N8

Part of 2024-IMOC

Problems(1)

a^k+b^k-1|a^n+b^n-1

Source: 2024IMOC

Find all integers

(a,b)

satisfying: there is an integer

k>1

a^k+b^k-1\ |\ a^n+b^n-1

holds for all integer

n\geq k

(we define that

0|0