1

Part of 2017 USAJMO

Problems(1)

MAA messed up the order(n)

Source: 2017 USAJMO #1/USAMO #1

Prove that there are infinitely many distinct pairs

(a, b)

of relatively prime integers

a>1

b>1

a^b+b^a

is divisible by

a+b

number theoryUSAJMOUSAMO2017 USAMOHi