The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A260250 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A260250

Minimal nested palindromic primes with seed 000000000.
(history; published version)

#10 by N. J. A. Sloane at Fri Oct 02 13:05:44 EDT 2015

STATUS

proposed

approved

#9 by Bruno Berselli at Fri Sep 25 06:23:51 EDT 2015

STATUS

editing

proposed

#8 by Bruno Berselli at Fri Sep 25 06:21:34 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. (For A260250, the seed is not an integer, so that the offset is 2.)

STATUS

proposed

editing

#7 by Michel Marcus at Fri Sep 25 01:57:39 EDT 2015

STATUS

editing

proposed

#6 by Michel Marcus at Fri Sep 25 01:57:26 EDT 2015

KEYWORD

nonn,base,easy,changed

STATUS

proposed

editing

#5 by Michel Marcus at Fri Sep 25 01:48:23 EDT 2015

STATUS

editing

proposed

#4 by Michel Marcus at Fri Sep 25 01:48:18 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. (For A260250, the seed is not an integer, so that the offset is 2.)

STATUS

proposed

editing

#3 by Clark Kimberling at Thu Sep 24 20:24:15 EDT 2015

STATUS

editing

proposed

#2 by Clark Kimberling at Thu Sep 24 17:52:27 EDT 2015

NAME

allocated for Clark KimberlingMinimal nested palindromic primes with seed 000000000.

DATA

1300000000031, 713000000000317, 1471300000000031741, 12147130000000003174121, 3121471300000000031741213, 1213121471300000000031741213121, 33121312147130000000003174121312133, 323312131214713000000000317412131213323

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 have a(n-1) in the middle. Then (a(n)) is the sequence of minimal nested palindromic primes with seed s. (For A260250, the seed is not an integer, so that the offset is 2.)

LINKS

Clark Kimberling, <a href="/A260250/b260250.txt">Table of n, a(n) for n = 2..200</a>

EXAMPLE

As a triangle:

000000000

1300000000031

713000000000317

1471300000000031741

12147130000000003174121,

3121471300000000031741213

1213121471300000000031741213121,

MATHEMATICA

s0 = "000000000"; 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 Mon Jul 20 16:04:10 EDT 2015

NAME

allocated for Clark Kimberling

KEYWORD

allocated

STATUS

approved