A260459 Minimal nested palindromic primes with seed 010.

30103, 333010333, 33330103333, 9333301033339, 12933330103333921, 121293333010333392121, 3812129333301033339212183, 15381212933330103333921218351, 101538121293333010333392121835101, 3910153812129333301033339212183510193

Offset

2,1

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 having a(n-1) in the middle. Then (a(n)) is the sequence of minimal nested palindromic primes with seed s. (For A260459, the seed is not an integer, so that the offset is 2.)

Links

Table of n, a(n) for n=2..11.

Example

As a triangle:
           010
          30103
        333010333
       33330103333
      9333301033339
    12933330103333921
  121293333010333392121
3812129333301033339212183

Mathematica

s0 = "010"; s = {ToExpression[s0]}; Do[NestWhile[# + 1 &, 1, ! PrimeQ[tmp = FromDigits[Join[#, IntegerDigits[Last[s], 10, Max[StringLength[s0], Length[IntegerDigits[Last[s]]]]], Reverse[#]]&[IntegerDigits[#]]]] &]; AppendTo[s, tmp], {10}]; s0 <> ", " <> StringTake[ToString[Rest[s]], {2, -2}]
(* Peter J. C. Moses, Sep 23 2015 *)

Crossrefs

Cf. A261881.

Sequence in context: A104877 A237031 A027665 * A202598 A298429 A255759

Adjacent sequences: A260456 A260457 A260458 * A260460 A260461 A260462

Keyword

nonn,base,easy

Author

Clark Kimberling, Sep 24 2015

Status

approved