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-   -   prime constellations web page (https://www.mersenneforum.org/showthread.php?t=27126)

MattcAnderson 2021-09-07 02:34

prime constellations web page
 
1 Attachment(s)
The attached file was hosted online by Google. Google provided this service to me for free.
Unfortunately, I am no longer able to edit the online file, and I don't know how long it will
be before it is wiped off the internet.

I want to share this information with the world.

There are many hours of original prime constellation calculations in this project.

Also, other people have done calculations, and the results are shared at The Online Encyclopedia of
Integer Sequences.org.

Have a look.

Matthew C. Anderson

chalsall 2021-09-07 03:02

[QUOTE=MattcAnderson;587423]Have a look.[/QUOTE]

On every whiteboard I encounter I write [TEX]\sqrt{-1}^2=?[/TEX] in the upper right-hand corner.

Very few find it funny. Which is exactly the point.

MattcAnderson 2021-10-18 18:38

Hi all,

I found a webpage with a nice definition of Prime constellations. Especially I like that they specified no repetitions and some prime numbers can be skipped if it is a prime cluster.

Prime constellations are prime clusters with certain restrictions.

[URL="https://oeis.org/wiki/Prime_constellations"]https://oeis.org/wiki/Prime_constellations[/URL]

Regards,
Matt

kuratkull 2021-10-18 20:46

Looks like a fun way to get into primes - it's something that would have aroused my interest a decade ago. But am I overlooking something? All these(the ones in the PDF) would take up to a second to find.

MattcAnderson 2021-10-19 02:33

[QUOTE=kuratkull;591024]Looks like a fun way to get into primes - it's something that would have aroused my interest a decade ago. But am I overlooking something? All these(the ones in the PDF) would take up to a second to find.[/QUOTE]

Hi all, Thank you for your interest Kuratkull.

Most of the prime lists I found were at least an overnight calculation.

I used the isprime() function in Maple and it is quite slow. But easy to use. I only learned 3 computer languages - Pascal, Maple, and HTML. I spent over two months of computer calculation back in 2006 to come up with some original calculations of shortest prime constellations. Lets look at the 9-tuples - in the OEIS.org/A022546. These are linked from "Search for Prime Constellations.pdf" file in this thread.

I did 200 prime number entries in the sequence. Then Dana Jacobsen did 800 more, taking the list to 1,000.

Now Normah Luhn has taken the lists even further and is actively working on it in 2021.
see [URL="http://www.pzktupel.de/ktuplets.htm"]http://www.pzktupel.de/ktuplets.htm[/URL]
check line 27. List of the smallest prime k-tuplets.

Cheers
Matt


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