A256867 Numbers divisible by prime(d+1) for each digit d of their base-7 representation.

0, 15, 57, 100, 168, 182, 396, 450, 624, 700, 750, 800, 840, 1050, 1176, 1190, 1274, 1485, 1540, 1716, 2520, 2652, 2760, 2772, 2814, 2850, 2898, 2970, 3150, 3486, 3570, 3861, 4173, 4368, 4488, 4860, 4900, 4940, 4970, 5160, 5250, 5490, 5595, 5600, 5880, 5950, 6435, 6630, 7224, 7350, 7560, 7602, 7910, 8050, 8232, 8330

Offset: 1

Author

M. F. Hasler, Apr 11 2015

Keywords

• nonn
• base

Comments

The base-7 variant of A256882 - A256884, A256865 - A256870 in bases 2, ..., 10.

A variant of A256877 where digits 0 are forbidden and divisibility by prime(d) is required.

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

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

Programs

Mathematica

Select[Range[0,9000],AllTrue[#/Prime[IntegerDigits[#,7]+1],IntegerQ]&] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Sep 17 2020 *)

PARI

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