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.

A335076 Numbers that are the sum of two consecutive semiprimes and also the sum of two consecutive 3-almost primes.

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%I A335076 #36 Jun 11 2021 19:19:23
%S A335076 47,95,115,134,151,201,233,285,301,335,346,368,461,513,527,541,576,
%T A335076 640,713,787,801,810,864,907,935,944,1104,1160,1225,1245,1255,1360,
%U A335076 1397,1471,1513,1521,1574,1620,1692,1740,1775,1782,1831,1867,1873,1913,1967,2009
%N A335076 Numbers that are the sum of two consecutive semiprimes and also the sum of two consecutive 3-almost primes.
%C A335076 Apparently the sequence is infinite.
%H A335076 Zak Seidov, <a href="/A335076/b335076.txt">Table of n, a(n) for n = 1..26539</a> (all terms up to 10^6).
%e A335076 47 = 22 + 25 = A118717(8) = A001358(8) + A001358(9), and
%e A335076 47 = 20 + 27 = A014612(4) + A014612(5).
%t A335076 p[n_, m_] := Plus @@@ Partition[Select[Range[m], PrimeOmega[#] == n &], 2, 1]; m = 1100; Intersection[p[2, m], p[3, m]] (* _Amiram Eldar_, May 24 2020 *)
%Y A335076 Cf. A001358, A014612, A118717.
%K A335076 nonn
%O A335076 1,1
%A A335076 _Zak Seidov_, May 22 2020