20201229, 14:04  #1 
Dec 2020
7_{8} Posts 
Prime sequences and gaps: conditions and heuristics
Maybe this material can be of interest to researchers, both theoretical and numerical in prime gap distributions. It provides necessary and sufficient conditions for quadruplet prime sequences, noprime sequences and some cases in Polignac's conjecture:
prime sequences and distributions Distributions of twin prime sequences were discussed earlier in: twin prime distributions 
20201231, 15:29  #2 
Dec 2008
you know...around...
685_{10} Posts 
As the layman I am, I'm having a surprisingly difficult time understanding this.
The paper looks well written, but it seems to merely provide a more complicated way of stating what is already known about sets of odd coprimes, though I'll be gladly proven wrong in this regard. 
20210111, 19:17  #3 
May 2018
3×79 Posts 
Interesting article. Twin primes are full of great patterns. They are very cool.

20210306, 13:46  #4  
Dec 2020
7 Posts 
Quote:
The approach provides a description of the mechanism driving the distribution of twin primes, and importantly, other types of prime sequences as quadruplets, some Polignac's patterns and possibly others. It allows to obtain numerically verifiable bounds on the distributions of twins and other sequences. Developing it further may allow to advance toward formal proof of the bounds that could help to stand some long standing problems. 

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