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A342302 Numbers k such that A001414(k), k+A001414(k) and 2*k+A001414(k) are prime.

%I A342302 #28 Apr 05 2021 03:58:00
%S A342302 6,12,48,90,252,294,300,420,432,720,798,864,930,1020,1140,1218,1368,
%T A342302 1428,1602,1716,1890,1938,2088,2184,2190,2196,2250,2760,2880,3588,
%U A342302 3660,3708,3774,3810,4452,4710,4902,5280,5340,5412,5754,5850,6174,6240,6462,6768,7014,7182,7632,8322,8820,9144
%N A342302 Numbers k such that A001414(k), k+A001414(k) and 2*k+A001414(k) are prime.
%C A342302 Numbers k such that A343016(k) >= 3.
%C A342302 All terms are divisible by 6.
%H A342302 Robert Israel, <a href="/A342302/b342302.txt">Table of n, a(n) for n = 1..10000</a>
%e A342302 a(3) = 48 = 2^4*3 is a term because A001414(48) = 4*2+3 = 11 and 11, 48+11 = 59 and 2*48+11 = 107 are prime.
%p A342302 filter:= proc(n) local s,t;
%p A342302 s:= add(t[1]*t[2], t=ifactors(n)[2]);
%p A342302 isprime(s) and isprime(n+s) and isprime(2*n+s)
%p A342302 end proc;
%p A342302 select(filter, [seq(i,i=6..10000,6)]);
%Y A342302 Cf. A001414, A343016.
%K A342302 nonn
%O A342302 1,1
%A A342302 _J. M. Bergot_ and _Robert Israel_, Apr 02 2021