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

Author

M. F. Hasler, Apr 11 2015

Keywords

• nonn
• base

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.

Crossrefs

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

Programs

PARI

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