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Forum: Prime Gap Searches 2021-03-06, 13:46
Replies: 3
Views: 1,033
Posted By gnostique
The approach provides a description of the...

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...
Forum: Twin Prime Search 2021-03-01, 18:22
Replies: 1
Views: 621
Posted By gnostique
Twin prime bounds

Upper and lower bounds on the number of twin primes in arbitrary intervals were conjectured (https://doi.org/10.33774/coe-2021-r149l) with an efficient method of verification (computational...
Forum: Prime Gap Searches 2020-12-29, 14:04
Replies: 3
Views: 1,033
Posted By gnostique
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,...
Forum: Prime Gap Searches 2020-12-13, 15:06
Replies: 9
Views: 1,763
Posted By gnostique
Twin gap estimates

Some recent results on estimates of twin prime gaps (https://www.cambridge.org/engage/coe/article-details/5fce49501ad9a000182972f3). Appreciate comments and feedback.
Forum: Prime Gap Searches 2020-12-11, 12:44
Replies: 9
Views: 1,763
Posted By gnostique
twin prime distribution

Is it acceptable to post directly related research here for information / comments / feedback?
Forum: Prime Gap Searches 2020-12-09, 14:46
Replies: 9
Views: 1,763
Posted By gnostique
@CRGreathouse, thank you this was helpful. From...

@CRGreathouse, thank you this was helpful. From these results it appears that the relative gap tends to decrease with the prime order and this is also in a good agreement with our results.
Forum: Prime Gap Searches 2020-12-06, 00:06
Replies: 9
Views: 1,763
Posted By gnostique
Twin prime gap bounds

I'm working with prime and twin gap bounds and it appears that there may be an approach to establishing maximum bounds on the distance to the next pair (as per convention, a pair is denoted by the...
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