20201229, 14:04  #1 
Dec 2020
7 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...
2^{2}×11×17 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
402_{8} 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. 

Thread Tools  
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Late prime gaps  Bobby Jacobs  Prime Gap Searches  7  20210811 21:30 
Prime gaps  Terence Schraut  Miscellaneous Math  10  20200901 23:49 
Gaps between maximal prime gaps  Bobby Jacobs  Prime Gap Searches  52  20200822 15:20 
Prime gaps above 2^64  Bobby Jacobs  Prime Gap Searches  11  20180702 00:28 
Prime gaps and storage  HellGauss  Computer Science & Computational Number Theory  18  20151116 14:21 