Van Der Waerden Numbers

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KW5
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#2 Post by KW5 » 11.03.2015, 01:19

Es wäre vom erheblichen Vorteil, wenn die Projektleitung der Primevermutung diese zu groß geratene Zahlentabelle wo anders hin verlinkt, und den ganzen Index mal BOINC gemäß in den Standard lay-outed, Das geht ja gar nicht, was da bis jetzt geschah.
Reb, mach du das mal, die können das nicht.

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DoctorNow
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#3 Post by DoctorNow » 27.10.2016, 15:34

Schade, noch ein Projekt weniger:
Paper Posted; End of Project
27 Oct 2016, 1:29:07 UTC

Sorry for my recent inactivity. A paper has been posted on arxiv for this project at https://arxiv.org/abs/1603.03301, and has been submitted for publication. I would like to thank all the volunteers who contributed their resources to this project. The project will no longer generate new work, but will incorporate any results received.
Thread kann also stillgelegt werden...
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DoctorNow
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Re: Van Der Waerden Numbers

#4 Post by DoctorNow » 04.01.2021, 11:06

Überraschenderweise meldete sich das Projekt zum Jahreswechsel mit neuer Arbeit zurück:
29 Dec 2020, 18:19:49 UTC Revival of the Project
This project is in the process of being revived in light of comments I have received that optimal primes for two colors and large lengths exhibit strange properties. In particular, the best primes for lengths 23, 24, and 25 are one more than 6 * p, 4 * 47 * p, and 2 * 24 * p, the ps all being primes. Striking in particular is the multiplicative composition of the latter two; 24 = 25 - 1 and 47 = 2 * 24 - 1.

Loop unrolling, faster progression checking, and bit packing have made for a much faster program, making it feasible to run the two-color case up to 4 billion. The computation should give insight into:
The growth of low-color, high-length van der Waerden numbers
The additive distribution of quadratic residues modulo a prime
Zwischenzeitlich war die Homepage etwas zerschossen, jetzt kann man sich aber wieder anmelden.
Damit kommt der Thread zurück in die Mathe-Kategorie.
Life is Science, and Science rules. To the universe and beyond
Member of BOINC@Heidelberg + BOINC Confederation
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