401 and beyond: improved bounds and algorithms for the Ramsey algebra search
arXiv:1609.01817
Abstract
In this paper, we discuss an improvement of an algorithm to search for primes and coset-partitions of Z/pZ* that yield Ramsey algebras over Z/pZ. We also prove an upper bound on the modulus p in terms of the number of cosets. We have, as a corollary, that there is no prime for which there exists a partition of Z/pZ* into 13 cosets that yields a 13-color Ramsey algebra. Thus A263308(13) = 0.