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A322478 Primes that are not base-12 deletable primes (written in base 10).

%I A322478 #7 Dec 10 2018 02:40:46
%S A322478 13,73,97,109,157,193,241,313,337,397,409,421,431,577,601,631,661,673,
%T A322478 691,797,877,929,937,941,1009,1019,1021,1033,1063,1093,1103,1117,1123,
%U A322478 1129,1151,1153,1201,1249,1297,1303,1307,1321,1381,1429,1439,1453,1489,1549,1597,1609,1619,1657,1693,1741
%N A322478 Primes that are not base-12 deletable primes (written in base 10).
%C A322478 A prime p is a base-b deletable prime if when written in base b it has the property that removing some digit leaves either the empty string or another deletable prime.
%C A322478 Deleting a digit cannot leave any leading zeros in the new string. For example, deleting the 2 in 2003 to obtain 003 is not allowed.
%C A322478 Complement of all primes and A322477.
%H A322478 Robert Price, <a href="/A322478/b322478.txt">Table of n, a(n) for n = 1..319</a>
%t A322478 b = 12; d = {};
%t A322478 p = Select[Range[2, 10000], PrimeQ[#] &];
%t A322478 For[i = 1, i <= Length[p], i++,
%t A322478 c = IntegerDigits[p[[i]], b];
%t A322478 If[Length[c] == 1, AppendTo[d, p[[i]]]; Continue[]];
%t A322478 For[j = 1, j <= Length[c], j++,
%t A322478 t = Delete[c, j];
%t A322478 If[t[[1]] == 0, Continue[]];
%t A322478 If[MemberQ[d, FromDigits[t, b]], AppendTo[d, p[[i]]]; Break[]]]]; Complement[Table[Prime[n], {n, PrimePi[Last[d]]}], d] (* _Robert Price_, Dec 09 2018 *)
%Y A322478 Cf. A080608, A080603, A096235-A096246, A321657.
%K A322478 nonn,base,easy
%O A322478 1,1
%A A322478 _Robert Price_, Dec 09 2018