A256870 Numbers divisible by prime(d+1) for each digit d of their base-10 representation.

0, 20, 44, 111, 120, 171, 200, 210, 220, 290, 440, 520, 1020, 1110, 1113, 1200, 1710, 1914, 2000, 2010, 2020, 2030, 2100, 2145, 2200, 2220, 2310, 2420, 2900, 3220, 3381, 4004, 4048, 4400, 4444, 5200, 5525, 6120, 7220, 8280, 9338

Offset

1,2

Comments

A variant of A256786 where digits 0 are forbidden and divisibility by prime(d) is required.

See A256882 - A256884, A256866 - A256869 for the analog in bases 2, ..., 9.

Links

Table of n, a(n) for n=1..41.

Example

0 is divisible by prime(0+1)=2.
n = 1,...,9 are not divisible by prime(n+1) = 3, 5, ..., 29, respectively.
20 is divisible by prime(2+1)=5 and by prime(0+1)=2. The same is true for any other 2...20...0 =  2*10^k*(10^m-1)/9; k >= 1, m >= 0.
44 is divisible by prime(4+1)=11.

Prog

is(n, b=10)=!for(i=1, #d=Set(digits(n, b)), n%prime(d[i]+1)&&return)

Crossrefs

Cf. A256882, A256883, A256884, A256865 - A256869, A256874 - A256879, A256786.

Sequence in context: A043145 A043925 A211459 * A134619 A219716 A044097

Adjacent sequences: A256867 A256868 A256869 * A256871 A256872 A256873

Keyword

nonn,base

Author

M. F. Hasler, Apr 11 2015

Status

approved