A086003 Primes which remain prime after one and after two applications of the rotate-and-add operation of A086002.

271, 281, 10853, 10903, 10939, 12917, 12919, 16603, 16673, 16823, 16843, 18671, 18911, 18913, 20929, 22817, 22907, 24907, 26813, 26833, 26903, 26947, 28661, 28901, 28921, 30809, 30829, 32831, 32917, 32941, 34939, 36653, 36913, 38651

Offset

1,1

Comments

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.

Links

Chai Wah Wu, Table of n, a(n) for n = 1..10000

Formula

{p in A086002: p+rot(p) in A086002}.

Example

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.

Crossrefs

Cf. A086002, A086004.

Sequence in context: A317476 A290643 A104844 * A174402 A048295 A257210

Adjacent sequences: A086000 A086001 A086002 * A086004 A086005 A086006

Keyword

base,nonn

Author

Chuck Seggelin (barkeep(AT)plastereddragon.com), Jul 07 2003

Extensions

Edited by R. J. Mathar, May 27 2009

Status

approved