MathDB

9 always remainder by 1-10 May Olympiad (Olimpiada de Mayo) 2019 L2 P1

Source:

September 24, 2021

number theoryremainder

Problem Statement

A positive integer is called piola if the

9

is the remainder obtained by dividing it by

2, 3, 4, 5, 6, 7, 8, 9

and

10

and it's digits are all different and nonzero. How many piolas are there between

1

and

100000