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Minimal set of composite-strings in base 12 in the sense of A071070.
3

%I #3 Mar 31 2012 14:39:48

%S 4,6,8,9,10,12,14,15,24,25,26,27,35,36,38,39,60,62,63,65,84,85,86,87,

%T 91,95,132,133,134,135,143,161,205,215,355,377,445,451,455,493,1651,

%U 1673,1885,1891,1895,8797

%N Minimal set of composite-strings in base 12 in the sense of A071070.

%C Maple worksheet available upon request. Here is the sequence of minimal composites in base 12, where X is 10 and E is 11. 4, 6, 8, 9, X, 10, 12, 13, 20, 21, 22, 23, 2E, 30, 32, 33, 50, 52, 53, 55, 70, 71, 72, 73, 77, 7E, E0, E1, E2, E3, EE, 115, 151, 15E, 257, 275, 311, 317, 31E, 351, E57, E75, 1111, 1117, 111E, 5111.

%e a(13)=35=2E since no earlier composite is of the form "*2*E*". The list of minimal composites can be constructed using a sieve-like process: subsequently eliminate from the list of composites all composites of the form "*2*E*". Assuming all previous terms have been similarly determined, then the next remaining composite should be 30.

%Y Cf. A071062, A071070.

%K nonn

%O 1,1

%A _Walter Kehowski_, Sep 14 2005; name corrected Sep 18 2005

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