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A321701 Primes that are not base-5 deletable primes (written in base 10).

%I A321701 #11 Dec 06 2018 19:23:15
%S A321701 5,29,31,41,43,83,101,109,127,131,139,149,151,157,163,167,173,179,181,
%T A321701 191,193,199,211,223,229,233,241,251,257,277,281,283,293,313,331,349,
%U A321701 383,401,409,419,421,431,433,443,457,461,463,467,491,499,509,521,541,577,587,593,599
%N A321701 Primes that are not base-5 deletable primes (written in base 10).
%C A321701 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 A321701 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 A321701 Complement of all primes and A321700.
%H A321701 Robert Price, <a href="/A321701/b321701.txt">Table of n, a(n) for n = 1..31550</a>
%t A321701 b = 5; d = {};
%t A321701 p = Select[Range[2, 10000], PrimeQ[#] &];
%t A321701 For[i = 1, i <= Length[p], i++,
%t A321701   c = IntegerDigits[p[[i]], b];
%t A321701   If[Length[c] == 1, AppendTo[d, p[[i]]]; Continue[]];
%t A321701   For[j = 1, j <= Length[c], j++,
%t A321701    t = Delete[c, j];
%t A321701    If[t[[1]] == 0, Continue[]];
%t A321701 If[MemberQ[d, FromDigits[t, b]], AppendTo[d, p[[i]]]; Break[]]]]; Complement[Table[Prime[n], {n, PrimePi[Last[d]]}], d] (* _Robert Price_, Dec 06 2018 *)
%Y A321701 Cf. A080608, A080603, A096235-A096246, A321657.
%K A321701 nonn,base,easy
%O A321701 1,1
%A A321701 _Robert Price_, Nov 17 2018