A343477 Numbers k whose representations in primorial base include each of the digits from 0 to d-1 exactly once, where d is the number of digits of k in primorial base.
0, 2, 10, 13, 14, 52, 79, 80, 95, 100, 103, 104, 328, 352, 535, 536, 559, 560, 659, 688, 715, 716, 755, 760, 763, 764, 863, 892, 919, 920, 935, 940, 943, 944, 3118, 3322, 3478, 3502, 5425, 5426, 5629, 5630, 5785, 5786, 5809, 5810, 7109, 7318, 7525, 7526, 7925
Offset: 1
Examples
2 is a term since its primorial base representation is {1, 0}.
10, 13 and 14 are terms since their primorial base representations are {1, 2, 0}, {2, 0, 1} and {2, 1, 0}, respectively.
Links
- Amiram Eldar, Table of n, a(n) for n = 1..10000
- Wikipedia, Primorial number system.
Programs
-
Mathematica
m = 6; bases = Reverse @ Prime @ Range[m]; max = Times @@ bases; primBase[n_] := IntegerDigits[n, MixedRadix[bases]]; q[n_] := Union[(pd = primBase[n])] == Range[0, Length[pd] - 1]; Select[Range[0, max], q]