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A165668 Primes of the form (p^2-2)/7, where p is also a prime number. 3

%I #10 Aug 19 2015 15:07:05

%S 17,41,137,401,641,761,1697,3257,5657,8297,10337,21617,45281,51257,

%T 53681,62417,78017,85361,93497,136361,138041,140297,152441,160817,

%U 180161,189257,201281,203321,222857,232961,248537,251561,301601,315881,340121,478937

%N Primes of the form (p^2-2)/7, where p is also a prime number.

%H Vincenzo Librandi, <a href="/A165668/b165668.txt">Table of n, a(n) for n = 1..1000</a>

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

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

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

%o (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

%Y Cf. A165666, A165667.

%K nonn,easy

%O 1,1

%A _Vincenzo Librandi_, Sep 24 2009

%E Entries checked by _R. J. Mathar_ and _Charles R Greathouse IV_, Oct 12 2009

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Last modified April 24 07:06 EDT 2024. Contains 371920 sequences. (Running on oeis4.)