MathDB

P2

Part of 2003 Peru Cono Sur TST

Problems(1)

Sum of p perfect squares

Source: 2003 Peru Cono Sur TST P2

5/3/2023
Let pp and nn be positive integers such that pp is prime and 1+np1 + np is a perfect square. Prove that the number n+1n + 1 can be expressed as the sum of pp perfect squares, where some of them can be equal.
number theory