A322476 - OEIS

%I #7 Dec 10 2018 02:41:05

%S 11,17,19,53,67,89,97,103,107,109,127,131,137,139,157,163,173,179,181,

%T 191,193,197,199,223,227,229,239,241,269,277,281,307,311,379,383,397,

%U 401,419,421,431,443,449,463,467,491,499,503,541,547,569,571,577,587,593,599,601,607,613

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

%C 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 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 Complement of all primes and A322475.

%H Robert Price, <a href="/A322476/b322476.txt">Table of n, a(n) for n = 1..890</a>

%t b = 11; d = {};

%t p = Select[Range[2, 10000], PrimeQ[#] &];

%t For[i = 1, i <= Length[p], i++,

%t c = IntegerDigits[p[[i]], b];

%t If[Length[c] == 1, AppendTo[d, p[[i]]]; Continue[]];

%t For[j = 1, j <= Length[c], j++,

%t t = Delete[c, j];

%t If[t[[1]] == 0, Continue[]];

%t 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 Cf. A080608, A080603, A096235-A096246, A321657.

%K nonn,base,easy

%O 1,1

%A _Robert Price_, Dec 09 2018