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

Author

Benoit Cloitre, May 26 2002

Keywords

• fini
• full
• nonn
• base

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.