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Numbers k such that the string 100k001 is prime.
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%I #14 Jan 18 2024 04:28:46

%S 3,8,12,21,23,38,42,45,48,51,54,56,59,69,72,83,86,92,93,105,111,113,

%T 131,135,137,159,161,162,174,176,183,203,207,209,210,228,230,237,245,

%U 246,249,260,264,267,273,287,300,324,327,330,336,341,345,362,386,390,396

%N Numbers k such that the string 100k001 is prime.

%e 93 is a term, as 10093001 is prime.

%t Select[Range[400],PrimeQ[FromDigits[Flatten[Prepend[IntegerDigits[1000#+1],{1,0,0}]]]]&] (* _James C. McMahon_, Jan 17 2024 *)

%Y Cf. A099678.

%K base,nonn,less

%O 1,1

%A _Parthasarathy Nambi_, Mar 30 2005

%E More terms from _David Wasserman_, Apr 24 2008