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A322476 Primes that are not base-11 deletable primes (written in base 10). 1
11, 17, 19, 53, 67, 89, 97, 103, 107, 109, 127, 131, 137, 139, 157, 163, 173, 179, 181, 191, 193, 197, 199, 223, 227, 229, 239, 241, 269, 277, 281, 307, 311, 379, 383, 397, 401, 419, 421, 431, 443, 449, 463, 467, 491, 499, 503, 541, 547, 569, 571, 577, 587, 593, 599, 601, 607, 613 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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.

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.

Complement of all primes and A322475.

LINKS

Robert Price, Table of n, a(n) for n = 1..890

MATHEMATICA

b = 11; d = {};

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

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

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

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

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

t = Delete[c, j];

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

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 *)

CROSSREFS

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

Sequence in context: A050879 A245622 A050669 * A176603 A325902 A050715

Adjacent sequences:  A322473 A322474 A322475 * A322477 A322478 A322479

KEYWORD

nonn,base,easy

AUTHOR

Robert Price, Dec 09 2018

STATUS

approved

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Last modified February 18 15:30 EST 2020. Contains 332019 sequences. (Running on oeis4.)