A121409 Prime numbers p such that p and prime(p) have no common decimal digit and prime(p) and prime(prime(p)) have no common decimal digit.

2, 3, 17, 19, 89, 317, 563, 1091, 2099, 3181, 5023, 44221, 53899, 410747, 410801, 448373, 451181, 481133, 519151, 617657, 738523, 882979, 992087, 1611433, 2167421, 2688299, 2723627, 2811089, 3331033, 3411043, 3499411, 3983911, 3988889, 6233933

Offset

1,1

Comments

Subsequence of A119405. Positions of a(n) in A119405: A121410.

Links

Table of n, a(n) for n=1..34.

Example

992087 is a term because p(992087)=15353531, p(15353531)=282479297, and 992087 and 15353531 have no common decimal digit, nor do 15353531 and 282479297.

Mathematica

Select[Prime[Range[10^6]], ContainsNone[IntegerDigits[#], IntegerDigits[Prime[#]]]&&ContainsNone[IntegerDigits[Prime[#]], IntegerDigits[Prime[Prime[#]]]]&] (* James C. McMahon, Oct 18 2024 *)

Crossrefs

Cf. A119405, A121410.

Sequence in context: A154274 A235628 A140834 * A041295 A128845 A128851

Adjacent sequences: A121406 A121407 A121408 * A121410 A121411 A121412

Keyword

base,nonn,less

Author

Zak Seidov, Jul 28 2006

Status

approved