A263308 Smallest prime modulus p such that there exists a multiplicative-coset Ramsey algebra in n colors over Z/pZ, or 0 if no such prime exists.
2, 5, 13, 41, 71, 97, 491, 0, 523, 1181, 947, 769, 0, 1709, 1291, 1217, 4013, 2521, 1901, 2801, 1933, 3257, 3221, 4129, 3701, 4889, 5563, 8849, 6323, 5521, 6263, 5441, 8779, 7481, 7841, 10009, 13469, 12161, 8971, 14561, 13367, 19993, 14621, 12497, 14401, 14537, 20117, 18913, 22541, 22901, 19687, 29537
Offset: 1
Keywords
Links
- Jeremy F. Alm, Table of n, a(n) for n = 1..2000
- Jeremy F. Alm and Jacob Manske, Sum-free cyclic multi-bases and constructions of Ramsey algebras, Discrete Applied Mathematics, (180), Jan 10 2015, pp. 204-212. (arXiv:1307.0889 [math.CO], 2013-2014.)
- Jeremy F. Alm, 401 and beyond: improved bounds and algorithms for the Ramsey algebra search, Journal of Integer Sequences, Vol. 20 (2017), Article 17.8.4. (Also here: arXiv:1609.01817 [math.NT], 2016.)
- Jeremy F. Alm, Python program.
- Tomasz Kowalski, Representability of Ramsey Relation Algebras, Algebra Universalis, Volume 74, Issue 3-4, November 2015, pp. 265-275.
Programs
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Python
# See Links section.
Extensions
More terms from Jeremy F. Alm, Sep 05 2016
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