MathDB

3

Part of 1994 APMO

Problems(1)

N=a^2+b^2

Source: APMO 1994

3/11/2006
Let nn be an integer of the form a2+b2a^2 + b^2, where aa and bb are relatively prime integers and such that if pp is a prime, p≤np \leq \sqrt{n}, then pp divides abab. Determine all such nn.
number theoryrelatively primeprime numbersnumber theory unsolved