

A262533


Minimal nested palindromic primes with seed 0000000.


2



19000000091, 1190000000911, 36119000000091163, 953611900000009116359, 9095361190000000911635909, 790953611900000009116359097, 1479095361190000000911635909741, 72147909536119000000091163590974127, 10572147909536119000000091163590974127501
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

2,1


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(n1) in the middle. Then (a(n)) is the sequence of minimal nested palindromic primes with seed s. (For A260444, the seed is not an integer, so that the offset is 2.)


LINKS

Clark Kimberling, Table of n, a(n) for n = 2..200


EXAMPLE

As a triangle:
0000000
19000000091
1190000000911
36119000000091163
953611900000009116359
9095361190000000911635909
790953611900000009116359097


MATHEMATICA

s0 = "0000000"; s = {ToExpression[s0]}; Do[NestWhile[# + 1 &, 1, ! PrimeQ[tmp = FromDigits[Join[#, IntegerDigits[Last[s], 10, Max[StringLength[s0], Length[IntegerDigits[Last[s]]]]], Reverse[#]]&[IntegerDigits[#]]]] &]; AppendTo[s, tmp], {10}]; s0 <> ", " <> StringTake[ToString[Rest[s]], {2, 2}]
(* Peter J. C. Moses, Sep 23 2015 *)


CROSSREFS

Cf. A261881.
Sequence in context: A270895 A273186 A185932 * A317288 A234397 A234194
Adjacent sequences: A262530 A262531 A262532 * A262534 A262535 A262536


KEYWORD

nonn,base,easy


AUTHOR

Clark Kimberling, Sep 24 2015


STATUS

approved



