largest number in the street if the sum of house numbers put up is 3133
Source: (2021-) 2022 XV 15th Dürer Math Competition Finals Day 2 E6
December 12, 2022
number theoryalgebra
Problem Statement
In Kacs Aladár street, houses are only found on one side of the road, so that only odd house numbers are found along the street. There are an odd number of allotments, as well. The middle three allotments belong to Scrooge McDuck, so he only put up the smallest of the three house numbers. The numbering of the other houses is standard, and the numbering begins with . What is the largest number in the street if the sum of house numbers put up is ?