A082563 - OEIS

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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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

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

LINKS

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

EXAMPLE

As a triangle:

........3

.......131

......11311

....121131121

..1212113112121

36121211311212163

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 *)

CROSSREFS

Cf. A053600, A075597, A261881.

Sequence in context: A332113 A075597 A262639 * A083999 A090540 A262643

Adjacent sequences: A082560 A082561 A082562 * A082564 A082565 A082566

KEYWORD

nonn,base

AUTHOR

Benoit Cloitre, May 04 2003

EXTENSIONS

Name changed by Arkadiusz Wesolowski, Sep 15 2011

More terms from Clark Kimberling, Sep 23 2015

STATUS

approved