A256865 Numbers divisible by prime(d+1) for each digit d of their base-5 representation.

0, 6, 10, 30, 50, 60, 110, 126, 150, 156, 168, 180, 210, 231, 250, 260, 300, 310, 378, 550, 630, 660, 726, 750, 756, 780, 810, 840, 900, 930, 1008, 1050, 1250, 1260, 1300, 1310, 1320, 1380, 1410, 1500, 1510, 1530, 1550, 1560, 1680, 1760, 1870, 1890, 1960, 2016, 2268, 2310, 2331, 2618, 2750, 2860, 3124, 3126, 3150, 3156, 3180

Offset

1,2

Comments

The base-5 variant of A256882 - A256884, A256866 - A256870 in bases 2, ..., 10.

A variant of A256875 where digits 0 are forbidden and divisibility by prime(d) is required.

Links

Table of n, a(n) for n=1..61.

Example

0 is divisible by prime(0+1)=2.
6 = 11_5 and is divisible by prime(1+1)=3.
10 = 20_5 and is divisible by prime(0+1)=2 and by prime(2+1)=5.
n = 1, 2, 3, 4 are not divisible by prime(n+1) = 3, 5, 7, 11. 5=10_5 is not divisible by prime(0+1)=2; 7=12_5 is not divisible by prime(2+1)=5, etc.

Prog

(PARI) is(n, b=5)=!for(i=1, #d=Set(digits(n, b)), n%prime(d[i]+1)&&return)

Crossrefs

Cf. A256882, A256883, A256884, A256866-A256870, A256874-A256879, A256786.

Sequence in context: A272508 A218553 A265857 * A163478 A130440 A178676

Adjacent sequences: A256862 A256863 A256864 * A256866 A256867 A256868

Keyword

nonn,base

Author

M. F. Hasler, Apr 11 2015

Status

approved