Good day, project participants.
New application named "Calc19Tuples" has been driven to working process.

Here is a link to the repository of all results.
They are posted daily.
Inside the archive are response files and summary information.

https://boinc.mak.termit.me:5000/algo_19/

Dear project participants!

The new Application has a more complex search and therefore fewer results.

We are looking for a symmetric 19-tuplet with a minimum diameter of 252 using the following pattern

0, 6, 12, 30, 42, 72, 90, 96, 120, 126, 132, 156, 162, 180, 210, 222, 240, 246, 252

This is the only theoretical pattern for symmetric 19-tuplet with a minimum diameter of 252.
See
https://oeis.org/A266512/a266512_1.txt

At the moment, only one symmetric 19-tuplet with a minimum diameter of 252 is known.
See
https://dxdy.ru/post1668659.html#p1668659

We need to find many symmetric 19-tuplets with a minimum diameter of 252.
From such a tuple, a symmetric 21-tuplet with a diameter of 360 can be obtained.
Currently, no symmetric 21-tuplet is known.

Along the way, we search for approximations to a symmetric 17-tuplet that are contained in a 19-tuplet with a minimum diameter of 252.
A symmetric 17-tuplet can also be found.
But there is no guarantee that all symmetric 17-tuplets will be found, because the algorithm is aimed at finding symmetric 19-tuplets.

The search range in the second Application is part of the range of the first Application.
However, these ranges do not intersect at the moment and will not intersect anytime soon.

The starting point of the search range in the second Application is: 15716643123547101416280600.
The end point of the range is not limited.

Please ask your questions.

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The TBEG BOINC project maintains the database
https://boinc.tbrada.eu/spt/explore.php

In reply to Natalia Makarova's message of 29 Mar 2025:

Dear project participants!

The new Application has a more complex search and therefore fewer results.

We are looking for a symmetric 19-tuplet with a minimum diameter of 252 using the following pattern

0, 6, 12, 30, 42, 72, 90, 96, 120, 126, 132, 156, 162, 180, 210, 222, 240, 246, 252

This is the only theoretical pattern for symmetric 19-tuplet with a minimum diameter of 252.
See
https://oeis.org/A266512/a266512_1.txt

At the moment, only one symmetric 19-tuplet with a minimum diameter of 252 is known.
See
https://dxdy.ru/post1668659.html#p1668659

We need to find many symmetric 19-tuplets with a minimum diameter of 252.
From such a tuple, a symmetric 21-tuplet with a diameter of 360 can be obtained.
Currently, no symmetric 21-tuplet is known.

Please ask your questions.

Okay first what is a tuplet used for? ie Is it just trying to solve a math problem, trying to design a nuclear bomb casing, an airplane design, trying to solve the motion of the planets etc etc, inquiring minds want to know. BUT please keep it below College/University level speak as most of what you post I have no clue what you have said even after reading thru it several times.

ie Is it just trying to solve a math problem,

Yes )

Mathematicians have been studying the arrangement of prime numbers for a long time.
It seems that they are arranged randomly.
But this is not entirely true.

Sometimes consecutive prime numbers form such a beautiful pattern

9425346484752129657862217: [0, 6, 12, 30, 42, 72, 90, 96, 120, 126, 132, 156, 162, 180, 210, 222, 240, 246, 252]

That is, this is a sequence of prime numbers

{9425346484752129657862217, 9425346484752129657862223, 9425346484752129657862229, 9425346484752129657862247,
9425346484752129657862259, 9425346484752129657862289, 9425346484752129657862307, 9425346484752129657862313,
9425346484752129657862337, 9425346484752129657862343, 9425346484752129657862349, 9425346484752129657862373,
9425346484752129657862379, 9425346484752129657862397, 9425346484752129657862427, 9425346484752129657862439,
9425346484752129657862457, 9425346484752129657862463, 9425346484752129657862469}

However, finding such beautiful solutions is difficult.
But mathematicians are interested in it!
And so they search.

---

The TBEG BOINC project maintains the database
https://boinc.tbrada.eu/spt/explore.php

In reply to Natalia Makarova's message of 28 Apr 2025:

ie Is it just trying to solve a math problem,

Yes )

Mathematicians have been studying the arrangement of prime numbers for a long time.
It seems that they are arranged randomly.
But this is not entirely true.

Sometimes consecutive prime numbers form such a beautiful pattern

9425346484752129657862217: [0, 6, 12, 30, 42, 72, 90, 96, 120, 126, 132, 156, 162, 180, 210, 222, 240, 246, 252]

That is, this is a sequence of prime numbers

{9425346484752129657862217, 9425346484752129657862223, 9425346484752129657862229, 9425346484752129657862247,
9425346484752129657862259, 9425346484752129657862289, 9425346484752129657862307, 9425346484752129657862313,
9425346484752129657862337, 9425346484752129657862343, 9425346484752129657862349, 9425346484752129657862373,
9425346484752129657862379, 9425346484752129657862397, 9425346484752129657862427, 9425346484752129657862439,
9425346484752129657862457, 9425346484752129657862463, 9425346484752129657862469}

However, finding such beautiful solutions is difficult.
But mathematicians are interested in it!
And so they search.

Thankyou, that is pretty cool, if we could find a mathematical process to figure out what the 'next' prime number is that would be WAAAAY cool and of course cut down on the time wasted in processing the numbers between them.

I am developing new search algorithms.

I hope that we will be able to find good solutions.

---

The TBEG BOINC project maintains the database
https://boinc.tbrada.eu/spt/explore.php