6 consecutive autodivi integers wanted
Source: XI May Olympiad (Olimpiada de Mayo) 2005 L1 P2
September 22, 2022
number theoryconsecutive
Problem Statement
An integer is called autodivi if it is divisible by the two-digit number formed by its last two digits (tens and units). For example, is autodivi as it is divisible by , is autodivi since it is divisible by . Find consecutive integers that are autodivi and that have the digits of the units, tens and hundreds other than .