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A364307
Numbers k such that k, k+1 and k+2 have exactly 2 distinct prime factors.
4
20, 33, 34, 38, 44, 50, 54, 55, 56, 74, 75, 85, 86, 91, 92, 93, 94, 98, 115, 116, 117, 122, 133, 134, 141, 142, 143, 144, 145, 146, 158, 159, 160, 175, 176, 183, 187, 200, 201, 205, 206, 207, 212, 213, 214, 215, 216, 217, 224, 235, 247, 248, 295, 296
OFFSET
1,1
LINKS
FORMULA
{k: A001221(k) = A001221(k+1) = A001221(k+2) = 2}.
EXAMPLE
44 = 2^2*11 has 2 distinct prime factors, and so has 45 = 3^2*5 and so has 46 = 2*23, so 44 is in the sequence.
MATHEMATICA
q[n_] := q[n] = PrimeNu[n] == 2; Select[Range[300], q[#] && q[#+1] && q[#+2] &] (* Amiram Eldar, Oct 01 2024 *)
CROSSREFS
Subsequence of A006073 and of A074851.
Cf. A364308 (3 factors), A364309 (4 factors), A364266 (5 factors), A364265 (6 factors), A001221.
Sequence in context: A124665 A134989 A119873 * A075230 A165236 A067468
KEYWORD
nonn
AUTHOR
R. J. Mathar, Jul 18 2023
STATUS
approved