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A379166
Numbers in A379165 that share a factor with both previous terms, in order of appearance.
2
6, 10, 18, 20, 16, 24, 28, 36, 42, 38, 40, 48, 54, 50, 56, 60, 62, 64, 72, 75, 70, 78, 74, 76, 84, 88, 96, 102, 98, 100, 108, 114, 110, 112, 118, 120, 126, 130, 132, 136, 138, 144, 150, 156, 154, 160, 162, 158, 164, 166, 168, 174, 180, 176, 182, 186, 190, 192, 194, 196, 204, 200, 206, 210, 214, 216, 228, 230, 226, 234, 240, 238, 244, 246, 248, 250, 258, 260
OFFSET
1,1
COMMENTS
See A379165 for further details.
LINKS
MATHEMATICA
nn = 2^8; c[_] := False; i = 1; j = 2; c[1] = c[2] = True; u = 3;
Reap[Do[k = u;
While[
Or[c[k], Nor[And[#1, #2], Nor[#1, #2]]] &[
CoprimeQ[k, i], CoprimeQ[k, j]], k++];
Set[{c[k], i, j}, {True, j, k}];
If[AllTrue[{{i, k}, {j, k}}, ! CoprimeQ[##] & @@ # &], Sow[k] ];
If[k == u, While[c[u], u++]], {n, 3, nn}] ][[-1, 1]] (* Michael De Vlieger, Dec 20 2024 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Scott R. Shannon, Dec 17 2024
STATUS
approved