%I #11 Sep 08 2022 08:45:17

%S 5414,12704,13019,44369,82949,98279,105524,112199,115139,123854,

%T 134249,134459,187739,188744,210164,225704,247169,256409,296309,

%U 302084,367874,375644,382889,399584,404039,476339,487829,526844,532094,566429,578084

%N Numbers k such that p1=2k+3, p2=4k+5, p3=6k+7, p4=8k+9 and p5=10k+11 are all prime.

%t Select[Range[10^6], Function[n, AllTrue[Array[2 # n + (2 # + 1) &, 5], PrimeQ]]] (* _Michael De Vlieger_, Jan 20 2018 *)

%o (Magma) [n: n in [0..10000000]|IsPrime(2*n+3) and IsPrime(4*n+5) and IsPrime(6*n+7) and IsPrime(8*n+9) and IsPrime(10*n+11)] // _Vincenzo Librandi_, Dec 16 2010

%Y Cf. A005382, A005383, A105610, A105652..A105657.

%K nonn

%O 1,1

%A _Zak Seidov_, Apr 16 2005