A322477 -id:A322477 - cp's OEIS frontend

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

13, 73, 97, 109, 157, 193, 241, 313, 337, 397, 409, 421, 431, 577, 601, 631, 661, 673, 691, 797, 877, 929, 937, 941, 1009, 1019, 1021, 1033, 1063, 1093, 1103, 1117, 1123, 1129, 1151, 1153, 1201, 1249, 1297, 1303, 1307, 1321, 1381, 1429, 1439, 1453, 1489, 1549, 1597, 1609, 1619, 1657, 1693, 1741

Offset: 1

Robert Price, Dec 09 2018

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 A322477.

Robert Price, Table of n, a(n) for n = 1..319

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

b = 12; 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 *)

cp's OEIS Frontend

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

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