A285455 - OEIS

A285455

Least number x such that x^n has n digits equal to k. Case k = 8.

8, 83, 92, 303, 525, 269, 725, 2169, 1298, 3466, 867, 1809, 4624, 793, 7252, 5195, 7521, 21397, 11286, 10482, 19713, 9573, 15815, 27879, 20978, 39673, 53445, 25276, 30943, 93984, 39767, 59441, 92928, 61256, 84303, 113117, 145948, 76304, 109934, 208709, 92674, 189862

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Table of n, a(n) for n=1..42.

EXAMPLE

a(4) = 303 because 303^4 = 8428892481 has 4 digits '8' and is the least number to have this property.

MAPLE

P:=proc(q, h) local a, j, k, n, t; for n from 1 to q do for k from 1 to q do

a:=convert(k^n, base, 10); t:=0; for j from 1 to nops(a) do if a[j]=h then t:=t+1; fi; od;

if t=n then print(k); break; fi; od; od; end: P(10^9, 8);

MATHEMATICA