MathDB

Mica wrote a list of numbers using the following procedure. The first number is

1

, and then, at each step, he wrote the result of adding the previous number plus

3

. The first numbers on Mica's list are

1, 4, 7, 10, 13, 16,\dots.

Next, Facu underlined all the numbers in Mica's list that are greater than

10

and less than

100000,

and that have all their digits the same. What are the numbers that Facu underlined?

Problem Statement