A256878 Numbers divisible by prime(d) for each digit d in their base-8 representation, none of which may be zero.

18, 35, 78, 84, 90, 138, 210, 255, 330, 429, 588, 594, 910, 1098, 1170, 1275, 1386, 1530, 1755, 1820, 1950, 2156, 2275, 2706, 3315, 3510, 3927, 3978, 4746, 4758, 4794, 4900, 4914, 5202, 5610, 5850, 6244, 6300, 6412, 6930, 7254, 7410, 7462, 7566, 8778, 8850, 9042, 9354, 9435, 9492

Offset

1,1

Comments

Base-8 analog of A256786. See A256874 - A256879 for the base-4, ..., base-9 analogs.

See A256868 for a variant where divisibility by prime(d+1) is required instead.

Links

Table of n, a(n) for n=1..50.

Prog

(PARI) is(n, b=8)=!for(i=1, #d=Set(digits(n, b)), (!d[i]||n%prime(d[i]))&&return)

Crossrefs

Cf. A256786, A256874 - A256879, A256868, A256882 - A256884, A256865 - A256870.

Sequence in context: A245587 A215137 A160844 * A285318 A040306 A346137

Adjacent sequences: A256875 A256876 A256877 * A256879 A256880 A256881

Keyword

nonn,base

Author

M. F. Hasler, Apr 11 2015

Status

approved