MathDB

N3

Part of 2019 JBMO Shortlist

Problems(1)

JBMO Shortlist 2019 N3

Source:

9/12/2020
Find all prime numbers pp and nonnegative integers x≠yx\neq y such that x4−y4=p(x3−y3)x^4- y^4=p(x^3-y^3).
Proposed by Bulgaria
number theory