%I #58 Nov 13 2024 11:14:36
%S 2,5,13,41,71,97,491,0,523,1181,947,769,0,1709,1291,1217,4013,2521,
%T 1901,2801,1933,3257,3221,4129,3701,4889,5563,8849,6323,5521,6263,
%U 5441,8779,7481,7841,10009,13469,12161,8971,14561,13367,19993,14621,12497,14401,14537,20117,18913,22541,22901,19687,29537
%N 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.
%C a(8) = 0 means there is NO prime satisfying the condition. a(n) is known for 1 <= n <= 2000.
%H Jeremy F. Alm, <a href="/A263308/b263308.txt">Table of n, a(n) for n = 1..2000</a>
%H Jeremy F. Alm and Jacob Manske, <a href="http://dx.doi.org/10.1016/j.dam.2014.08.002">Sum-free cyclic multi-bases and constructions of Ramsey algebras</a>, Discrete Applied Mathematics, (180), Jan 10 2015, pp. 204-212. (<a href="http://arxiv.org/abs/1307.0889">arXiv:1307.0889</a> [math.CO], 2013-2014.)
%H Jeremy F. Alm, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL20/Alm/alm.html">401 and beyond: improved bounds and algorithms for the Ramsey algebra search</a>, Journal of Integer Sequences, Vol. 20 (2017), Article 17.8.4. (Also here: <a href="https://arxiv.org/abs/1609.01817">arXiv:1609.01817</a> [math.NT], 2016.)
%H Jeremy F. Alm, <a href="https://github.com/algorithmachine/Comer-algorithms/blob/master/A263308_OEIS.py">Python program</a>.
%H Tomasz Kowalski, <a href="http://dx.doi.org/10.1007/s00012-015-0353-0">Representability of Ramsey Relation Algebras</a>, Algebra Universalis, Volume 74, Issue 3-4, November 2015, pp. 265-275.
%o (Python) # See Links section.
%K nonn
%O 1,1
%A _Jeremy F. Alm_, Oct 13 2015
%E More terms from _Jeremy F. Alm_, Sep 05 2016