A079470 Primes with prime inventory number (as in A063850).

3, 7, 17, 23, 113, 127, 131, 137, 193, 199, 223, 233, 271, 311, 313, 331, 359, 367, 431, 433, 439, 463, 479, 499, 503, 523, 587, 607, 641, 677, 691, 733, 773, 797, 809, 821, 823, 829, 853, 997, 1009, 1069, 1123, 1129, 1187, 1213, 1217, 1223, 1231, 1277, 1291

Offset: 1

Author

Joseph L. Pe, Jan 15 2003

Keywords

• base
• easy
• nonn

Examples

			The prime 127 has inventory number 111217 (one "1", one "2", one "7"), which is also prime. Hence 127 belongs to the sequence.
		

Links

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

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]]; s = {}; For[j = 1, j <= 10^3, j++, temp = Prime[j]; If[PrimeQ[g[temp]], s = Append[s, temp]]]; s