A261823 Minimal nested palindromic primes with seed 6.

6, 10601, 3106013, 19310601391, 3193106013913, 30319310601391303, 3303193106013913033, 333031931060139130333, 33330319310601391303333, 303333031931060139130333303, 1130333303193106013913033330311, 19113033330319310601391303333031191

Offset: 1

Author

Clark Kimberling, Sep 23 2015

Keywords

• nonn
• easy
• base

Comments

Let s be a palindrome and put a(1) = s. Let a(2) be the least palindromic prime having s in the middle; for n > 2, let a(n) be the least palindromic prime have a(n-1) in the middle. Then (a(n)) is the sequence of minimal nested palindromic primes with seed s.

Examples

			As a triangle:
........6
......10601
.....3106013
...19310601391
..3193106013913
30319310601391303
		

Links

• Clark Kimberling, Table of n, a(n) for n = 1..200

Crossrefs

Cf. A261881 (seed 0, with guide to related sequences).

Programs

Mathematica

s = {6}; Do[NestWhile[# + 1 &, 1, ! PrimeQ[tmp = FromDigits[Join[#, IntegerDigits[Last[s]], Reverse[#]] &[IntegerDigits[#]]]] &]; AppendTo[s, tmp], {15}]; s
(* Peter J. C. Moses, Sep 01 2015 *)