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

Author

Zak Seidov, Jul 28 2006

Keywords

• base
• nonn
• less

Comments

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

Examples

			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.
		

Crossrefs

Cf. A119405, A121410.

Programs

Mathematica

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