A261881 Minimal nested palindromic primes with seed 0.

0, 101, 31013, 3310133, 933101339, 1093310133901, 30109331013390103, 333010933101339010333, 33330109331013390103333, 993333010933101339010333399, 104993333010933101339010333399401, 7810499333301093310133901033339940187

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 having a(n-1) in the middle. Then (a(n)) is the sequence of minimal nested palindromic primes with seed s.

Guide to related sequences:

seed sequence

0 A261881

1 A261818

2 A053600

3 A082563

4 A261821

5 A261822

6 A261823

7 A261824

8 A261825

9 A261826

000 A262531

0^5 A262532

0^7 A262533

0^9 A260250

010 A260459

111 A261820

1^5 A262497

1^7 A262498

1^9 A262499

Examples

			As a triangle:
........0
.......101
......31013
.....3310133
....933101339
..1093310133901
30109331013390103
		

Links

• Clark Kimberling, Table of n, a(n) for n = 1..300

Crossrefs

Cf. A261818.

Programs

Mathematica

s = {0}; 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 *)