Bundeswettbewerb Mathematik 1979 Problem 1.3
Source: Bundeswettbewerb Mathematik 1979 Round 1
September 23, 2022
other basesnumber theoryconsecutiveBases
Problem Statement
In base there exist two-digit natural numbers that can be factorized into two natural factors such that the two digits and the two factors form a sequence of four consecutive integers (for example, ). Determine all
such numbers in all bases.