A262532 Minimal nested palindromic primes with seed 00000.

140000041, 31400000413, 9314000004139, 74931400000413947, 3749314000004139473, 937493140000041394739, 3693749314000004139473963, 10369374931400000413947396301, 351036937493140000041394739630153, 7035103693749314000004139473963015307

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 A252532, the seed is not an integer, so that the offset is 2.)

Links

Clark Kimberling, Table of n, a(n) for n = 2..200

Example

As a triangle:
          00000
        140000041
       31400000413
      9314000004139
    74931400000413947
   3749314000004139473
  937493140000041394739

Mathematica

s0 = "00000"; 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: A217002 A036744 A257643 * A075130 A202280 A034611

Adjacent sequences: A262529 A262530 A262531 * A262533 A262534 A262535

Keyword

nonn,base,easy

Author

Clark Kimberling, Sep 24 2015

Status

approved