A256866 Numbers divisible by prime(d+1) for each digit d of their base-6 representation.

0, 6, 21, 36, 42, 126, 216, 222, 252, 258, 273, 300, 480, 510, 525, 560, 693, 735, 756, 770, 777, 880, 924, 1001, 1012, 1296, 1302, 1320, 1326, 1332, 1338, 1380, 1482, 1512, 1518, 1548, 1554, 1560, 1590, 1638, 1716, 1740, 1770, 1785, 1800, 1995, 2058, 2079, 2310, 2418

Offset

1,2

Comments

The base-6 variant of A256882 - A256884, A256866 - A256870 in bases 2, ..., 10.

A variant of A256876 where digits 0 are forbidden and divisibility by prime(d) is required.

Links

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

Example

0 is divisible by prime(0+1)=2.
6 = 10_6 in base 6, and is divisible by prime(1+1)=3 and by prime(0+1)=2.
21 = 33_6, and is divisible by prime(3+1)=7.
n = 1, 2, 3, 4, 5 are not divisible by prime(n+1) = 3, 5, 7, 11, 13, respectively. 7=11_6, 8=12_6, 10=13_6, ... are not divisible by prime(1+1)=3; 9=12_7 is not divisible by prime(2+1)=5, etc.

Prog

(PARI) is(n, b=6)=!for(i=1, #d=Set(digits(n, b)), n%prime(d[i]+1)&&return)

Crossrefs

Cf. A256882, A256883, A256884, A256865-A256870, A256874-A256879, A256786.

Sequence in context: A106634 A261077 A063126 * A115702 A003340 A345813

Adjacent sequences: A256863 A256864 A256865 * A256867 A256868 A256869

Keyword

nonn,base

Author

M. F. Hasler, Apr 11 2015

Status

approved