A256874 Numbers divisible by prime(d) for each digit d in their base-4 representation, none of which may be zero.

6, 15, 30, 42, 90, 102, 150, 255, 342, 426, 510, 618, 630, 666, 678, 750, 870, 990, 1386, 1434, 1446, 1470, 1530, 1626, 1638, 1686, 1710, 1770, 1950, 2010, 2394, 2406, 2430, 2454, 2490, 2550, 2646, 2670, 2730, 2790, 2910, 2970, 3030, 3450, 3510, 3690, 3750, 3930, 3990, 4095, 5466, 5478, 5526, 5550, 5610, 5718, 5790

Offset: 1

Author

M. F. Hasler, Apr 11 2015

Keywords

• nonn
• base

Comments

Base-4 analog of A256786. See A256875 - A256879 for the base-5, ..., base-9 analogs.

See A256884 for a variant where divisibility by prime(d+1) is required instead.

Crossrefs

Cf. A256786, A256875 - A256879, A256884.

Programs

PARI

is(n,b=4)=!for(i=1,#d=Set(digits(n,b)),(!d[i]||n%prime(d[i]))&&return)