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

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%I A174979 #6 Mar 31 2012 14:00:56
%S A174979 11,181,127,641,11251,2161,10343,15121,10729,1000081,81331,117281,
%T A174979 12197,1274401,33751,40961,84913,58321,106859,180001,89261,1064801,
%U A174979 812167,138241,8156251,10175761,196831,2195201,2438911,270001,297911
%N A174979 Smallest prime p which is a concatenation of n^3 and the cubic digits 0, 1, 8.
%C A174979 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 A174979 See comments in A174926.
%D A174979 J.-P. Allouche, J. Shallit: Automatic Sequences, Theory, Applications, Generalizations, Cambridge University Press, 2003
%D A174979 C. Dumitrescu and V. Seleacu: Some Notions and Questions in Number Theory, Glendale, Arizona, Erhus University Press, 1994
%D A174979 O. Oystein: Number Theory and its History, Dover Classics of Science and Mathematics, 1988
%e A174979 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 A174979 Cf. A000040, A000578, A174926.
%K A174979 base,nonn
%O A174979 1,1
%A A174979 Ulrich Krug (leuchtfeuer37(AT)gmx.de), Apr 03 2010
%E A174979 Corrected and edited by _D. S. McNeil_, Nov 21 2010