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Numbers n that are divisible by at least one twin prime (A001097), and furthermore, if a twin prime p divides n, then the other twin q also divides n.
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%I #33 Aug 18 2017 10:17:48

%S 15,30,35,45,60,70,75,90,105,120,135,140,143,150,165,175,180,195,210,

%T 225,240,245,255,270,280,285,286,300,315,323,330,345,350,360,375,385,

%U 390,405,420,429,435,450,455,465,480,490,495,510,525,540,555,560,570

%N Numbers n that are divisible by at least one twin prime (A001097), and furthermore, if a twin prime p divides n, then the other twin q also divides n.

%C Numbers that are divisible by both primes of some twin-prime pair. _Harvey P. Dale_, Aug 18 2017

%C By definition, if k is in the sequence, then so is every positive multiple of k. - _Richard Locke Peterson_, Aug 17 2017

%H Harvey P. Dale, <a href="/A079877/b079877.txt">Table of n, a(n) for n = 1..1000</a>

%e 429 = 3*11*13 = 3*A001359(3)*A006512(3), therefore 429 is a term.

%t Select[Range[600],MemberQ[Differences[Transpose[FactorInteger[#]][[1]]], 2]&] (* _Harvey P. Dale_, Sep 19 2011 *)

%Y Cf. A001097, A001359, A006512, A037074, A062505, A074480, A289484.

%K nonn

%O 1,1

%A _Reinhard Zumkeller_, Feb 20 2003

%E Definition clarified by _N. J. A. Sloane_, Aug 18 2017