A174979 Smallest prime p which is a concatenation of n^3 and the cubic digits 0, 1, 8.

11, 181, 127, 641, 11251, 2161, 10343, 15121, 10729, 1000081, 81331, 117281, 12197, 1274401, 33751, 40961, 84913, 58321, 106859, 180001, 89261, 1064801, 812167, 138241, 8156251, 10175761, 196831, 2195201, 2438911, 270001, 297911

Offset

1,1

Comments

There are three decimal digits which are cubes: 0 = 0^3, 1 = 1^3, 8 = 2^3. It is conjectured that sequence is infinite.

See comments in A174926.

References

J.-P. Allouche, J. Shallit: Automatic Sequences, Theory, Applications, Generalizations, Cambridge University Press, 2003

C. Dumitrescu and V. Seleacu: Some Notions and Questions in Number Theory, Glendale, Arizona, Erhus University Press, 1994

O. Oystein: Number Theory and its History, Dover Classics of Science and Mathematics, 1988

Links

Table of n, a(n) for n=1..31.

Example

41^3 = 68921, and 1689211 is the smallest prime which can be produced by concatenating 68921 with some combination of the digits 0, 1, and 8.

Crossrefs

Cf. A000040, A000578, A174926.

Sequence in context: A162715 A131638 A157382 * A157945 A106907 A020456

Adjacent sequences: A174976 A174977 A174978 * A174980 A174981 A174982

Keyword

base,nonn

Author

Ulrich Krug (leuchtfeuer37(AT)gmx.de), Apr 03 2010

Extensions

Corrected and edited by D. S. McNeil, Nov 21 2010

Status

approved