A110615 Minimal set of composite-strings in base 12 in the sense of A071070.

4, 6, 8, 9, 10, 12, 14, 15, 24, 25, 26, 27, 35, 36, 38, 39, 60, 62, 63, 65, 84, 85, 86, 87, 91, 95, 132, 133, 134, 135, 143, 161, 205, 215, 355, 377, 445, 451, 455, 493, 1651, 1673, 1885, 1891, 1895, 8797

Offset: 1

Author

Walter Kehowski, Sep 14 2005; name corrected Sep 18 2005

Keywords

• nonn

Comments

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.

Examples

			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.
		

Crossrefs

Cf. A071062, A071070.