A256877 Numbers divisible by prime(d) for each digit d in their base-7 representation, none of which may be zero.

8, 10, 114, 120, 195, 264, 286, 400, 408, 450, 456, 500, 650, 744, 750, 780, 792, 1100, 1170, 1200, 1804, 1870, 2802, 2808, 2850, 2886, 3144, 3198, 3600, 4290, 4524, 5202, 5280, 5610, 5655, 5742, 6000, 6798, 7020, 7710, 8010, 8340, 12804, 13200, 14820, 14846, 15210, 19608, 19610

Offset

1,1

Comments

Base-7 analog of A256786. See A256874 - A256879 for the base-4, ..., base-9 analogs.

See A256867 for a variant where divisibility by prime(d+1) is required instead.

Links

Table of n, a(n) for n=1..49.

Prog

(PARI) is(n, b=7)=!for(i=1, #d=Set(digits(n, b)), (!d[i]||n%prime(d[i]))&&return)

Crossrefs

Cf. A256786, A256874 - A256879, A256867, A256882 - A256884, A256865 - A256870.

Sequence in context: A204324 A070276 A002286 * A222299 A070478 A306527

Adjacent sequences: A256874 A256875 A256876 * A256878 A256879 A256880

Keyword

nonn,base

Author

M. F. Hasler, Apr 11 2015

Status

approved