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A086003 Primes which remain prime after one and after two applications of the rotate-and-add operation of A086002. 4
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified June 17 17:12 EDT 2019. Contains 324196 sequences. (Running on oeis4.)