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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. 2
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified October 17 13:16 EDT 2021. Contains 348048 sequences. (Running on oeis4.)