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A165668 Primes of the form (p^2-2)/7, where p is also a prime number. 3
17, 41, 137, 401, 641, 761, 1697, 3257, 5657, 8297, 10337, 21617, 45281, 51257, 53681, 62417, 78017, 85361, 93497, 136361, 138041, 140297, 152441, 160817, 180161, 189257, 201281, 203321, 222857, 232961, 248537, 251561, 301601, 315881, 340121, 478937 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

FORMULA

a(n) = (A165667(n)^2-2)/7.

EXAMPLE

17=(11^2-2)/7; 41=(17^2-2)/7; 137=(31^2-2)/7.

MATHEMATICA

Select[(#^2-2)/7&/@Prime[Range[300]], PrimeQ] (* Harvey P. Dale, Nov 10 2009 *)

PROG

(PARI) lista(nn) = forprime(p=2, nn, q=(p^2-2)/7; if ((type(q)=="t_INT") && isprime(q), print1(q, ", "))); \\ Michel Marcus, Aug 19 2015

CROSSREFS

Cf. A165666, A165667.

Sequence in context: A205171 A070183 A201705 * A269425 A164602 A078847

Adjacent sequences: A165665 A165666 A165667 * A165669 A165670 A165671

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Sep 24 2009

EXTENSIONS

Entries checked by R. J. Mathar and Charles R Greathouse IV, Oct 12 2009

STATUS

approved

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Last modified March 26 14:32 EDT 2023. Contains 361549 sequences. (Running on oeis4.)