The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A082563 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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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.
(history; published version)

#18 by N. J. A. Sloane at Thu Sep 24 01:24:22 EDT 2015

STATUS

proposed

approved

#17 by Michel Marcus at Wed Sep 23 16:41:08 EDT 2015

STATUS

editing

proposed

#16 by Michel Marcus at Wed Sep 23 16:41:02 EDT 2015

EXTENSIONS

Name changed by _Arkadiusz Wesolowski, _, Sep 15 2011.

More terms from _Clark Kimberling, _, Sep 23 2015.

STATUS

proposed

editing

#15 by Clark Kimberling at Wed Sep 23 16:24:40 EDT 2015

STATUS

editing

proposed

#14 by Clark Kimberling at Wed Sep 23 15:58:39 EDT 2015

DATA

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

COMMENTS

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

LINKS

Clark Kimberling, <a href="/A082563/b082563.txt">Table of n, a(n) for n = 1..200</a>

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.

EXTENSIONS

Name changed by Arkadiusz Wesolowski, Sep 15 2011.

More terms from Clark Kimberling, Sep 23 2015.

STATUS

approved

editing

#13 by T. D. Noe at Mon Feb 18 00:02:31 EST 2013

STATUS

proposed

approved

#12 by Franklin T. Adams-Watters at Sun Feb 17 16:34:37 EST 2013

STATUS

editing

proposed

#11 by Franklin T. Adams-Watters at Sun Feb 17 16:34:31 EST 2013

KEYWORD

nonn,base

STATUS

approved

editing

#10 by Russ Cox at Fri Mar 30 18:39:17 EDT 2012

AUTHOR

_Benoit Cloitre (benoit7848c(AT)orange.fr), _, May 04 2003

Discussion

Fri Mar 30

18:39

OEIS Server: https://oeis.org/edit/global/216

#9 by T. D. Noe at Thu Sep 15 16:08:47 EDT 2011

STATUS

proposed

approved