This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A086003 #16 Jun 08 2025 16:15:42
%S A086003 271,281,10853,10903,10939,12917,12919,16603,16673,16823,16843,18671,
%T A086003 18911,18913,20929,22817,22907,24907,26813,26833,26903,26947,28661,
%U A086003 28901,28921,30809,30829,32831,32917,32941,34939,36653,36913,38651
%N A086003 Primes which remain prime after one and after two applications of the rotate-and-add operation of A086002.
%C A086003 The rotate operation of nonnegative integers is defined in A086002, which lists the primes that remain prime after one application of the compound rotate-and-add operation. The sequence here lists those primes p which in addition remain prime after applying this transformation twice, that is, those elements of A086002 such that the image of the rotate-and-add operation is again in A086002.
%H A086003 Chai Wah Wu, <a href="/A086003/b086003.txt">Table of n, a(n) for n = 1..10000</a>
%F A086003 {p in A086002: p+rot(p) in A086002}.
%e A086003 a(6)=12917 because (i) 12917 is prime. (ii) rotate(12917) = 17912 and 12917+17912=30829 which is also prime. (iii) rotate(30829) = 29830 and 30829+29830=60659 which is also prime.
%Y A086003 Cf. A086002, A086004.
%K A086003 base,nonn
%O A086003 1,1
%A A086003 _Chuck Seggelin_, Jul 07 2003
%E A086003 Edited by _R. J. Mathar_, May 27 2009