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A322476 Primes that are not base-11 deletable primes (written in base 10).

%I A322476 #7 Dec 10 2018 02:41:05
%S A322476 11,17,19,53,67,89,97,103,107,109,127,131,137,139,157,163,173,179,181,
%T A322476 191,193,197,199,223,227,229,239,241,269,277,281,307,311,379,383,397,
%U A322476 401,419,421,431,443,449,463,467,491,499,503,541,547,569,571,577,587,593,599,601,607,613
%N A322476 Primes that are not base-11 deletable primes (written in base 10).
%C A322476 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 A322476 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 A322476 Complement of all primes and A322475.
%H A322476 Robert Price, <a href="/A322476/b322476.txt">Table of n, a(n) for n = 1..890</a>
%t A322476 b = 11; d = {};
%t A322476 p = Select[Range[2, 10000], PrimeQ[#] &];
%t A322476 For[i = 1, i <= Length[p], i++,
%t A322476 c = IntegerDigits[p[[i]], b];
%t A322476 If[Length[c] == 1, AppendTo[d, p[[i]]]; Continue[]];
%t A322476 For[j = 1, j <= Length[c], j++,
%t A322476 t = Delete[c, j];
%t A322476 If[t[[1]] == 0, Continue[]];
%t A322476 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 A322476 Cf. A080608, A080603, A096235-A096246, A321657.
%K A322476 nonn,base,easy
%O A322476 1,1
%A A322476 _Robert Price_, Dec 09 2018