%I #8 Jun 02 2018 13:08:26
%S 5,13,41,101,277,491,0,577,1181,1409,1201,0,2801,2851,1217,4013,3061,
%T 1901,4241,9619,10781,6947,7681,8501,11597,14149,18089,10847
%N Largest 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(n) <= n^4 + 5 (cf. Alm, 2017). There cannot be arbitrarily large multiplicative-coset Ramsey algebras in a fixed number of colors.
%C a(n) < A294676(n).
%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.)
%Y Cf. A263308, A294676.
%K nonn,more
%O 2,1
%A _Jeremy F. Alm_, Jun 01 2018