Search: id:A098828
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%I A098828
%S A098828 3,11,23,59,83,179,263,311,419,479,683,839,1103,1511,2111,2243,2663,
%T A098828 2963,3119,4139,4703,5099,5303,5939,7079,10223,11399,12011,12323,12959,
%U A098828 17483,19403,21011,21839,22259,24419,25763,27143,27611,28559,30011
%N A098828 Primes of the form 3x^2 - y^2, where x and y are two consecutive numbers.
%C A098828 Equivalently primes of the form 2n^2 - 2n - 1. a(n)==3 (mod 4).
%C A098828 Equivalently primes p such that 2p+3 is square.
%C A098828 The sequence "primes of the form p=2n(n+3)+3 such that 2^(p-1)+3 is not 
               prime" results in the same set of terms except for the initial 3. 
               - Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Jan 03 2009; M. 
               F. Hasler, Jan 07 2009; R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Jan 14 2009.
%F A098828 a(n) = (A109367(n) - 3)/2.
%t A098828 Select[Table[Prime[n], {n, 3500}], IntegerQ[(2# + 3)^(1/2)] &] (*Chandler*)
%Y A098828 Cf. A109358, A109367.
%Y A098828 Cf. A153238
%Y A098828 Sequence in context: A145473 A128928 A145477 this_sequence A165635 A032026 
               A158034
%Y A098828 Adjacent sequences: A098825 A098826 A098827 this_sequence A098829 A098830 
               A098831
%K A098828 nonn
%O A098828 1,1
%A A098828 Giovanni Teofilatto (g.teofilatto(AT)tiscalinet.it), Oct 09 2004
%E A098828 Corrected by Ray Chandler (rayjchandler(AT)sbcglobal.net), Oct 26 2004
%E A098828 Edited by N. J. A. Sloane (njas(AT)research.att.com), Jan 25 2009

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