The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A262499 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing all changes.

A262499

Minimal nested palindromic primes with seed 111111111.
(history; published version)

#10 by N. J. A. Sloane at Fri Oct 02 13:09:00 EDT 2015

STATUS

proposed

approved

#9 by Jon E. Schoenfield at Sun Sep 27 16:30:00 EDT 2015

STATUS

editing

proposed

#8 by Jon E. Schoenfield at Sun Sep 27 16:29:58 EDT 2015

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(n-1) in the middle. Then (a(n)) is the sequence of minimal nested palindromic primes with seed s.

STATUS

proposed

editing

#7 by Michel Marcus at Fri Sep 25 01:59:51 EDT 2015

STATUS

editing

proposed

#6 by Michel Marcus at Fri Sep 25 01:59:46 EDT 2015

KEYWORD

nonn,base,easy,changed

STATUS

proposed

editing

#5 by Michel Marcus at Fri Sep 25 01:52:59 EDT 2015

STATUS

editing

proposed

#4 by Michel Marcus at Fri Sep 25 01:52:49 EDT 2015

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 have having a(n-1) in the middle. Then (a(n)) is the sequence of minimal nested palindromic primes with seed s.

EXAMPLE

111111111

1311111111131

31131111111113113

3311311111111131133

333113111111111311333

3033311311111111131133303

1323033311311111111131133303231

313230333113111111111311333032313

STATUS

proposed

editing

#3 by Clark Kimberling at Thu Sep 24 20:24:59 EDT 2015

STATUS

editing

proposed

#2 by Clark Kimberling at Thu Sep 24 20:19:59 EDT 2015

NAME

allocated for Clark KimberlingMinimal nested palindromic primes with seed 111111111.

DATA

111111111, 1311111111131, 31131111111113113, 3311311111111131133, 333113111111111311333, 3033311311111111131133303, 1323033311311111111131133303231, 313230333113111111111311333032313, 9531323033311311111111131133303231359

OFFSET

1,1

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 have a(n-1) in the middle. Then (a(n)) is the sequence of minimal nested palindromic primes with seed s.

LINKS

Clark Kimberling, <a href="/A262499/b262499.txt">Table of n, a(n) for n = 1..200</a>

EXAMPLE

As a triangle:

111111111

1311111111131

31131111111113113

3311311111111131133

333113111111111311333

3033311311111111131133303

1323033311311111111131133303231

313230333113111111111311333032313

MATHEMATICA

s0 = "111111111"; 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.

KEYWORD

allocated

nonn,easy

AUTHOR

Clark Kimberling, Sep 24 2015

STATUS

approved

editing

#1 by Clark Kimberling at Thu Sep 24 11:38:22 EDT 2015

NAME

allocated for Clark Kimberling

KEYWORD

allocated

STATUS

approved