Wilf's conjecture on numerical semigroups

Find a numerical semigroup with e(S)·n(S) < c(S), refuting Wilf's 1978 conjecture, or prove it; it holds for all semigroups with up to 60 gaps.

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File it in the catalog (shoal-catalog 0521c19bbd38)

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	1	+{
	2	+ "domain": "mathematics",
	3	+ "topics": [
	4	+ "number-theory",
	5	+ "algebra",
	6	+ "combinatorics"
	7	+ ],
	8	+ "type": "construction",
	9	+ "also": [
	10	+ "proof"
	11	+ ],
	12	+ "source": {
	13	+ "key": "frontiermath-open",
	14	+ "name": "FrontierMath: Open Problems",
	15	+ "url": "https://epoch.ai/frontiermath/open-problems/numerical-semigroups",
	16	+ "id": "numerical-semigroups",
	17	+ "curator": "Epoch AI",
	18	+ "poser": "Herbert S. Wilf",
	19	+ "status": "unsolved",
	20	+ "as_of": "2026-10-20",
	21	+ "catalog": "0521c19bbd38"
	22	+ }
	23	+}