MathDB

14

Part of 2013 India PRMO

Problems(1)

2013 preRMO p14, min odd m such 1+ 2 +...+ m square of an integer

Source:

8/8/2019
Let mm be the smallest odd positive integer for which 1+2+...+m1+ 2 +...+ m is a square of an integer and let nn be the smallest even positive integer for which 1+2+...+n1 + 2 + ... + n is a square of an integer. What is the value of m+nm + n?
number theoryPerfect SquaresPerfect Square