A071073 Minimal "multiples of 3" set in base 10.

0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 42, 45, 48, 51, 54, 57, 72, 75, 78, 81, 84, 87, 111, 114, 117, 141, 144, 147, 171, 174, 177, 222, 225, 228, 252, 255, 258, 282, 285, 288, 411, 414, 417, 441, 444, 447, 471, 474, 477, 522, 525, 528, 552, 555, 558, 582, 585, 588

Offset

1,2

Comments

Any multiple of 3 contains in its digits at least one of the terms of this sequence. There are 76 terms in the sequence; Delahaye gives all 76 terms and proves that there are no further terms (his statement that there are 280 terms seems to be a typo). There is no smaller set.

Links

Nathaniel Johnston, Table of n, a(n) for n = 1..76 (full sequence)

J.-P. Delahaye, Nombres premiers inévitables et pyramidaux, Pour la Science 296 (2002), p 102.

Crossrefs

Cf. A071062, A071071, A071072, A071070.

Sequence in context: A190083 A117124 A323422 * A329844 A127451 A022844

Adjacent sequences: A071070 A071071 A071072 * A071074 A071075 A071076

Keyword

fini,full,nonn,base

Author

Benoit Cloitre, May 26 2002

Status

approved