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

Author

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

Keywords

• base
• nonn

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.

Examples

			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.
		

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

Crossrefs

Cf. A000040, A000578, A174926.

Extensions

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