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%I A142728 #14 Oct 01 2024 23:18:53
%S A142728 0,1,1,35,35,39,45,45,49,75,77,81,95,105,115,119,143,145,147,159,187,
%T A142728 187,207,217,219,235,235,243,249,267,273,289,321,325,335,339,361,365,
%U A142728 369,369,381,381,395,395,411,411,417,427,441,459,465,471,471,485,485
%N A142728 Nonprimes of the form (p(n)-2*n)/3, where p(n)=n-th prime.
%H A142728 Harvey P. Dale, <a href="/A142728/b142728.txt">Table of n, a(n) for n = 1..1000</a>
%e A142728 If n=1, then (p(1)-2*1)/3=(2-2)/3=0=a(1).
%e A142728 If n=7, then (p(7)-2*7)/3=(17-14)/3=1=a(2).
%e A142728 If n=8, then (p(8)-2*8)/3=(19-16)/3=1=a(3).
%e A142728 If n=43, then (p(43)-2*43)/3=(191-86)/3=35=a(4), etc.
%t A142728 Select[Table[(Prime[n]-2n)/3,{n,0,500}],IntegerQ[#]&&!PrimeQ[#]&] (* _Harvey P. Dale_, Oct 18 2023 *)
%Y A142728 Cf. A000040, A141468.
%K A142728 nonn
%O A142728 1,4
%A A142728 _Juri-Stepan Gerasimov_, Oct 07 2008
%E A142728 Corrected (29 replaced by double-35, 39 and 45, 115 inserted, 145 inserted, 338 replaced by 339 etc.) - _R. J. Mathar_, Apr 18 2010

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