cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A364307 Numbers k such that k, k+1 and k+2 have exactly 2 distinct prime factors.

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%I A364307 #18 May 12 2025 10:01:36
%S A364307 20,33,34,38,44,50,54,55,56,74,75,85,86,91,92,93,94,98,115,116,117,
%T A364307 122,133,134,141,142,143,144,145,146,158,159,160,175,176,183,187,200,
%U A364307 201,205,206,207,212,213,214,215,216,217,224,235,247,248,295,296
%N A364307 Numbers k such that k, k+1 and k+2 have exactly 2 distinct prime factors.
%H A364307 Amiram Eldar, <a href="/A364307/b364307.txt">Table of n, a(n) for n = 1..10000</a>
%F A364307 {k: A001221(k) = A001221(k+1) = A001221(k+2) = 2}.
%e A364307 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.
%t A364307 q[n_] := q[n] = PrimeNu[n] == 2; Select[Range[300], q[#] && q[#+1] && q[#+2] &] (* _Amiram Eldar_, Oct 01 2024 *)
%Y A364307 Subsequence of A006073 and of A074851.
%Y A364307 Cf. A364308 (3 factors), A364309 (4 factors), A364266 (5 factors), A364265 (6 factors), A001221.
%Y A364307 A039833 is a subsequence.
%K A364307 nonn
%O A364307 1,1
%A A364307 _R. J. Mathar_, Jul 18 2023