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A261823 Minimal nested palindromic primes with seed 6. 2
6, 10601, 3106013, 19310601391, 3193106013913, 30319310601391303, 3303193106013913033, 333031931060139130333, 33330319310601391303333, 303333031931060139130333303, 1130333303193106013913033330311, 19113033330319310601391303333031191 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

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.

LINKS

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

EXAMPLE

As a triangle:

........6

......10601

.....3106013

...19310601391

..3193106013913

30319310601391303

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 *)

CROSSREFS

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

Sequence in context: A088021 A102979 A069942 * A146202 A227889 A242676

Adjacent sequences:  A261820 A261821 A261822 * A261824 A261825 A261826

KEYWORD

nonn,easy,base

AUTHOR

Clark Kimberling, Sep 23 2015

STATUS

approved

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Last modified October 31 19:00 EDT 2020. Contains 338111 sequences. (Running on oeis4.)