Search: id:A140632
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%I A140632
%S A140632 199,439,1039,1231,1951,2239,2551,2791,3559,3631,4759,5431,6991,7159,
%T A140632 7591,8839,9439,10111,11119,11311,11959,13159,13711,13831,14479,14551,
%U A140632 15391,15679,15991,16519,16831,17239,17359,17839,17911,18199,18919
%N A140632 Primes of the form 55x^2+10xy+199y^2.
%C A140632 Discriminant=-43680. Also primes of the form 159x^2+120xy+160y^2.
%C A140632 In base 12, the sequence is 147, 307, 727, 867, 1167, 1367, 1587, 1747, 
               2087, 2127, 2907, 3187, 4067, 4187, 4487, 5147, 5567, 5X27, 6527, 
               6667, 6E07, 7747, 7E27, 8007, 8467, 8507, 8XX7, 90X7, 9307, 9687, 
               98X7, 9E87, X067, X3X7, X447, X647, XE47, where X is 10 and E is 
               11. Moreover, the discriminant is -21340. Keep in mind that 12 is 
               a canonical base for mathematics in general since any prime greater 
               than 3 is of the form 6k+-1, any prime of the form 4k+1 is a sum 
               of squares while any prime of the form 4k+3 is never a sum of squares 
               and lcm(6,4)=12. - Walter A. Kehowski (wkehowski(AT)cox.net), Jun 
               01 2008
%t A140632 Union[QuadPrimes[55, 10, 199, 10000], QuadPrimes[55, -10, 199, 10000]] 
               (* see A106856 *)
%Y A140632 Cf. A140633.
%Y A140632 Sequence in context: A004946 A157955 A033168 this_sequence A142814 A105975 
               A095995
%Y A140632 Adjacent sequences: A140629 A140630 A140631 this_sequence A140633 A140634 
               A140635
%K A140632 nonn,easy
%O A140632 1,1
%A A140632 T. D. Noe (noe(AT)sspectra.com), May 19 2008

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