A181884 The sums of pairs of adjacent terms are the odd palindromic primes in ascending order.

3, 0, 5, 2, 9, 92, 39, 112, 69, 122, 191, 162, 211, 172, 555, 202, 585, 212, 707, 222, 10079, 422, 10179, 1132, 10279, 2142, 10579, 2242, 11089, 2742, 11189, 3152, 11589, 3862, 11689, 4372, 11989, 4572, 12089, 5382, 12589, 5592, 12889

Offset

1,1

Comments

This sequence was originally presented at http://www.sanaristikot.net by V.J. Pohjola, Nov 11 2010. [Added by V.J. Pohjola, Nov 25 2010.]

There are four possible solutions: see A181881-A181884.

Links

Table of n, a(n) for n=1..43.

V. J. Pohjola, a(n)+a(n+1) = palindromic prime, Posting to the Sequence Fans Mailing List, Nov 11 2010.

Mathematica

lst = {}; a = 3; c = -1; Label[alku1]; b = c; Label[alku2]; b =b + 1; If[PrimeQ[a + b] && IntegerDigits[a + b] == Reverse[IntegerDigits[a + b]], AppendTo[lst, a], Goto[alku2]]; c = a; a = b; If[a < nn, Goto[alku1]]; lst  (* V.J. Pohjola, Nov 25 2010 *)
a[1] = 3; pp = Select[Prime[Range[3000]], PalindromeQ]; lp = Length[pp]-1;
aa = Table[a[n] + a[n+1], {n, lp}]; Array[a, lp] /. Solve[Thread[aa == Rest[pp]]][[1]] (* Jean-François Alcover, Feb 17 2018 *)

Crossrefs

Cf. A002385, A181881, A181882, A181883.

Sequence in context: A193067 A177886 A011293 * A284662 A292031 A201565

Adjacent sequences: A181881 A181882 A181883 * A181885 A181886 A181887

Keyword

nonn,easy,base

Author

N. J. A. Sloane, Nov 18 2010

Extensions

More terms from Nathaniel Johnston, Nov 22 2010

Last term corrected by Jean-François Alcover, Feb 17 2018

Status

approved