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Primes of the form 3^k + 4.
14

%I #29 Nov 09 2023 11:03:09

%S 5,7,13,31,733,19687,59053,31381059613,205891132094653,

%T 109418989131512359213,1570042899082081611640534567,

%U 323257909929174534292273980721360271853391

%N Primes of the form 3^k + 4.

%H Vincenzo Librandi, <a href="/A102903/b102903.txt">Table of n, a(n) for n = 1..17</a>

%F a(n) = 3^A058958(n) + 4. - _Elmo R. Oliveira_, Nov 09 2023

%t Select[Table[3^n+4,{n,0,200}],PrimeQ] (* _Vincenzo Librandi_, Jul 19 2012 *)

%o (Magma) [a: n in [0..100] | IsPrime(a) where a is 3^n+4]; // _Vincenzo Librandi_, Jul 19 2012

%Y Cf. A000040, A058958 (associated k).

%Y Cf. Primes of the form 3^k + d: A057735 (d=2), this sequence (d=4), A102870 (d=8), A102907 (d=10), A102874 (d=14), A243437 (d=16), A102904 (d=20), A243438 (d=22), A243439 (d=26), A102906 (d=28).

%K nonn

%O 1,1

%A _Roger L. Bagula_, Mar 01 2005

%E Edited by _Zak Seidov_, Aug 29 2014