A082563 a(1) = 3; for n>=1, a(n+1) is the smallest palindromic prime with a(n) as a central substring.

3, 131, 11311, 121131121, 1212113112121, 36121211311212163, 303612121131121216303, 7230361212113112121630327, 30723036121211311212163032703, 723072303612121131121216303270327, 1472307230361212113112121630327032741, 114723072303612121131121216303270327411

Offset: 1

Author

Benoit Cloitre, May 04 2003

Keywords

• nonn
• base

Comments

The minimal nested palindromic primes with seed 3; see A261881 for a guide to related sequences.

Examples

			As a triangle:
........3
.......131
......11311
....121131121
..1212113112121
36121211311212163
		

Links

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

Crossrefs

Cf. A053600, A075597, A261881.

Programs

Mathematica

s = {3}; 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 *)

Extensions

Name changed by Arkadiusz Wesolowski, Sep 15 2011

More terms from Clark Kimberling, Sep 23 2015