Search: id:A002384
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%I A002384 M0626 N0228
%S A002384 1,2,3,5,6,8,12,14,15,17,20,21,24,27,33,38,41,50,54,57,59,62,66,69,71,
%T A002384 75,77,78,80,89,90,99,101,105,110,111,117,119,131,138,141,143,147,150,
%U A002384 153,155,161,162,164,167,168,173,176,188,189,192,194,203,206,209,215
%N A002384 Numbers n such that n^2 + n + 1 is prime.
%D A002384 A. J. C. Cunningham, Binomial Factorisations, Vols. 1-9, Hodgson, London, 
               1923-1929; see Vol. 1, pp. 245-259.
%D A002384 D. H. Lehmer, Guide to Tables in the Theory of Numbers. Bulletin No. 
               105, National Research Council, Washington, DC, 1941, p. 46.
%D A002384 L. Poletti, Le serie dei numeri primi appartenente alle due forme quadratiche 
               (A) n^2+n+1 e (B) n^2+n-1 ..., Atti della Reale Accademia Nazionale 
               dei Lincei, Memorie della Classe di Scienze Fisiche, Matematiche 
               e Naturali, s. 6. 3 (1929), 193-218.
%D A002384 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A002384 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A002384 T. D. Noe, <a href="b002384.txt">Table of n, a(n) for n=1..1000</a>
%F A002384 a(n) = (A088503(n-1)-1)/2. - Chandler
%t A002384 lst={};Do[If[PrimeQ[n^2+n+1], AppendTo[lst, n]], {n, 10^4}];lst [From 
               Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 20 2008]
%Y A002384 Cf. A002383, A049407, A049408, A075723, A088503, A110284.
%Y A002384 Sequence in context: A098491 A107947 A120768 this_sequence A096176 A002243 
               A094763
%Y A002384 Adjacent sequences: A002381 A002382 A002383 this_sequence A002385 A002386 
               A002387
%K A002384 nonn,easy
%O A002384 1,2
%A A002384 N. J. A. Sloane (njas(AT)research.att.com).
%E A002384 Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Sep 07 2005

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