A263499 Numbers with nondecreasing digits such that every cyclic shift is a prime.

2, 3, 5, 7, 11, 13, 17, 37, 79, 113, 199, 337, 3779, 1111111111111111111, 11111111111111111111111

Offset

1,1

Comments

a(16) is too big to display, see the b-file.

a(n) is the intersection of the sequences A068652 and A009994. A258706 is a subsequence. Up until a(16) only the term 3779 is missing from A258706.

Links

Chai Wah Wu, Table of n, a(n) for n = 1..16

Mathematica

fQ[n_] := Block[{d = IntegerDigits@ n}, And[d == Sort@ d, And @@ Table[PrimeQ@ FromDigits[d = RotateLeft@ d], {Length[d] - 1}]]]; Select[
Prime@ Range@ 600, fQ] (* Michael De Vlieger, Nov 12 2015, after T. D. Noe at A068652 *)

Crossrefs

Cf. A068652, A009994, A258706.

Sequence in context: A120639 A141263 A016114 * A258706 A265408 A053434

Adjacent sequences: A263496 A263497 A263498 * A263500 A263501 A263502

Keyword

nonn,base

Author

Chai Wah Wu, Nov 11 2015

Status

approved