A305464 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.

5, 13, 41, 101, 277, 491, 0, 577, 1181, 1409, 1201, 0, 2801, 2851, 1217, 4013, 3061, 1901, 4241, 9619, 10781, 6947, 7681, 8501, 11597, 14149, 18089, 10847

Offset

2,1

Comments

a(n) <= n^4 + 5 (cf. Alm, 2017). There cannot be arbitrarily large multiplicative-coset Ramsey algebras in a fixed number of colors.

a(n) < A294676(n).

Links

Table of n, a(n) for n=2..29.

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.)

Crossrefs

Cf. A263308, A294676.

Sequence in context: A359730 A080267 A034735 * A200150 A287017 A229747

Adjacent sequences: A305461 A305462 A305463 * A305465 A305466 A305467

Keyword

nonn,more

Author

Jeremy F. Alm, Jun 01 2018

Status

approved