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.
%I A164290 #8 Nov 21 2013 12:49:41 %S A164290 239,599,809,1319,1487,2087,2339,2969,3299,4157,4271,4787,5021,5099, %T A164290 5231,5639,5849,6359,6659,7307,7349,9431,9767,10007,10139,10331,10709, %U A164290 10889,11069,11171,11351,11549,11717,11831,11969,12539,13007,13337 %N A164290 Sequence of twin prime p where the middle term p+1 has 6 prime factors (here p+2 is the associated twin prime, not listed). %C A164290 This sequence is similar to A060213, A102168, A164289 respectively with 3, 4 and 5 prime factors in the middle number. %C A164290 These sequences are of the form (p,p+1,p+2) with (p,p+2) twin primes and Omega(p+1)=m with m>=3 (m=1 or m=2 is impossible). Here m=6. %H A164290 Vincenzo Librandi, <a href="/A164290/b164290.txt">Table of n, a(n) for n = 1..2000</a> %e A164290 (239, 240, 241): Omega(240)=Omega(2*2*2*2*3*5)=6 and 239, 241 are twin primes. %t A164290 Omega = If[ # == 1, 0, Apply[Plus, Transpose[FactorInteger[ # ]][[2]]]] &; Wmil = Map[Omega, Range[1, 30000]]; Asequence = Flatten@Position[Partition[Wmil, 3, 1], {1, 6, 1}] %t A164290 Transpose[Select[Partition[Prime[Range[1600]],2,1],#[[2]]-#[[1]]==2 && PrimeOmega[ #[[1]]+1]==6&]][[1]] (* _Harvey P. Dale_, May 15 2012 *) %Y A164290 Cf. A060213, A102168, A164289, A164291. %K A164290 nonn %O A164290 1,1 %A A164290 _Carlos Alves_, Aug 12 2009