|
|
A262653
|
|
Minimal nested palindromic base-6 primes with seed 4; see Comments.
|
|
3
|
|
|
4, 141, 11411, 5114115, 551141155, 1455114115541, 1111455114115541111, 55111145511411554111155, 1021551111455114115541111551201, 12102155111145511411554111155120121, 531210215511114551141155411115512012135, 101531210215511114551141155411115512012135101
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Using only base-6 digits 0,1,2,3,4,5, 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 have a(n-1) in the middle. Then (a(n)) is the sequence of minimal nested palindromic base-6 primes with seed s.
|
|
LINKS
|
|
|
EXAMPLE
|
a(3) = 11411 is the least base-6 prime having a(2) = 141 in its middle. Triangular format:
4
141
11411
5114115
551141155
1455114115541
|
|
MATHEMATICA
|
s = {4}; base = 6; z = 20; Do[NestWhile[# + 1 &, 1, ! PrimeQ[tmp = FromDigits[Join[#, IntegerDigits[Last[s]], Reverse[#]] &[IntegerDigits[#, base]], base]] &];
AppendTo[s, FromDigits[IntegerDigits[tmp, base]]], {z}]; s (* A262653 *)
Map[FromDigits[ToString[#], base] &, s] (* A262654 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy,base
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|