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A140632 Primes of the form 55x^2+10xy+199y^2. 2

%I #20 Aug 05 2014 14:16:32

%S 199,439,1039,1231,1951,2239,2551,2791,3559,3631,4759,5431,6991,7159,

%T 7591,8839,9439,10111,11119,11311,11959,13159,13711,13831,14479,14551,

%U 15391,15679,15991,16519,16831,17239,17359,17839,17911,18199,18919

%N Primes of the form 55x^2+10xy+199y^2.

%C Discriminant=-43680. Also primes of the form 159x^2+120xy+160y^2.

%C 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. - _Walter Kehowski_, Jun 01 2008

%H Vincenzo Librandi and Ray Chandler, <a href="/A140632/b140632.txt">Table of n, a(n) for n = 1..10000</a> [First 1000 terms from Vincenzo Librandi]

%H N. J. A. Sloane et al., <a href="https://oeis.org/wiki/Binary_Quadratic_Forms_and_OEIS">Binary Quadratic Forms and OEIS</a> (Index to related sequences, programs, references)

%t Union[QuadPrimes2[55, 10, 199, 10000], QuadPrimes2[55, -10, 199, 10000]] (* see A106856 *)

%Y Cf. A140633.

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 19 2008

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)