Select[Table[1000n+163, {n, 0, 150}], PrimeQ] (* This program is several hundred times more efficient that the program above. *) (* Harvey P. Dale, Jan 16 2023 *)
PROG
(Magma) [n: n in PrimesUpTo(160000) | n mod 1000 eq 163]; // Vincenzo Librandi, Jul 07 2014