MathDB

22

Part of 1983 IMO Longlists

Problems(1)

Does there exist an infinite number of sets

Source:

10/5/2010
Does there exist an infinite number of sets CC consisting of 19831983 consecutive natural numbers such that each of the numbers is divisible by some number of the form a1983a^{1983}, with a∈N,a≠1?a \in \mathbb N, a \neq 1?
modular arithmeticnumber theory unsolvednumber theory