Circling Positive Integers
Source:
September 8, 2024
number theory2024
Problem Statement
Let be the answer to problem 2.On a number line, Tanya circles the first positive integers. Then, starting with the greatest number in the most recent circle, she circles the next positive integers, so that the two circles have exactly one number in common; she repeats this until is in a circle. Compute the sum of all possible values of for which is the greatest number in a circle.