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A176616 Primes of the form x^2 + 7*y^2, where x and y=x+1 are consecutive natural numbers. 4
7, 29, 67, 191, 277, 379, 631, 947, 1129, 1327, 2017, 2557, 2851, 4561, 4951, 5779, 6217, 8647, 9181, 12721, 13367, 14029, 15401, 16111, 17579, 20707, 21529, 22367, 24091, 24977, 31627, 36857, 37951, 42487, 43661, 44851, 47279, 53629, 58997 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Primes of the form 8*n^2+14*n+7 = (2*n+2)*(4*n+3)+1 = A000384(2*n+2)+1. - Vincenzo Librandi, Apr 25 2010

LINKS

Table of n, a(n) for n=0..38.

PROG

(MAGMA) [ a: n in [0..250] | IsPrime(a) where a is 8*n^2+14*n+7 ] // Vincenzo Librandi, Apr 25 2010

CROSSREFS

Cf. A176608.

A285790 is an almost identical sequence.

Sequence in context: A022272 A185438 A265803 * A231988 A141854 A267290

Adjacent sequences:  A176613 A176614 A176615 * A176617 A176618 A176619

KEYWORD

nonn

AUTHOR

Giovanni Teofilatto, Apr 22 2010

EXTENSIONS

Definition made more accurate by R. J. Mathar, May 04 2010

Corrected (inserted 7) and extended by Vincenzo Librandi, Apr 25 2010

STATUS

approved

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Last modified August 18 09:26 EDT 2022. Contains 356204 sequences. (Running on oeis4.)