

A076727


Primes of the form x^2 + (x+3)^2.


2



17, 29, 89, 149, 269, 317, 617, 929, 1109, 1409, 2969, 3449, 3617, 4517, 5309, 6389, 7817, 8069, 8849, 12329, 14969, 17117, 17489, 21017, 23117, 23549, 27617, 30509, 32009, 33029, 34589, 35117, 41189, 42929, 43517, 47129, 48989, 52817, 60209
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OFFSET

1,1


COMMENTS

Each prime of the form 4k+1 has a unique representation as x^2+y^2; these primes have yx=3.


LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000


MATHEMATICA

Select[Table[2*n^2+6*n+9, {n, 0, 300}], PrimeQ] (* Vincenzo Librandi, Jul 15 2012


PROG

(MAGMA) [a: n in [0..200]  IsPrime(a) where a is 2*n^2+6*n+9]; // Vincenzo Librandi, Jul 15 2012


CROSSREFS

Cf. A002144, A027862.
Sequence in context: A196938 A225943 A069755 * A146870 A146744 A103304
Adjacent sequences: A076724 A076725 A076726 * A076728 A076729 A076730


KEYWORD

easy,nonn


AUTHOR

Cino Hilliard, Oct 28 2002


EXTENSIONS

Edited by Don Reble, May 03 2006


STATUS

approved



