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A164041 Primes of the form 2*p^2+4*p+1, where p is also prime. 1
17, 31, 71, 127, 647, 1151, 2887, 3527, 7687, 12799, 19207, 20807, 23327, 34847, 39199, 49927, 53791, 73727, 79999, 103967, 117127, 145799, 172871, 194687, 220447, 279751, 294911, 323207, 336199, 387199, 394271, 419527, 438047, 587527, 649799, 724807 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

A subsequence of the primes of the form 2k^2+4k+1 = 2*(k+1)^2-1, A066436. - R. J. Mathar, Aug 10 2009

FORMULA

a(n) = 2*(A164042(n))^2+4*A164042(n)+1.

MATHEMATICA

lst={}; Do[p=Prime@n; a=2*p^2+4*p+1; If[PrimeQ@a, AppendTo[lst, a]], {n, 7!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 12 2009]

CROSSREFS

Sequence in context: A134076 A160961 A167496 * A085598 A163443 A027722

Adjacent sequences:  A164038 A164039 A164040 * A164042 A164043 A164044

KEYWORD

nonn

AUTHOR

Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 08 2009

EXTENSIONS

a(29) corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 11 2009

Edited by N. J. A. Sloane, Aug 11 2009

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Last modified February 16 14:37 EST 2012. Contains 205930 sequences.