|
|
A256867
|
|
Numbers divisible by prime(d+1) for each digit d of their base-7 representation.
|
|
2
|
|
|
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
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
COMMENTS
|
A variant of A256877 where digits 0 are forbidden and divisibility by prime(d) is required.
|
|
LINKS
|
|
|
MATHEMATICA
|
Select[Range[0, 9000], AllTrue[#/Prime[IntegerDigits[#, 7]+1], IntegerQ]&] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Sep 17 2020 *)
|
|
PROG
|
is(n, b=7)=!for(i=1, #d=Set(digits(n, b)), n%prime(d[i]+1)&&return)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,base
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|