A138665 - OEIS

%I #8 Jul 31 2013 12:54:51

%S 223,257,337,439,569,607,677,821,1229,1471,1607,1999,2113,2417,2459,

%T 3061,3251,3463,3917,4003,4243,4673,4951,5387,5521,5839,5927,6551,

%U 8867,9133,9587,10061,10909,11057,11257,11383,11597,11677,11909,12377,14051,14533

%N Primes of the form 2*p(k)+3*p(k+1)+4*p(k+2) for some k, where p(k)=A000040(k).

%H Harvey P. Dale, <a href="/A138665/b138665.txt">Table of n, a(n) for n = 1..1000</a>

%e 223=2*19+3*23+4*29,

%e 569=2*59+3*61+4*67,

%e 71011=2*7879+3*7883+4*7901,

%e 940483=2*104479+3*104491+4*104513,

%e 11694107=2*1299341+3*1299343+4*1299349,

%e 139372099=2*15485773+3*15485783+4*139372099,

%e 1614810061=2*179423329+3*179423333+4*179423351,

%e 18342658199=2*2038073129+3*2038073131+4*2038073137,

%e 205215855233=2*22801761659+3*22801761677+4*22801761721.

%e Apparently there are infinitely many such primes.

%t Select[2#[[1]]+3#[[2]]+4#[[3]]&/@Partition[Prime[Range[250]],3,1],PrimeQ] (* _Harvey P. Dale_, Jul 31 2013 *)

%Y Cf. A000040.

%K nonn

%O 1,1

%A _Zak Seidov_, Mar 26 2008

%E Corrected by _Harvey P. Dale_, Jul 31 2013