MathDB

N6

Part of 2021-IMOC

Problems(1)

Cool exponential diaphontine has no solutions

Source: IMOC 2021 N6

8/11/2021
Show that there do not exist positive integers x,y,zx,y,z such that xx+yy=9zx^x + y^y = 9^z
usjl
number theoryDiaphontine