3

Part of 1899 Eotvos Mathematical Competition

Problems(1)

Prove that, for any natural number $n$, the expression $$A = 2903^n-803^n-464^n+

Source: Eotvos 1899 p3

Prove that, for any natural number

n

, the expression

A = 2903^n-803^n-464^n+261^n

is divisible by

1897