perplexus.info :: Sequences : Brazilian numbers

Brazilian numbers (Posted on 2017-07-15)

Definition: "Brazilian" numbers ("les nombres brésiliens" in French)are numbers n such that exists a natural number k with 1<k< (n-1) 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.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Part 1 Solution and more	Ady TZIDON	2017-07-28 11:52:17
Program had a bug -- fixed it	Charlie	2017-07-15 12:36:30
re: Part 1 Solution and more	Steve Herman	2017-07-15 11:42:56
Part 1 Solution and more	Brian Smith	2017-07-15 09:49:24

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