A079464 Numbers k such that the "inventory" A063850 of k is prime.

1, 3, 7, 9, 17, 23, 27, 33, 39, 51, 63, 69, 81, 93, 99, 111, 113, 127, 131, 133, 137, 193, 199, 203, 209, 223, 232, 233, 271, 299, 301, 311, 313, 331, 359, 361, 367, 371, 377, 414, 431, 433, 439, 441, 447, 451, 463, 469, 474, 477, 479, 481, 497, 499, 503, 523

Offset: 1

Author

Joseph L. Pe, Jan 14 2003

Keywords

• base
• nonn

Examples

			The "inventory" of 299 is 1229 (one "2", two "9"s), which is prime. Hence 299 belongs to the sequence.
		

Links

• Carlos Rivera, Puzzle 207. The Inventory Sequences and Self-Inventoried Numbers, The Prime Puzzles & Problems Connection. See Question 7.

Crossrefs

Cf. A063850.

Programs

Mathematica

g[n_] := Module[{seen, r, d, l, i, t}, seen = {}; r = {}; d = IntegerDigits[n]; l = Length[d]; For[i = 1, i <= l, i++, t = d[[i]]; If[ ! MemberQ[seen, t], r = Join[r, IntegerDigits[Count[d, t]]]; r = Join[r, {t}]; seen = Append[seen, t]]]; FromDigits[r]]; Select[Range[10^3], PrimeQ[g[ # ]] &]