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A139879
Primes of the form 12x^2+12xy+17y^2.
2
17, 41, 89, 257, 353, 521, 593, 761, 857, 881, 929, 1049, 1097, 1193, 1217, 1361, 1433, 1553, 1601, 1697, 1721, 1889, 2273, 2393, 2441, 2609, 2729, 2777, 2897, 3041, 3209, 3449, 3617, 3881, 4049, 4073, 4217, 4241, 4289, 4409, 4457, 4721
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OFFSET
1,1
COMMENTS
Discriminant=-672. See
A139827
for more information.
Also primes of the forms 17x^2+10xy+41y^2 and 17x^2+4xy+20y^2. See
A140633
. -
T. D. Noe
, May 19 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)
FORMULA
The primes are congruent to {17, 41, 89} (mod 168).
MATHEMATICA
QuadPrimes2[12, -12, 17, 10000] (* see
A106856
*)
PROG
(Magma) [ p: p in PrimesUpTo(6000) | p mod 168 in {17, 41, 89}]; //
Vincenzo Librandi
, Jul 30 2012
CROSSREFS
Sequence in context:
A087877
A107181
A158014
*
A281792
A070179
A293394
Adjacent sequences:
A139876
A139877
A139878
*
A139880
A139881
A139882
KEYWORD
nonn
,
easy
AUTHOR
T. D. Noe
, May 02 2008
EXTENSIONS
Corrected and extended b-file -
Ray Chandler
, Jul 31 2014
STATUS
approved