TOT 254 1990 Spring O S2 n =4k+1 , exist n odds whose sum = product
Source:
June 8, 2024
number theory
Problem Statement
Prove that
(a) if the natural number can be represented as (where is an integer), then there exist odd positive integers whose sum is equal to their product,
(b) if cannot be represented in this form then such a set does not exist.(M. Kontsevich)