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

1,2

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Wikipedia, Primorial number system.

Example

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.

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]

Crossrefs

Cf. A049345, A235224, A343476.

Sequence in context: A045218 A177856 A343476 * A296220 A297835 A298000

Adjacent sequences: A343474 A343475 A343476 * A343478 A343479 A343480

Keyword

nonn,base

Author

Amiram Eldar, Apr 16 2021

Status

approved