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A153219 Numbers n such that 6*n + 7 is not prime. 3

%I #18 Sep 08 2022 08:45:39

%S 3,7,8,13,14,18,19,21,23,27,28,30,33,35,38,40,41,42,43,47,48,49,52,53,

%T 56,58,59,63,64,66,68,70,73,74,77,78,79,81,83,84,85,87,88,91,92,93

%N Numbers n such that 6*n + 7 is not prime.

%C One less than the associated entry in A046954. - _R. J. Mathar_, Jan 05 2011

%H Vincenzo Librandi, <a href="/A153219/b153219.txt">Table of n, a(n) for n = 1..1000</a>

%e Distribution of the terms in the following triangular array:

%e *;

%e *,3;

%e *,*,7;

%e *,*,*,*;

%e *,8,*,*,19;

%e *,*,14,*,*,27;

%e *,*, *,*,*, *,*;

%e *,13,*,*,30,*,*,47;

%e *,*,21,*,*,40,*,*,59;

%e *,*,*, *,*, *,*,*, *,*;

%e *,18,*,*,41,*,*,64,*,*,87;

%e *,*,28,*,*,53,*,*,78,*,*,103; etc.

%e where * marks the non-integer values of (2*h*K + k + h - 3)/3 with h >= k >= 1. - _Vincenzo Librandi_, Jan 15 2013

%t Select[Range[0, 200], !PrimeQ[6 # + 7] &] (* _Vincenzo Librandi_, Jan 12 2013 *)

%o (Magma) [n: n in [0..110] | not IsPrime(6*n+7)]; // _Vincenzo Librandi_, Jan 12 2013

%Y Cf. A153218.

%K nonn,easy

%O 1,1

%A _Vincenzo Librandi_, Dec 21 2008

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