MathDB

1

Part of 1958 Polish MO Finals

Problems(1)

504 / product of 2 consecutive swith middle = n^3

Source: Polish MO Finals 1958 p1

8/29/2024
Prove that the product of three consecutive natural numbers, the middle of which is the cube of a natural number, is divisible by 504 504 .
number theoryperfect cubedivides