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.

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).

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%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