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Numbers n such that 11*n - 2 is prime.
1

%I #20 Sep 08 2022 08:45:19

%S 3,5,9,15,21,23,29,35,41,59,63,69,75,83,89,93,99,101,105,119,125,131,

%T 135,141,143,149,159,171,173,183,191,195,209,213,225,231,243,245,255,

%U 269,273,275,279,281,293,303,315,321,329,339,345,353,359,365,369,371

%N Numbers n such that 11*n - 2 is prime.

%H Robert Israel, <a href="/A107994/b107994.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = (A141856(n)+2)/11. - _Robert Israel_, Oct 04 2019

%e If n=3, then 11*n - 2 = 31 (prime).

%e If n=59, then 11*n - 2 = 647 (prime).

%p select(t -> isprime(11*t-2), [seq(i,i=1..1000,2)]); # _Robert Israel_, Oct 04 2019

%t Select[Range[500],PrimeQ[11#-2]&] (* _Harvey P. Dale_, Mar 11 2011 *)

%o (Magma) [n: n in [1..100000] | IsPrime(11*n-2)] // _Vincenzo Librandi_, Nov 13 2010

%o (PARI) is(n)=isprime(11*n-2) \\ _Charles R Greathouse IV_, Jun 13 2017

%Y Cf. A141856.

%K nonn,easy

%O 1,1

%A _Parthasarathy Nambi_, Jun 14 2005