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

%I #6 Mar 31 2012 14:00:56

%S 11,181,127,641,11251,2161,10343,15121,10729,1000081,81331,117281,

%T 12197,1274401,33751,40961,84913,58321,106859,180001,89261,1064801,

%U 812167,138241,8156251,10175761,196831,2195201,2438911,270001,297911

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

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

%C See comments in A174926.

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

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

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

%e 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.

%Y Cf. A000040, A000578, A174926.

%K base,nonn

%O 1,1

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

%E Corrected and edited by _D. S. McNeil_, Nov 21 2010