login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A082563 a(1) = 3; for n>=1, a(n+1) is the smallest palindromic prime with a(n) as a central substring. 2

%I #18 Sep 24 2015 01:24:22

%S 3,131,11311,121131121,1212113112121,36121211311212163,

%T 303612121131121216303,7230361212113112121630327,

%U 30723036121211311212163032703,723072303612121131121216303270327,1472307230361212113112121630327032741,114723072303612121131121216303270327411

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

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

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

%e As a triangle:

%e ........3

%e .......131

%e ......11311

%e ....121131121

%e ..1212113112121

%e 36121211311212163

%t s = {3}; Do[NestWhile[# + 1 &, 1, ! PrimeQ[tmp = FromDigits[Join[#, IntegerDigits[Last[s]], Reverse[#]] &[IntegerDigits[#]]]] &]; AppendTo[s, tmp], {15}]; s

%t (* _Peter J. C. Moses_, Sep 01 2015 *)

%Y Cf. A053600, A075597, A261881.

%K nonn,base

%O 1,1

%A _Benoit Cloitre_, May 04 2003

%E Name changed by _Arkadiusz Wesolowski_, Sep 15 2011

%E More terms from _Clark Kimberling_, Sep 23 2015

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)