

A140623


Primes of the form 35x^2+30xy+51y^2.


1



131, 179, 251, 419, 491, 659, 971, 1091, 1499, 1811, 1979, 2339, 2531, 2939, 3251, 3299, 3371, 3539, 3779, 3851, 4091, 4211, 4931, 5099, 5171, 5651, 6491, 6659, 6899, 6971, 7019, 7211, 7331, 8219, 8291, 9491, 9539, 9851, 10091, 10139, 10331
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OFFSET

1,1


COMMENTS

Discriminant=6240. Also primes of the form 36x^2+12xy+131y^2.
In base 12, the sequence is XE, 12E, 18E, 2XE, 34E, 46E, 68E, 76E, X4E, 106E, 118E, 142E, 156E, 184E, 1X6E, 1XXE, 1E4E, 206E, 222E, 228E, 244E, 252E, 2X2E, 2E4E, 2EXE, 332E, 390E, 3X2E, 3EXE, 404E, 408E, 420E, 42XE, 490E, 496E, 55XE, 562E, 584E, 5X0E, 5X4E, 5E8E, where X is 10 and E is 11. Moreover, the discriminant is 3740.  Walter Kehowski, Jun 01 2008


LINKS

Vincenzo Librandi and Ray Chandler, Table of n, a(n) for n = 1..10000 [First 1000 terms from Vincenzo Librandi]
N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references)


MATHEMATICA

Union[QuadPrimes2[35, 30, 51, 10000], QuadPrimes2[35, 30, 51, 10000]] (* see A106856 *)


CROSSREFS

Cf. A140633.
Sequence in context: A132254 A087832 A335271 * A050261 A180544 A032750
Adjacent sequences: A140620 A140621 A140622 * A140624 A140625 A140626


KEYWORD

nonn,easy


AUTHOR

T. D. Noe, May 19 2008


EXTENSIONS

Corrected and extended bfile  Ray Chandler, Aug 02 2014


STATUS

approved



