MathDB

4

Part of 2022 Francophone Mathematical Olympiad

Problems(2)

equation with 4 variables

Source: P4 : francophone math olympiad junior 2022

5/23/2022
find the smallest integer n≥1n\geq1 such that the equation : a2+b2+c2−nd2=0a^2+b^2+c^2-nd^2=0 has (0,0,0,0)(0,0,0,0) as unique solution .
number theory
problem involving the digits of a^b+1

Source: P4 francophone math olympiad senior 2022

5/23/2022
find all positive integer a≥2a\geq 2 and b≥2b\geq2 such that aa is even and all the digits of ab+1a^b+1 are equals.
number theory