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A079774
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Consider the triangle shown below in which the n-th row contains the n smallest terms in increasing order having a common factor > 1, the first term being the n-th composite number; sequence gives the last term of each row.
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3
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4, 8, 12, 18, 18, 22, 26, 36, 32, 36, 40, 54, 46, 50, 95, 56, 75, 62, 66, 70, 93, 76, 145, 82, 86, 114, 92, 96, 100, 132, 106, 110, 273, 116, 153, 122, 126, 240, 132, 174, 138, 142, 146, 192, 152, 290, 158, 162, 213, 168, 172, 176, 231, 182, 455, 188, 192, 252
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OFFSET
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1,1
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COMMENTS
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4
6 8
8 10 12
9 12 15 18
10 12 14 16 18
12 14 16 18 20 22
...
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LINKS
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MATHEMATICA
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A002808[n_] := Module[{resul, i}, i = 1; resul = 4; While[i < n, resul++; While[PrimeQ[resul], resul++]; i++]; Return[resul]];
A079775[n_] := Module[{a, anxt, atst }, a = {A002808[n]}; While[Length[a] < n, anxt = a[[-1]] + 1; atst = Append[a, anxt]; While[GCD @@ atst == 1, anxt++; atst = Append[a, anxt]]; a = Append[a, anxt]]; Return[a]];
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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