MathDB

8.1

Part of 1997 All-Russian Olympiad Regional Round

Problems(1)

numbers 1-16 in a line, not circle - All-Russian MO 1997 Regional (R4) 8.1

Source:

9/23/2024
Prove that the numbers from 11 to 1616 can be written in a line, but cannot be written in a circle so that the sum of any two adjacent numbers is square of a natural number.
number theoryPerfect Squarecombinatorics