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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. 0
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 (list; graph; refs; listen; history; text; internal format)
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: A100210 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

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Last modified September 21 13:58 EDT 2021. Contains 347598 sequences. (Running on oeis4.)