MathDB

2019 BMT Team 8

Source:

January 7, 2022

algebranumber theory

Problem Statement

Let

(k_i)

be a sequence of unique nonzero integers such that

x^2- 5x + k_i

has rational solutions. Find the minimum possible value of

\frac15 \sum_{i=1}^{\infty} \frac{1}{k_i}