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Googling the names of these two mathematicians bring up more popular news stories, like Peculiar pattern found in ‘random’ prime numbers (Nature) or Mathematicians shocked to find pattern in “random” prime numbers (New Scientist).
Of course, the article brinktastee posts, links the paper on arXiv.
/JeppeSN 



http://www.scientificamerican.com/article/peculiarpatternfoundinrandomprimenumbers
https://www.newscientist.com/article/2080613mathematiciansshockedtofindpatterninrandomprimenumbers/
http://www.sciencealert.com/mathematiciansdiscoverastrangepatternhidinginprimenumbers
Kannan Soundararajan and Robert Lemke Oliver have submitted a paper showing that prime numbers near to each other tend to avoid repeating their last digits; that is, a prime that ends in 1 is less likely to be followed by another ending in 1 than one might expect from a random sequence.
The finding can be generalized beyond Base10 numbering; the mathematicians found that the antisameness bias holds for any divisor.
Thoughts?
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(The post preceding this one was moved into this thread, by me, in order to consolidate two identical topics.)
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We should totally make a PrimeGrid subproject for this lol 



Thoughts?
I was surprised by this kind of "correlation" between consecutive prime. The interesting thing is that experts seemed to be surprised as well (like these two Stanford mathematician authors).
After all, these expert can relatively quickly come up with an "explanation" (even if we cannot come up with proofs), so this is not a mystery or a paradox. The strange thing is that this was not noticed much, much earlier. As I said in a previous post, any of us could discovered this "conspiracy" by simply running through the pairs of consecutive primes with a simple computer search.
/JeppeSN 



Thoughts?
I was surprised by this kind of "correlation" between consecutive prime. The interesting thing is that experts seemed to be surprised as well (like these two Stanford mathematician authors).
After all, these expert can relatively quickly come up with an "explanation" (even if we cannot come up with proofs), so this is not a mystery or a paradox. The strange thing is that this was not noticed much, much earlier. As I said in a previous post, any of us could discovered this "conspiracy" by simply running through the pairs of consecutive primes with a simple computer search.
/JeppeSN
Now one needs to ask, what else could be this easy to discover? Seriously, what obvious things could also be checked?
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Thoughts?
I was surprised by this kind of "correlation" between consecutive prime. The interesting thing is that experts seemed to be surprised as well (like these two Stanford mathematician authors).
After all, these expert can relatively quickly come up with an "explanation" (even if we cannot come up with proofs), so this is not a mystery or a paradox. The strange thing is that this was not noticed much, much earlier. As I said in a previous post, any of us could discovered this "conspiracy" by simply running through the pairs of consecutive primes with a simple computer search.
/JeppeSN
I wonder if the same applies to specific groups primes. Say, pick the bunch of GFN 15 primes we found: does this subset of primes follows the pattern? What about Mersenne primes? Or the SoBs?
Would be funny if it was also valid (or there was some other sort of correlation) to different subsets of primes... 


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Thoughts?
I was surprised by this kind of "correlation" between consecutive prime. The interesting thing is that experts seemed to be surprised as well (like these two Stanford mathematician authors).
After all, these expert can relatively quickly come up with an "explanation" (even if we cannot come up with proofs), so this is not a mystery or a paradox. The strange thing is that this was not noticed much, much earlier. As I said in a previous post, any of us could discovered this "conspiracy" by simply running through the pairs of consecutive primes with a simple computer search.
/JeppeSN
Now one needs to ask, what else could be this easy to discover? Seriously, what obvious things could also be checked?
NEWS FLASH
Primes ending with a bit value of 0 repel ALL other primes ending with bit value of 0.
Since we're dealing with conjectures has anyone looked for patterns in the nextafterconsecutive prime? Looks like fertile, if smelly, ground for investigation. Up for it Dawgs? 



I wonder if the same applies to specific groups primes. Say, pick the bunch of GFN 15 primes we found: does this subset of primes follows the pattern? What about Mersenne primes? Or the SoBs?
Would be funny if it was also valid (or there was some other sort of correlation) to different subsets of primes...
Would be interesting to test. I tried to do it with regular and irregular primes but there seemed to be no (clear) "correlation" to the "regularity" of the previous prime. /JeppeSN 



NEWS FLASH
Primes ending with a bit value of 0 repel ALL other primes ending with bit value of 0.
That is not unique to base two.
In any base P with P prime, 10 is prime and that repels all others with final bit zero ;)


