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Brazilian numbers (Posted on 20170715) 

Definition: "Brazilian" numbers ("les nombres brĂ©siliens" in French)are numbers n such that exists a natural number k with 1<k< (n1) such that
the representation of n in base k has all equal digits.
1.Prove that all even numbers above 6 are Brazilian numbers.
2. How many odd Brazilian numbers are there below 100?

Submitted by Ady TZIDON

Rating: 3.0000 (1 votes)


Solution:

(Hide)

1. 22 is n= 2*k+2 in base k>2
2. There are 27 odd br.nmb. below 100. 
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