10.1

Part of 2000 All-Russian Olympiad Regional Round

Problems(1)

99 % of 2000 numbers, composite - All-Russian MO 2000 Regional (R4) 10.1

Source:

2000

numbers are considered:

11, 101, 1001, . .

. Prove that at least

99\%

of these numbers are composite.

number theoryComposite